• <tr id="yyy80"></tr>
  • <sup id="yyy80"></sup>
  • <tfoot id="yyy80"><noscript id="yyy80"></noscript></tfoot>
  • 99热精品在线国产_美女午夜性视频免费_国产精品国产高清国产av_av欧美777_自拍偷自拍亚洲精品老妇_亚洲熟女精品中文字幕_www日本黄色视频网_国产精品野战在线观看 ?

    Study on Quantitative Relationship between Surface Wettability and Frictional Coefficient of Liquid Flowing in a Turbulent Horizontal Pipe

    2017-11-01 09:26:46JingJiaqiangQiHongyuanJiangHuayiLiangAiguoShiJianyingWangYulongSunNanaZhangYixiang
    中國煉油與石油化工 2017年3期

    Jing Jiaqiang; Qi Hongyuan; Jiang Huayi; Liang Aiguo; Shi Jianying;Wang Yulong,; Sun Nana; Zhang Yixiang

    (1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University,Chengdu 610500; 2. Oil & Gas Fire Protection Key Laboratory of Sichuan Province, Chengdu 611731;3. College of Petroleum Engineering, Xi’an Shiyou University, Xi’an 710065;4. No. 1 Production Plant of Xinjiang Oil field Branch Company, Karamay 834000;5. Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049)

    Study on Quantitative Relationship between Surface Wettability and Frictional Coefficient of Liquid Flowing in a Turbulent Horizontal Pipe

    Jing Jiaqiang1,2; Qi Hongyuan1; Jiang Huayi3; Liang Aiguo4; Shi Jianying4;Wang Yulong3,5; Sun Nana3; Zhang Yixiang3

    (1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University,Chengdu 610500; 2. Oil & Gas Fire Protection Key Laboratory of Sichuan Province, Chengdu 611731;3. College of Petroleum Engineering, Xi’an Shiyou University, Xi’an 710065;4. No. 1 Production Plant of Xinjiang Oil field Branch Company, Karamay 834000;5. Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049)

    This paper had investigated the effects of surface wettability on the frictional resistance of turbulent horizontal flow for tap water in five pipes made of various materials and four kinds of liquids in a polytetrafluoroethylene (PTFE) pipe,with the same inner diameter of 14 mm. Pressure drops were measured under different flow rates through an experimental flow loop. The contact angles and adhesion work of liquids in contact with pipe surfaces were determined using a contact angle meter. Based on the dimension and regression analyses, two kinds of modified relationships between the frictional coefficient and the surface wettability were established according to the measured results corresponding to tap water in five pipes and four liquids in PTFE pipe. The experimental results show that the surface wettability has some influence on frictional coefficient of the studied liquids flowing in macroscale pipes, and the frictional coefficient decreases with the increase of the contact angle at the same Reynolds number. Meanwhile the effect of wettability on the hydrophobic surface is greater than that on the hydrophilic one. The frictional coefficients predicted by the modified formulas have verified to be in good agreement with the experimental values, the relative errors of which are within ±6% and ±3% for the tap water flowing in five different pipes and four kinds of liquids flowing in PTFE pipe, respectively.

    wettability; contact angle; frictional coefficient; adhesion work; fluid mechanics; turbulent flow

    1 Introduction

    The design of an oil pipeline is vitally important to the safe operation of pipeline, and the hydraulic calculation is the basis of pipeline design. At present, traditional calculation methods and formulas of frictional resistance are relatively mature. The classic fluid dynamics assumes that the frictional coefficient is related to the roughness of the inner surface of a pipe and the Reynolds number.But in fact, the current research status shows that the frictional coefficient is still related to the pipe surface wettability[1-5].

    The present researches on surface wettability mainly draw a qualitative conclusion that the hydrophobic surface could lead to larger drag reduction and friction resistance reduction in flow[6-8]. Thus, many scholars adopt various physical or chemical methods to fabricate the hydrophobic surface[9-12], aiming at reaching a better drag reduction effect[13-15]. With the large-scale promotion of non-metallic pipelines in oil field[16-17], the classic frictional coefficient formulas show greater deviations when they are applied in the oil field, since they are not completely suited to the practical conditions of the pipelines[18]. Liu established a indoor experimental apparatus to measure the on-way resistance of two non-metallic pipes[19]. The result showed that, compared with the Darcy formula, the Drew formula and the Panhandle formula were recommended to calculate the friction resistance of these two pipes.

    In conclusion, no consensus has been reached at this stage as to the issue of whether hydrophobic surface has the effect of reducing friction resistance on a macroscopic scale. The quantitative relationship between the pipe surface wettability and the frictional coefficient has not been widely reported. Besides, from the view of practical application of the same liquid, different types of pipes can be chosen to transport this liquid. Similarly,for an existing pipe, different kinds of liquids can be transported in this pipe. The changes of these two parts can both affect the interface wettability. Therefore, this paper intends to study the effects of surface wettability on frictional coefficient from these two aspects. Attempts have been made to establish the relationship between the surface wettability and the frictional coefficient through the dimensional and regression analyses in turbulent flow. Through these studies, it is expected to provide a reference for pipe design and selection.

    2 Experimental

    Figure 1 Schematic illustration of the experimental flow loop

    Schematic illustration of the experimental flow loop is shown in Figure 1. Liquid from a tank was circulated in the pipe by a self-priming pump. The whole circulation loop was about 13 m in total length. Five replaceable test pipes covered a glass pipe, a stainless steel pipe, a plexiglass pipe, a polypropylene pipe (PP pipe) and a polytetrafluoroethylene pipe (PTFE pipe),respectively. They were all 5 m in length and 14 mm in inner diameter. Two pressure measurement points were located at 2.1 m and 3.9 m away from the inlet of test pipe, respectively. This con figuration shows that the test section of each pipe was 1.8 m in length, with the inlet stable section and the outlet stable section equating to 2.1 m and 1.1 m in length, respectively. The calculation of hydrodynamic entry length for laminar flow indicated that 2.1 m was enough to eliminate the entrance effect on the experimental results so that the flow was fully hydrodynamically developed at the test section. To reduce the experimental errors, the whole 5-meter-long test pipe was replaced by the pipes made of different materials with the same diameter according to experimental requirements. The pressure drop in test section was measured by a differential pressure transducer with a digital display screen, the measurement range of which was 0~10 000 Pa with an accuracy of 0.5%. The diameter of the pressure hole in each pipe was 2 mm. The liquid flow rate was controlled by a ball valve installed at the inlet and the outlet of pipes. To satisfy the measurement accuracy under different flow patterns, two turbine flow meters with different ranges (0.04—0.4 m3/h and 0.4—8 m3/h) with an accuracy of 0.5% were used to measure the flow rate of the liquid. In order to reduce errors in the experiments, each pipe was tested three to four times at a given flow rate and the average pressure drop was taken as the final data. The temperature of liquid, which was controlled by an indoor air conditioner,was set at 28 °C and was measured by a mercurial thermometer placed in the liquid tank.

    2.1 Tap water flow in five pipes

    Figure 2 Photos of tap water on five pipe surfaces: (a)glass, (b) stainless steel, (c) plexiglass, (d) PP, and (e) PTF E

    In general, the wettability of a solid surface is characterized by the static contact angle (contact angle for short).In order to compare the surface wettability of five test pipes, the contact angle of tap water on five surfaces was measured by the sessile drop technique using a contact angle meter (JC2000D2, Shanghai Zhongchen Digital Technique Apparatus Co., Ltd.) at room temperature (28± 0.5 °C). Before measuring, each pipe was cut into four test specimens (5 mm×5 mm×3 mm) at different locations.Then a 3-μL liquid droplet controlled by a micro-syringe was dropped on each test specimen of the pipe. The photos of contact angles are shown in Figure 2. The contact angle of each pipe was the average of 20 sets of experiment data.Surface energies of five pipes were obtained using the Owens-Wendt method[20]. Distilled water and diiodomethane were selected as the test liquids. The surface energy of each specimen was measured five times, and the average surface energy of each pipe was obtained. The pipe surface roughness Ra(arithmetical mean deviation) was directly measured using a surface roughness tester (TR 200, Beijing Times Peak Co., Ltd). The measurement was repeated at four different locations at the inlet and the outlet of each pipe, respectively. The 8 sets of data were averaged. The results of measurement are shown in Table 1. Tap water was the test liquid for measuring the contact angle, with its density, viscosity and surface tension at 28 °C equating to 0.995 g/cm3, 0.91 mPa·s, and 70.13 mN/m, respectively.Besides the contact angle, the adhesion work also reflects the binding ability of the solid-liquid interface and the interaction force between the molecules in two phases. At the interface, the adhesion work[21-22]can be represented as:

    Table 1 Properties of five pipes

    where γlgis the liquid-gas interfacial tension, Wais the adhesion work and θ is the apparent contact angle.The cohesion work Wcis defined as that capable of creating an interface within a liquid and separating them to two independent surfaces against vapor. It is expressed as:

    By using Equations (1) and (2), the adhesion work between the tap water and five pipe surfaces, and the cohesion work of tap water can be calculated,respectively. The result is shown in Figure 3.

    Figure 3 Cohesion work of tap water and adhesion work with five pipes

    2.2 Four liquid flows in PTFE pipe

    The four liquids are #0 diesel, a mixture of #26 white oil:#0 diesel (1:9), a mixture of glycerine:tap water(1:3) and a mixture of ethylene glycol:tap water (1:2),respectively. The #0 diesel was obtained from the Shell gas station in Yanchang. The #26 white oil was provided by the Shaanxi Huntair Co., Ltd. Glycerine and ethylene glycol were provided by the Chengdu Kelong Chemical Factory. The contact angle photo of each liquid on the PTFE surface is shown in Figure 4. The basic properties of four liquids are shown in Table 2.

    Figure 4 Photos of four liquids on PTFE pipe surface:(a) #0 diesel, (b) mixture of #26 white oil:#0 diesel (1:9), (c)mixture of glycerine:water (1:3), and (d) mixture of ethylene glycol:water (1:2)

    Table 2 Properties of four liquids (28 °C)

    Similarly, the adhesion work of four liquids on PTFE pipe surface and the corresponding cohesion work are shown in Figure 5.

    Figure 5 Cohesion work of four liquids and adhesion work with PTFE pipe

    2.3 Uncertainty analysis

    According to the Darcy formula, the frictional coefficient λ is:

    where l, Q, d, ρ and ΔP are pipe length, volume flow rate, pipe diameter, fluid density and pressure drop,respectively. The Reynolds number Re is:

    where v is the kinematic viscosity of experimental liquid,which is a function of temperature. According to Equation(3), the uncertainty in determining frictional coefficient λ consists of the uncertainties originating from d, l, Q, ρ,and ΔP. Similarly, the uncertainty of Reynolds number Re is determined by the uncertainties of d, v, and Q.

    The diameters of five pipes are measured by a digital vernier caliper with a precision of 0.01 mm. The pipes used in this study are 14 mm in diameter, so the error is 0.07%. The pipe length in the experiment is 5 m with a measuring precision of 1 mm, so the error is around 0.2%.The resolution of differential pressure transducer is 1 Pa, which results in an uncertainty in the pressure drop measurement ranging from 2% for slower flows to 0.5%for higher flows. The flow rate is measured by a turbine flow meter with a precision of 0.5, so the uncertainty is 0.5%. The uncertainty of liquid density is 0.1%. During the experiments, the temperature variation is ±0.5 °C at a set temperature of 28 °C. The uncertainty of viscosity caused by temperature variation is about 1%. The uncertainty of contact angle measurement is ±2°. Based on the error analysis method[23], the uncertainty of λ and Re in flow are:

    According to Equations (5) and (6), the maximum uncertainty of λ in experiments is estimated at about 2.27%and that of Re is 1.12% based on a 95% confidence level.

    3 Results and Discussion

    3.1 Comparison of experimental and theoretical frictional coefficients

    This study presents the comparison of experimental and theoretical frictional coefficients and veri fies the effect of wettability on the frictional resistance from two parts. The experimental results are shown in Figure 6 and Figure 7,respectively.

    Figure 6 Plot of frictional coefficient of water against the Reynolds number in five pipes

    Figure 7 Plot of frictional coefficients of four liquids against the Reynolds number in PTFE pipe

    It can be seen from Table 1 that the absolute pipe roughness of five pipes ranges from 0.026 μm to 3.216 μm. According to the definition of relative roughness ε, viz. the ratio of absolute roughness to the pipe inner diameter, the relative roughness of five pipes can be determined. And then the critical Reynolds number between the hydraulic smooth region and the mixed friction area of turbulent regime could be approximately figured out as 59.7/ε8/7[24]. Through calculation, the minimum critical Reynolds number (3.90×105) is far greater than the maximum experimental Reynolds number of the tap water flowing in five pipes (37977). In the same way, the maximum experimental Reynolds number of four liquids flowing in the PTFE pipe (11747) is also considerably below the critical Reynolds number. So the flow regime of all experimental data is in a hydraulic smooth region of turbulent flow. Hence, the effect of surface roughness can be neglected based on the classic theory of fluid mechanics.

    In Figure 6 and Figure 7, the effect of surface wettability is evaluated according to the agreement analysis between the measured and the theoretical values of frictional coefficient.The greater the contact angle of liquid on pipe surface, the smaller the frictional coefficient of liquid would be. As depicted in Figure 6, for glass pipe, stainless steel pipe and plexiglass pipe, the frictional coefficients of tap water in three pipes can better fit their theoretical values calculated by the Blasius formula (λ=0.316 4/Re0.25). The universally accepted theory of classic fluid dynamics relying on the assumption of non-slip boundary condition seems to be still applicable to the three pipes.

    This phenomenon may be explained in this way: Many studies have confirmed that the occurrence of wall slip on the solid-liquid interface depends on whether the solid wall can be wetted by liquid[25]. From a microscopic perspective, it depends on the difference between the cohesion work of liquid and the adhesion work of solidliquid interface. And the greater the difference of two work values, the harder the solid wall would be wetted. It can be seen from Figure 3 that the cohesion work of tap water is 140.62 mJ/m2. The magnitude of adhesion work of five pipes with tap water decreases in the following order: glass pipe (127.65 mJ/m2) > stainless steel pipe(102.84 mJ/m2) > plexiglass pipe (74.17 mJ/m2) > PP pipe(67.68 mJ/m2) > PTFE pipe (39.61 mJ/m2). Hence these smaller differences between cohesion work and adhesion work for glass pipe, stainless steel pipe and plexiglass pipe make the tap water easier to adhere to these pipe surfaces, resulting in a greater friction loss. Besides,notwithstanding the appropriate surface roughness can promote the hydrophobicity of pipe surface, either the rougher surface of stainless steel or the smoother surface of glass and plexiglass could be hard for tap water to form an air cushion[26]. So the average relative deviation of frictional efficient between the experimental values and the theoretical values is only 0.93% in glass pipe,2.24% in stainless steel pipe, and 4.18% in plexiglass pipe, respectively. Therefore, upon considering inevitable experimental errors, the wettability of pipe surface has no influence on the frictional coefficient in a relatively wetted pipe.

    However, in the PP pipe and the PTFE pipe, the experimental values of frictional coefficient of tap water thoroughly depart from the theoretical values. And the gap between them becomes greater with an increasing contact angle. The average relative deviation reaching up to 17.01% appears in the PTFE pipe. Additionally we can see from Figure 7 that the frictional coefficients of four liquids flowing in the PTFE pipe also have greater deviations as compared with the theoretical values.The maximum deviation reaches up to 29.06% for the mixture of ethylene glycol and tap water (1:2), the minimum deviation reaches 21.10% for #0 diesel. The liquid with a bigger contact angle has a smaller frictional coefficient at the same Reynolds number. Obviously, the classic frictional coefficient formula has not produced satisfactory experimental results, and in that case the impact of surface wettability can hardly be ignored.

    One reason for this phenomenon can be attributed to the non-wetting PTFE pipe wall, and the adhesion work of tap water in the pipe is as low as 39.61 mJ/m2,which results in a greater discrepancy with cohesion work of water. Especially the surface modified with specific fluorine element displays excellent hydrophobic property. So a part of liquid on the wall apparently slips which actually leads to a smaller frictional resistance as compared with other pipes. For another reason, there are many approximately micro-nanoscale protruding spherical particles that are uniformly distributed on the PTFE surface, which increases the surface porosity and provides a sufficient roughness for hydrophobic surface.When a small liquid droplet is deposited on its surface,this is exactly the micro-nanostructure that can decrease the contact area of water and pipe surface, and hold back more air to prevent water from seeping into the gap[9,27].Therefore, the friction is shifted from the liquid-solid interface into the liquid-air interface, which greatly reduces the frictional resistance. Similarly, the frictional coefficient of PP pipe is greater than that of PTFE pipe.In Figure 5, the adhesion work and cohesion work of four liquids are all different due to different surface tension values of four liquids. The magnitude of the difference between the adhesion work and the cohesion work increases in the following order: #0 diesel (5.32 mJ/m2)< mixture of white oil and diesel (1:9) (7.52 mJ/m2)<mixture of glycerine and tap water (1:3) (50.56 mJ/m2) <mixture of ethylene glycol and tap water (1:2) (63.47 mJ/m2).Based on these data we can see that the binding force between diesel and PTFE is firmer and the wetting degree of PTFE surface by diesel is stronger. Therefore, the diesel is difficult to slip on the PTFE surface in flow and the frictional coefficient of diesel is greater. Conversely,the greater discrepancy between adhesion work and the cohesion work of the mixture of ethylene glycol and tap water (1:2) leads to a smaller frictional coefficient.

    To further observe the impact of pipe surface wettability on frictional coefficient more intuitively, the dependence of the frictional coefficient of liquids on contact angle at the same Reynolds number is given in Figure 8 and Figure 9, respectively.

    Figure 8 Dependence of the frictional coefficient of tap water on contact angle

    Figure 9 Dependence of the frictional coefficient of four liquids on contact angle

    In Figure 8 and Figure 9, we found that the frictional coefficient of liquid decreases gradually with the increase of contact angle at the same Reynolds number. And the effect of surface wettability on frictional coefficient in the hydrophobic pipe is greater than that in the hydrophilic pipe. In Figure 8, when the contact angle increases from 34.9° to 86.7°, the corresponding frictional coefficient only reduces by 1.55% at Re=9 856 and by 3% at Re=12 465, which could be approximately ignored as compared with the experimental error. But when the contact angle exceeds 90°, the smaller increase of contact angle from 92° to 115.8° has led to a greater frictional coefficient reduction by 5% at Re=9 856 and by 6.16%at Re=12 465. In the same way, as shown in Figure 9,when the contact angle increases from 37.3° to 44.6°, the corresponding frictional coefficient only reduces by 2.22%at Re = 5 727, by 1.14% at Re = 6 492, and by 0.98% at Re = 7 047, respectively. While the contact angle is in the range of 90.8°~96.7°, the reduction of corresponding frictional coefficient is 2.83% at Re = 5 727, 2.90% at Re = 6 492, and 2.50% at Re = 7 047, respectively.From here it can be concluded that the effect of surface wettability on the frictional coefficient of four liquids is less than that on the frictional coefficients of tap water in five pipes. In other words, compared with that from liquid point for the same pipe, it has more practical significance to increase the contact angle of solid-liquid interface from the pipe point for the same liquid.

    3.2 modified frictional coefficient formula

    Through the above pipeline experiments, the results suggest that most experimental values of the frictional coefficient are over-predicted by the Blasius formula. The main reason may be that the theoretical formula neglects the drag reduction effect of pipe surface wettability. In general, the influencing factors of surface wettability are characterized by the cosine of contact angle. Therefore,the contact angle θ is introduced into the calculation of frictional resistance as an influencing factor.

    Based on the above analysis, the main influencing factors on the differential pressure of fluid flow in a horizontal pipe cover the pipe length l, the pipe diameter d, the fluid density ρ, the fluid dynamic viscosity μ, the flow velocity u and the contact angle θ. The functional form can be written as:

    By means of dimension analysis, the following dimensionless form of Equation (7) is obtained:

    And hence,

    where hfis the head loss of pipe, which is proportional to l/d. After the introduction of the Reynolds number,Equation (9) becomes:

    Equation (10) can be expressed as:

    where λ is the frictional coefficient. So

    It can be seen from Equation (12) that the modified frictional coefficient is a function of the Reynolds number Re and the non-dimensional parameter cosθ.

    Furthermore, a modified frictional coefficient formula containing the contact angle in turbulent flow is given by:

    where a1and a2are the undetermined parameters, ε is the relative roughness of an inner pipe surface.

    Through the experimental section research, the results show that these two parts both have different influence on the relationship between the frictional coefficient and the contact angle. Therefore, two kinds of modified frictional coefficient formulas are established and verified by the corresponding experimental data relating to these two aspects, respectively.

    3.2.1 Verification by measured results of tap water flowing in five pipes

    By using 86 sets of experimental data of tap water flowing in five pipes and the SPSS regression analysis, the value of a1and a2can be calculated. Thus, Equation (13) turns out to be:

    Then the above model and the correlation coefficient are verified with the SPSS regression analysis. The results are shown in Table 3 and Table 4.

    Table 3 Regression model

    Table 4 Test results of correlation coefficient

    It can be seen from Table 3 that the adjustment accuracy R2of the regression model is 0.999. Through the F test,the significance level is equal to 0.000. It can be seen from Table 4 that after t test, the significance level is also equal to 0.000. Thus, the coefficients of model are not all zero and the model has a relatively high fitting precision.Besides, the result of collinearity diagnosis suggests that the collinearity problem between variables does not exist.In conclusion, the regression model is more reasonable.The frictional coefficients predicted by the modified formula (14) are compared with the experimental values of tap water flowing in five pipes. The result is shown in Figure 10.

    Figure 10 Comparison of experimental and predicted data before and after modification ( five pipes)

    In Figure 10, as a whole, it is obvious that the predicted values of frictional coefficient after modification are in good agreement with the experimental values within a relative error of ±6%. As for water flowing in the glass pipe, the stainless steel pipe and the plexiglass pipe, whether it is necessary to consider the effect of the surface wettability seems impossible to affect the outcome. This is also consistent with the experimental results of tap water flowing in five pipes. The average relative error of frictional coefficient between the predicted values after modification and the experimental values is slightly higher than that between theoretical values and experimental values by 0.92% in the glass pipe, and by 0.62% in the plexiglass pipe, respectively.Also in the stainless steel pipe, the average relative error is lower by 1.16%. Upon considering the inevitable experimental errors and the calculated errors, the average relative error of ±1.16% is within an accepted error scope.As for the PP pipe and the PTFE pipe, we can see that the predicted values after modification are closer to the experimental values. The gap between the predicted and the experimental values declines from 12.47% to 2.75%in the PP pipe, and from 17.01% to 1.60% in the PTFE pipe, respectively, which means that it is a right choice to take the effect of wettability on frictional coefficient into consideration.

    3.2.2 Veri fication by measured results of four liquids flowing in PTFE pipe

    Similarly, 91 sets of experimental data of four liquids flowing in the PTFE pipe coupled with the SPSS regression analysis are used to calculate the value of a1and a2. Thus, Equation (13) can be written as:

    Then the above model and the correlation coefficient are tested with the SPSS regression analysis. The results are shown in Table 5 and Table 6.It can be seen from Table 5 and Table 6 that the regression model is also more reasonable. Similarly, the experimental data of four liquids flowing in PTFE pipe are compared with the predicted data before and after modification, and the result is shown in Figure 11.

    Table 6 Test results of correlation coefficient

    Figure 11 Comparison of experimental and predicted data before and after modification (four liquids)Before modification: □—#0 diesel;

    In Figure 11, the effects of surface wettability for four liquids are more obvious. However, in the same pipe the effect of wettability exerted by different liquids on frictional coefficient still cannot be ignored. Before modification, the maximum average relative deviation of frictional coefficient between the experimental values and the theoretical values can reach up to 28.06% for the mixture of ethylene glycol:tap water (1:2). But after modification, this number drops to only 0.72%. As for the other three liquids, the average relative error is 0.55% for #0 diesel, 0.93% for the mixture of white oil:diesel (1:9), and 0.84% for the mixture of glycerine:tap water (1:3), respectively. In a word, the modified frictional coefficient formula has high prediction accuracy with a relative error of ±3%.

    4 Conclusions

    In this study, the effect of surface wettability on frictional resistance in the turbulent flow was experimentally investigated by tap water flowing in five pipes and four liquid flowing in PTFE pipe based on the results obtained in an experimental flow loop. After the evaluation of the consistence between the experimental values and the theoretical values of frictional coefficient at the same Reynolds number, the results showed that the surface wettability had a significant impact on the frictional coefficient in the macroscale pipe. And the frictional coefficient decreased gradually with an increasing contact angle at the same Reynolds number. Meanwhile the magnitude of effect of surface wettability in hydrophobic pipes was greater than that in hydrophilic pipes.

    Based on the dimensional and regression analyses, two modified frictional coefficient formulas considering the contact angle were well established. After being verified by the experimental results, two formulas both had very high prediction accuracy, while the effect of wettability on frictional coefficient could not be ignored. The relative error was within ±6% for tap water flowing in five different pipes and within ±3% for four kinds of liquids flowing in the PTFE pipe.

    Acknowledgements: This work was supported by the National Major Science & Technology Project of China(No. 2016ZX05025004-005) and the Science & Technology Project of Sichuan Province (Grant No. 2015JY0099).

    [1] Lee T, Charrault E, Neto C. Interfacial slip on rough,patterned and soft surfaces: A review of experiments and simulations[J]. Advances in Colloid and Interface Science,2014, 210: 21-38

    [2] Neto C, Evans D R, Bonaccurso E, et al. Boundary slip in Newtonian liquids: A review of experimental studies[J].Reports on Progress in Physics, 2005, 68(12): 2859-2897

    [3] Rothstein J P. Slip on superhydrophobic surfaces[J].Annual Review of fluid Mechanics, 2010, 42(1): 89-109

    [4] Zhang P, Lv F Y. A review of the recent advances in superhydrophobic surfaces and the emerging energyrelated applications[J]. Energy, 2015, 82: 1068-1087

    [5] Sun H. Research on the characteristic of the flow obstruction of the fluid whith fluid flowing in the tube made of different materials[J]. Journal of Xinjiang Petroleum Institute, 2004, 16(3): 70-84 (in Chinese)

    [6] Watanabe K, Udagawa Y, Udagawa H. Drag reduction of Newtonian fluid in a circular pipe with a highly waterrepellent wall[J]. Journal of fluid Mechanics, 1998, 381:225-238

    [7] Watanabe K, Udagawa H. Drag reduction of non-Newtonian fluids in a circular pipe with a highly waterrepellent wall[J]. AICHE Journal, 2001, 47(2): 256-262

    [8] Lv F Y, Zhang P. Drag reduction and heat transfer characteristics of water flow through the tubes with superhydrophobic surfaces[J]. Energy Conversion and Management, 2016, 113: 165-176

    [9] Dong H, Cheng M, Zhang Y, et al. Extraordinary dragreducing effect of a superhydrophobic coating on a macroscopic model ship at high speed[J]. Journal of Materials Chemistry A, 2013, 1(9): 5886-5891

    [10] Choi C H, Westin K J A, Breuer K S. Apparent slip flows in hydrophilic and hydrophobic microchannels[J]. Physics of fluids, 2003, 15(10): 2897-2902

    [11] Ou J, Perot B, Rothstein J P. Laminar drag reduction in microchannels using ultrahydrophobic surfaces[J]. Physics of fluids, 2004, 16(12): 4635-4643

    [12] Daniello R J, Waterhouse N E, Rothstein J P. Drag reduction in turbulent flows over superhydrophobic surfaces[J]. Physics of fluids, 2009, 21(8): 085103

    [13] Han H S, Sun X B, Wang X B, et al. Study offlow law about oil in pipeline with nanometer layer[J]. Offshore Oil,2006, 26(3): 83-86 (in Chinese)

    [14] Lyu S, Nguyen D C, Kim D, et al. Experimental drag reduction study of super-hydrophobic surface with dualscale structures[J]. Applied Surface Science, 2013, 286:206-211

    [15] Aljallis E, Sarshar M A, Datla R, et al. Experimental study of skin friction drag reduction on superhydrophobic flat plates in high Reynolds number boundary layer flow[J].Physics of fluids, 2013, 25: 025103

    [16] Qi D, Li H, Cai X, et al. Application of non-metallic composite pipes in oilfields in China[C]. International Conference on Pipelines and Trenchless Technology,American Society of Civil Engineers, 2012

    [17] Zhou Y X, Chen B, Li J Y. Application and evaluation of non-metallic pipeline in Lamadian oilfield[J]. Advanced Materials Research, 2013, 694-697: 521-525

    [18] Mustaffa Z B, Albarody T M B. Flexible thermosetting pipe[J]. Advanced Materials Research, 2014, 983: 444-449

    [19] Liu B J, Guan C, Zong Z C. Hydraulic experimental study on two kinds of nonmetallic plastic pipes[J]. Advanced Materials Research, 2012, 594-597: 2014-2017

    [20] Owens D K, Wendt R C. Estimation of the surface free energy of polymers[J]. Journal of Applied Polymer Science, 1696, 13(8): 1741-1747

    [21] Girifalco L A, Good R J. A theory for the estimation of surface and interfacial energies. I. derivation and application to interfacial tension[J]. Journal of Physical Chemistry, 1957, 61(7): 904-909

    [22] Nikolov A, Wasan D. Current opinion in superspreading mechanisms[J]. Advances in Colloid and Interface Science,2015, 222: 517-529

    [23] Moffat R J. Describing the uncertainties in experimental results[J]. Experimental Thermal and Fluid Science, 1988,1(1): 3-17

    [24] Blasius H. Grenzschichten in Flüssigkeiten mit kleiner Reibung[J]. Zeitschrift Fur Angewandte Mathematik und Physik, 1908, 56: 1-37

    [25] Xie Z L, Rao Z S, Na T, et al. Theoretical and experimental research on the friction coefficient of water lubricated bearing with consideration of wall slip effects[J].Mechanics & Industry, 2016, 17(1): 106

    [26] Tretheway D C, Meinhart C D. A generating mechanism for apparent fluid slip in hydrophobic microchannels[J].Physics of fluids, 2004, 16(5): 1509-1515

    [27] Park K C, Choi H J, Chang C H, et al. Nanotextured silica surfaces with robust superhydrophobicity and omnidirectional broadband supertransmissivity[J]. ACS Nano, 2012, 6(5): 3789-3799

    date: 2017-04-06; Accepted date: 2017-05-31.

    Qi Hongyuan, E-mail: haidailovely_7@163.com.

    小说图片视频综合网站| 啦啦啦韩国在线观看视频| 九九在线视频观看精品| 日韩av在线大香蕉| 国产成人影院久久av| 日本一二三区视频观看| 国产亚洲91精品色在线| 麻豆国产97在线/欧美| 12—13女人毛片做爰片一| 久久精品夜夜夜夜夜久久蜜豆| 日韩一本色道免费dvd| 99久久九九国产精品国产免费| 男人狂女人下面高潮的视频| 国产色爽女视频免费观看| 直男gayav资源| 国产精品人妻久久久影院| 麻豆国产97在线/欧美| av在线天堂中文字幕| 欧美性感艳星| 精品免费久久久久久久清纯| 亚洲精品色激情综合| 国产高清视频在线观看网站| 大型黄色视频在线免费观看| 亚洲人成网站在线播放欧美日韩| 看十八女毛片水多多多| 男人狂女人下面高潮的视频| bbb黄色大片| 亚洲精品456在线播放app | 欧美+亚洲+日韩+国产| 97人妻精品一区二区三区麻豆| 日韩欧美三级三区| 九九热线精品视视频播放| 女人十人毛片免费观看3o分钟| 成人无遮挡网站| 国产成人av教育| 中文字幕免费在线视频6| 午夜精品一区二区三区免费看| 久久久久免费精品人妻一区二区| 一个人看的www免费观看视频| 免费观看在线日韩| 国产一区二区三区av在线 | 亚洲最大成人中文| 欧美日韩综合久久久久久 | 麻豆av噜噜一区二区三区| 人人妻人人看人人澡| 在线观看av片永久免费下载| 乱人视频在线观看| 中出人妻视频一区二区| 黄色日韩在线| 亚洲中文字幕日韩| 日本黄色视频三级网站网址| 最近在线观看免费完整版| 亚洲av熟女| 欧美成人a在线观看| 国产欧美日韩一区二区精品| 欧美成人免费av一区二区三区| 国内精品久久久久精免费| 国产免费男女视频| 午夜福利在线观看免费完整高清在 | 黄色配什么色好看| 1000部很黄的大片| 草草在线视频免费看| 亚洲精品粉嫩美女一区| 日本 欧美在线| 国产麻豆成人av免费视频| 日韩欧美在线二视频| 亚洲中文日韩欧美视频| 看免费成人av毛片| 国产爱豆传媒在线观看| 色吧在线观看| 男女视频在线观看网站免费| 久久久国产成人精品二区| 联通29元200g的流量卡| 国产亚洲精品综合一区在线观看| 麻豆一二三区av精品| 精品午夜福利在线看| 麻豆国产97在线/欧美| 免费大片18禁| 美女 人体艺术 gogo| 麻豆精品久久久久久蜜桃| 男女那种视频在线观看| 亚洲国产日韩欧美精品在线观看| 国产探花极品一区二区| 乱码一卡2卡4卡精品| 国产欧美日韩精品一区二区| 精品一区二区三区av网在线观看| 两性午夜刺激爽爽歪歪视频在线观看| 内射极品少妇av片p| 91午夜精品亚洲一区二区三区 | 性插视频无遮挡在线免费观看| 国产美女午夜福利| 中文字幕人妻熟人妻熟丝袜美| 内地一区二区视频在线| 国产精品野战在线观看| 色综合色国产| 人人妻,人人澡人人爽秒播| 人人妻人人澡欧美一区二区| 色5月婷婷丁香| 99精品在免费线老司机午夜| 伦精品一区二区三区| 一进一出抽搐gif免费好疼| 国产老妇女一区| 精品久久久久久,| 丰满人妻一区二区三区视频av| 久久久久久久午夜电影| 亚洲黑人精品在线| 免费在线观看成人毛片| 中文字幕人妻熟人妻熟丝袜美| 免费搜索国产男女视频| 简卡轻食公司| 桃色一区二区三区在线观看| 欧美高清成人免费视频www| .国产精品久久| 国产三级在线视频| 精品乱码久久久久久99久播| 国产真实伦视频高清在线观看 | 97热精品久久久久久| 亚洲国产色片| 国产精品永久免费网站| 国产免费男女视频| 国产白丝娇喘喷水9色精品| 99视频精品全部免费 在线| www日本黄色视频网| 97碰自拍视频| 久久久成人免费电影| 久久6这里有精品| aaaaa片日本免费| av黄色大香蕉| 国产精品亚洲美女久久久| 久久久久免费精品人妻一区二区| 亚洲av第一区精品v没综合| 久久久久久久精品吃奶| 久久久久久久午夜电影| 国产成人av教育| 国产探花在线观看一区二区| 中文亚洲av片在线观看爽| 国产精品av视频在线免费观看| 他把我摸到了高潮在线观看| 亚洲性夜色夜夜综合| 偷拍熟女少妇极品色| 高清毛片免费观看视频网站| 麻豆精品久久久久久蜜桃| 天堂影院成人在线观看| 色5月婷婷丁香| 精品一区二区三区人妻视频| 国内揄拍国产精品人妻在线| 日韩强制内射视频| 欧美xxxx黑人xx丫x性爽| 国产精华一区二区三区| 国产真实乱freesex| 亚洲av成人精品一区久久| 天堂av国产一区二区熟女人妻| 99热这里只有精品一区| 三级毛片av免费| 色视频www国产| 淫妇啪啪啪对白视频| 午夜精品一区二区三区免费看| 精品国内亚洲2022精品成人| 直男gayav资源| 国产探花极品一区二区| 国产一级毛片七仙女欲春2| 国内少妇人妻偷人精品xxx网站| 91av网一区二区| 五月玫瑰六月丁香| 91久久精品国产一区二区三区| 久久久久国内视频| 韩国av在线不卡| 精品久久久噜噜| 少妇熟女aⅴ在线视频| av在线蜜桃| 丰满乱子伦码专区| 欧美xxxx性猛交bbbb| 成人精品一区二区免费| 久久久久久九九精品二区国产| 天堂√8在线中文| 精品一区二区三区视频在线| 欧美一级a爱片免费观看看| 国产精品久久久久久久电影| 高清日韩中文字幕在线| 久久久国产成人精品二区| 国产精品久久电影中文字幕| 欧美日本视频| av在线观看视频网站免费| 我要搜黄色片| 国产亚洲欧美98| 99精品在免费线老司机午夜| 熟妇人妻久久中文字幕3abv| 老熟妇乱子伦视频在线观看| 99热这里只有是精品在线观看| 成人二区视频| 国产在视频线在精品| 少妇高潮的动态图| 18禁黄网站禁片免费观看直播| 国内精品美女久久久久久| 久久久久免费精品人妻一区二区| 国产精品1区2区在线观看.| av天堂在线播放| 丰满的人妻完整版| 久久久精品欧美日韩精品| 成人午夜高清在线视频| 99在线视频只有这里精品首页| 成年免费大片在线观看| 天堂网av新在线| 人妻制服诱惑在线中文字幕| 女同久久另类99精品国产91| av在线观看视频网站免费| avwww免费| 国产一区二区在线av高清观看| 欧美在线一区亚洲| 国产精品一区www在线观看 | 婷婷精品国产亚洲av| 国产精品一区二区性色av| 身体一侧抽搐| 亚洲精品成人久久久久久| 九色成人免费人妻av| 一区二区三区四区激情视频 | 久久香蕉精品热| 69人妻影院| 丰满的人妻完整版| 露出奶头的视频| 97热精品久久久久久| 国产在线精品亚洲第一网站| 在线观看av片永久免费下载| 黄色女人牲交| 欧美性猛交黑人性爽| 精品久久久久久久久av| 欧美性感艳星| 变态另类丝袜制服| 观看美女的网站| 在线免费十八禁| 日本三级黄在线观看| 欧美高清成人免费视频www| 色在线成人网| 91在线精品国自产拍蜜月| 国产精品,欧美在线| 国产精品久久视频播放| 又爽又黄无遮挡网站| 久久久精品大字幕| 久久精品国产亚洲av涩爱 | 桃红色精品国产亚洲av| 啦啦啦观看免费观看视频高清| 欧美一区二区精品小视频在线| 午夜亚洲福利在线播放| 美女高潮的动态| 亚洲无线观看免费| 嫩草影视91久久| 日韩欧美免费精品| 国产精品久久电影中文字幕| 老熟妇乱子伦视频在线观看| 草草在线视频免费看| 久久久久久久精品吃奶| 干丝袜人妻中文字幕| av在线亚洲专区| 国产av在哪里看| av在线天堂中文字幕| 99久国产av精品| netflix在线观看网站| 永久网站在线| 美女黄网站色视频| 亚洲国产色片| 中文字幕高清在线视频| 五月伊人婷婷丁香| 男插女下体视频免费在线播放| 99精品在免费线老司机午夜| 无遮挡黄片免费观看| 12—13女人毛片做爰片一| 国产精品久久久久久亚洲av鲁大| 国产精品一区二区三区四区免费观看 | 91精品国产九色| 天天一区二区日本电影三级| 一进一出抽搐gif免费好疼| 又黄又爽又免费观看的视频| 久久热精品热| 有码 亚洲区| 国产成人av教育| 少妇的逼水好多| 亚洲av中文av极速乱 | 特大巨黑吊av在线直播| 久久久久久久久中文| 成年女人看的毛片在线观看| 88av欧美| 国产淫片久久久久久久久| 久久国产精品人妻蜜桃| 亚洲中文字幕一区二区三区有码在线看| 亚洲熟妇中文字幕五十中出| 国产人妻一区二区三区在| 国产在线男女| 日日啪夜夜撸| 亚洲国产欧美人成| 日本欧美国产在线视频| 久久人妻av系列| 久久这里只有精品中国| 99热网站在线观看| 国产精品久久视频播放| 别揉我奶头 嗯啊视频| 成人国产综合亚洲| 欧美日韩精品成人综合77777| 九九热线精品视视频播放| 毛片女人毛片| 欧美国产日韩亚洲一区| 亚洲专区国产一区二区| 国产精品,欧美在线| 久久久色成人| a级一级毛片免费在线观看| 亚洲专区中文字幕在线| 国产精品女同一区二区软件 | av.在线天堂| 久久久久久国产a免费观看| xxxwww97欧美| 天天一区二区日本电影三级| 免费av毛片视频| 亚洲av熟女| 蜜桃久久精品国产亚洲av| 久久精品国产亚洲av涩爱 | 成人鲁丝片一二三区免费| 日韩欧美在线乱码| 人人妻,人人澡人人爽秒播| 一区二区三区四区激情视频 | 亚洲成人中文字幕在线播放| 亚洲性夜色夜夜综合| 一级av片app| 亚洲精品一卡2卡三卡4卡5卡| 一进一出好大好爽视频| 一本一本综合久久| 在线国产一区二区在线| 深夜a级毛片| 欧美成人a在线观看| 久久精品国产鲁丝片午夜精品 | 少妇猛男粗大的猛烈进出视频 | 亚洲成av人片在线播放无| 国产精品福利在线免费观看| 乱人视频在线观看| 99久国产av精品| 成人特级黄色片久久久久久久| 国产精品三级大全| 国内精品久久久久久久电影| 日本熟妇午夜| 草草在线视频免费看| 成年人黄色毛片网站| 久久久精品大字幕| 午夜影院日韩av| 久久午夜福利片| 在线播放国产精品三级| 免费看光身美女| 男人舔女人下体高潮全视频| 欧美在线一区亚洲| 亚洲人成网站在线播| 三级国产精品欧美在线观看| 观看美女的网站| 联通29元200g的流量卡| 久久亚洲精品不卡| 简卡轻食公司| 免费观看精品视频网站| 亚洲欧美日韩无卡精品| 一区二区三区四区激情视频 | 三级国产精品欧美在线观看| 我要看日韩黄色一级片| 女的被弄到高潮叫床怎么办 | 长腿黑丝高跟| 精品一区二区三区视频在线| 小蜜桃在线观看免费完整版高清| 男女下面进入的视频免费午夜| 亚洲精品国产成人久久av| 中文字幕免费在线视频6| 九九在线视频观看精品| 精品久久久久久久久av| 亚洲欧美激情综合另类| 看十八女毛片水多多多| 亚洲欧美日韩无卡精品| 国产伦人伦偷精品视频| 欧美另类亚洲清纯唯美| .国产精品久久| 99热只有精品国产| x7x7x7水蜜桃| 精品不卡国产一区二区三区| 欧美一区二区国产精品久久精品| 99热6这里只有精品| 91狼人影院| 午夜福利18| 女人十人毛片免费观看3o分钟| 久久精品国产亚洲av天美| 成年女人看的毛片在线观看| 久久久久久国产a免费观看| 三级毛片av免费| 精品福利观看| 欧美性猛交黑人性爽| 观看免费一级毛片| 亚洲成人中文字幕在线播放| 亚洲最大成人手机在线| 国产探花极品一区二区| 免费高清视频大片| 亚洲美女搞黄在线观看 | 日本三级黄在线观看| 我的老师免费观看完整版| 欧美成人a在线观看| 免费人成在线观看视频色| 久久这里只有精品中国| 成人鲁丝片一二三区免费| 一区二区三区激情视频| 制服丝袜大香蕉在线| 成年女人毛片免费观看观看9| 女同久久另类99精品国产91| 亚洲精品国产成人久久av| 尤物成人国产欧美一区二区三区| 久久久久久九九精品二区国产| 夜夜爽天天搞| 日日摸夜夜添夜夜添小说| 久久99热这里只有精品18| 两人在一起打扑克的视频| 黄色日韩在线| 亚洲国产欧美人成| 亚洲精品456在线播放app | 美女高潮喷水抽搐中文字幕| 一个人免费在线观看电影| 干丝袜人妻中文字幕| 尾随美女入室| 亚洲成人精品中文字幕电影| 少妇裸体淫交视频免费看高清| 久99久视频精品免费| 精品久久久久久久久久久久久| av天堂中文字幕网| 久久精品国产亚洲av香蕉五月| 亚洲精品久久国产高清桃花| 精品99又大又爽又粗少妇毛片 | 天美传媒精品一区二区| 国产又黄又爽又无遮挡在线| 搡老岳熟女国产| 简卡轻食公司| 伦理电影大哥的女人| 亚洲国产欧美人成| 最近最新中文字幕大全电影3| av国产免费在线观看| 国内精品久久久久久久电影| 亚洲人成网站在线播放欧美日韩| 岛国在线免费视频观看| 成人一区二区视频在线观看| 久久中文看片网| 最新在线观看一区二区三区| 欧美三级亚洲精品| 少妇裸体淫交视频免费看高清| 日日摸夜夜添夜夜添小说| 人人妻,人人澡人人爽秒播| 搡老妇女老女人老熟妇| 大又大粗又爽又黄少妇毛片口| 亚洲一级一片aⅴ在线观看| 桃色一区二区三区在线观看| 日本免费一区二区三区高清不卡| 日韩欧美精品免费久久| 一个人看视频在线观看www免费| 国产精品日韩av在线免费观看| 亚洲图色成人| 人人妻人人澡欧美一区二区| bbb黄色大片| 亚洲精华国产精华液的使用体验 | 尤物成人国产欧美一区二区三区| 人人妻,人人澡人人爽秒播| 性色avwww在线观看| 婷婷亚洲欧美| 国产精品爽爽va在线观看网站| 精品一区二区三区av网在线观看| 男女下面进入的视频免费午夜| 国产精华一区二区三区| 男人舔女人下体高潮全视频| 精品无人区乱码1区二区| 99久久久亚洲精品蜜臀av| a在线观看视频网站| 老熟妇乱子伦视频在线观看| 欧美一区二区亚洲| 亚洲av中文字字幕乱码综合| 亚洲av免费在线观看| 免费看日本二区| 午夜影院日韩av| 美女 人体艺术 gogo| 九九在线视频观看精品| 99国产精品一区二区蜜桃av| 亚洲,欧美,日韩| 女生性感内裤真人,穿戴方法视频| 欧美极品一区二区三区四区| 亚洲av中文av极速乱 | 在线播放国产精品三级| 搡老岳熟女国产| bbb黄色大片| 在线天堂最新版资源| 岛国在线免费视频观看| 久久久久久久久中文| 久久99热这里只有精品18| 国产精品美女特级片免费视频播放器| 免费无遮挡裸体视频| 听说在线观看完整版免费高清| 色尼玛亚洲综合影院| 国产三级在线视频| 成人av在线播放网站| 国产乱人伦免费视频| 天美传媒精品一区二区| 啦啦啦观看免费观看视频高清| 五月伊人婷婷丁香| 精品一区二区三区视频在线| 一级黄色大片毛片| 深爱激情五月婷婷| 啦啦啦观看免费观看视频高清| 国产精品国产三级国产av玫瑰| 国产精品久久电影中文字幕| 精华霜和精华液先用哪个| 很黄的视频免费| 91麻豆av在线| 日本与韩国留学比较| 美女cb高潮喷水在线观看| 一个人看的www免费观看视频| 18禁在线播放成人免费| 成人欧美大片| 精品午夜福利在线看| 九色国产91popny在线| 日日撸夜夜添| 又黄又爽又刺激的免费视频.| 村上凉子中文字幕在线| 国产精品美女特级片免费视频播放器| 成人特级黄色片久久久久久久| 日韩av在线大香蕉| 国产精品99久久久久久久久| 成人特级av手机在线观看| 国产在线精品亚洲第一网站| 男女做爰动态图高潮gif福利片| 亚洲一区高清亚洲精品| 99久久久亚洲精品蜜臀av| 最后的刺客免费高清国语| 黄色配什么色好看| 亚洲七黄色美女视频| 白带黄色成豆腐渣| а√天堂www在线а√下载| 欧美绝顶高潮抽搐喷水| 欧美日韩中文字幕国产精品一区二区三区| 男女那种视频在线观看| 国产蜜桃级精品一区二区三区| 精品午夜福利视频在线观看一区| 搡老岳熟女国产| 在线免费观看不下载黄p国产 | 88av欧美| 国产综合懂色| 99热网站在线观看| 人妻久久中文字幕网| 亚洲成人精品中文字幕电影| 国产成人aa在线观看| 身体一侧抽搐| 日本一二三区视频观看| 亚洲专区国产一区二区| 免费人成视频x8x8入口观看| 搞女人的毛片| 日韩强制内射视频| 国产精品野战在线观看| 在线免费观看的www视频| 97碰自拍视频| 麻豆av噜噜一区二区三区| 男人舔女人下体高潮全视频| 十八禁国产超污无遮挡网站| 亚洲熟妇熟女久久| 国产精品人妻久久久久久| 男女之事视频高清在线观看| 国产白丝娇喘喷水9色精品| www.www免费av| 精品一区二区三区人妻视频| 一级黄片播放器| 精品久久久久久,| 亚洲avbb在线观看| 久久中文看片网| 真人做人爱边吃奶动态| 偷拍熟女少妇极品色| 日本熟妇午夜| videossex国产| 在线a可以看的网站| 精品久久久久久久末码| 国产黄片美女视频| а√天堂www在线а√下载| 国产成人一区二区在线| 久久久精品欧美日韩精品| 国产精品野战在线观看| 亚洲无线在线观看| 国产在线男女| 免费高清视频大片| 国产精品电影一区二区三区| 国产精品一区二区三区四区久久| 大又大粗又爽又黄少妇毛片口| 中文字幕熟女人妻在线| 黄色配什么色好看| 亚洲欧美清纯卡通| 999久久久精品免费观看国产| 男人的好看免费观看在线视频| 国产高清不卡午夜福利| 一边摸一边抽搐一进一小说| 日韩中文字幕欧美一区二区| 一边摸一边抽搐一进一小说| 国产高清不卡午夜福利| 国产精华一区二区三区| 12—13女人毛片做爰片一| 1024手机看黄色片| 啦啦啦韩国在线观看视频| 色哟哟·www| 国产精品一区二区免费欧美| 亚洲熟妇中文字幕五十中出| 国产av麻豆久久久久久久| АⅤ资源中文在线天堂| 国产欧美日韩精品一区二区| 十八禁网站免费在线| av专区在线播放| 欧美一区二区亚洲| 亚洲,欧美,日韩| 丝袜美腿在线中文| 91在线观看av| 淫秽高清视频在线观看| 天天一区二区日本电影三级| 亚洲aⅴ乱码一区二区在线播放| 99久久九九国产精品国产免费| 亚洲精品影视一区二区三区av| 日本成人三级电影网站| 禁无遮挡网站| 999久久久精品免费观看国产|