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| 微极流体蠕动泵经由滑移边界管道输送的Stokes流动 | |
| 引用本文： | D·特里帕蒂,M·K·乔伯,P·K·古泊塔,吴承平.微极流体蠕动泵经由滑移边界管道输送的Stokes流动[J].应用数学和力学,2011,32(12). |
| 作者姓名： | D·特里帕蒂 M·K·乔伯 P·K·古泊塔 吴承平 |
| 作者单位： | 1. 印度博拉理工学院海德拉巴校园数学系,海德拉巴500078,印度 2. 清莱库莫戈埃尔技术学院数学系,加济阿巴德201001,印度 3. 瓦拉纳西印度教大学应用数学系,瓦拉纳西221005,印度 |
| 摘 要： | 计及管道边界条件滑移的影响,研究微极流体蠕动泵,经由圆柱形管道输运的Stokes流动.壁面运动的控制方程为正弦波方程.使用润滑理论,得到了轴向速度、微转动向量、流函数、压力梯度、摩擦力和机械效率的解析数值解.用图形表示出构成参数,如像耦合参数、微极参数和表征蠕流泵特性的滑移参数、摩擦力和俘获现象的影响.数值计算表明,当耦合参数较大时,需要蠕动泵的压力更大,而微极参数和滑移参数正相反.俘获团块的大小随耦合参数和微极参数的减小而缩小,而随滑移参数的增大而缩小. |
| 关 键 词： | Stokes流动 微极流体 滑移边界条件 蠕动泵 机械效率 俘获 |
Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition |
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| Dharmendra Tripathi,M.K.Chaube,P.K.Gupta.Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition[J].Applied Mathematics and Mechanics,2011,32(12). | |
| Authors: | Dharmendra Tripathi MKChaube PKGupta |
| Institution: | Dharmendra Tripathi1,M.K.Chaube2,P.K.Gupta3(1.Department of Mathematics,BITS-Pilani,Hyderabad Campus,Hyderabad-500078,India,2.Department of Mathematics,RKGIT,Ghaziabad-201001,3.Department of Applied Mathematics,IT-BHU,Varanasi-221005,India) |
| Abstract: | The Stokes flow of micro-polar fluids by peristaltic pumping through the cylindrical tube under the effect of slip boundary condition was studied.The motion of wall was governed by the sinusoidal wave equation.Analytical and numerical solutions for axial velocity,micro-polar vector,stream function,pressure gradient,friction force and mechanical efficiency were obtained by using the lubrication theory.The impacts of emerging parameters such as coupling number,micro-polar parameter and slip parameter on pumpi... |
| Keywords: | Stokes flow micro-polar fluid slip boundary condition peristaltic pumping mechanical efficiency trapping |
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