微极流体蠕动泵经由滑移边界管道输送的Stokes流动

Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition

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.

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 pumping characteristic,friction force and trapping phenomena were depicted graphically.Numerical computation infers that more pressure requires for peristaltic pumping when coupling number is large while opposite behavior is found for micro-polar parameter and the slip parameter.The size of trapped bolus reduces with coupling number and micro-polar parameter whereas it blows up with slip parameter.