PARTICULATE SUSPENSION FLOW INDUCED BY SINUSOIDAL PERISTALTIC WAVES THROUGH ECCENTRIC CYLINDERS： THREAD ANNULAR  

作　　者：KH. S. MEKHEIMER Y. ABD ELMABOUD A. I. ABDELLATEEF 

机构地区：[1]Mathematics Department, Faculty of Science Al-Azhar University Nasr City 11448, Cairo, Egypt [2]Mathematics Department, Faculty of Science Tail University Hawia (888) Tail, Saudi Arabia [3]Mathematics Department, Faculty of Science and Arts Khulais, King Abdulaziz University (KAU) Saudi Arabia [4]Mathematics Department, Faculty of Science Al-Azhar University (Assiut Branch) Assiut, Egypt [5]Basic Science Department, Higher Institute of Engineering Shorouk City, Cairo, Egypt

出　　处：《International Journal of Biomathematics》2013年第4期113-137,共25页生物数学学报（英文版）

摘　　要：This paper describes a new model for obtaining analytical solutions of peristaltic flow through eccentric annuli. A mathematical model of peristaltic pumping of a fluid mixture （as blood model） in a circular eccentric cylinders is presented and it is motivated due to the fact that thread injection is a promising method for placing medical implants within the human body with minimum surgical trauma. For the eccentric annuli, the inner cylinder is rigid and moving with a constant velocity V, and the outer one is hollow flexible cylinder that has a sinusoidal wave traveling down its wall. The coupled differential equations for both the fluid and the particle phases have been solved by using two methods and the expressions for the velocity distribution of fluid and particle phase, flow rate, pressure drop, friction forces at the inner and outer cylinders have been derived. The results obtained are discussed in brief. The significance of the particle concentration and the eccentricity parameter as well as the nature of the basic flow has been well explained.

关 键 词：ECCENTRIC annulus flows particle fluid suspension PERISTALSIS ENDOSCOPE 

分 类 号：O373[理学—流体力学] TQ460.5[理学—力学]