Similarity solutions for non-Newtonian power-law fluid flow |
| |
Authors: | D M Wei S Al-Ashhab |
| |
Institution: | 1. Department of Mathematics, University of New Orleans, LA 70148, U. S.A.;
2. Department of Mathematics, Al Imam Mohammad Ibn Saud Islamic University, Riyadh 11623, Saudi Arabia |
| |
Abstract: | The problem of the boundary layer flow of power law non-Newtonian fluids with a novel boundary condition is studied. The existence and uniqueness of the solutions are examined, which are found to depend on the curvature of the solutions for different values of the power law index n. It is established with the aid of the Picard-Lindelöf theorem that the nonlinear boundary value problem has a unique solution in the global domain for all values of the power law index n but with certain conditions on the curvature of the solutions. This is done after a suitable transformation of the dependent and independent variables. For 0 < n 1, the solution has a positive curvature, while for n > 1, the solution has a negative or zero curvature on some part of the global domain. Some solutions are presented graphically to illustrate the results and the behaviors of the solutions. |
| |
Keywords: | existence uniqueness power law fluid boundary layer flow non-linear boundary value problem |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |