应用数学和力学2012，Vol.33Issue(6)：678-691,14.DOI:10.3879/j.issn.1000-0887.2012.06.004
Maxwell流体在震荡的矩形输送管道中的流动
Flow on Oscillating Rectangular Duct for Maxwell Fluid
摘要
Abstract
An analysis for the unsteady flow of an incompressible Maxwell fluid in an oscillating rectangular cross section was presented.Using the Fourier and Laplace transforms as mathematical tool,the solutions were presented as sum of steady-state and transient solutions.For large times,when the transients disappear,the solution was represented by the steady-state solution.Solutions for Newtonian fluids appear as limiting cases of the solutions obtained here.In the absence of frequency of oscillation,the problem for flow of Maxwell fluid in a duct of rectangular cross-section moving parallel to its length was obtained.Finally,the required time to reach the steady-state for sine oscillations of the rectangular duct is obtained by graphical illustrations for different parameters.Moreover,the graphs are sketched for velocity for the variations of x and y.关键词
Maxwell流体/震荡的矩形输送管道/速度场Key words
Maxwell fluid/oscillating rectangular duct/velocity field分类
数理科学引用本文复制引用
M·娜扎,F·沙希德,M·S·阿克拉姆,Q·苏丹,黄锋..Maxwell流体在震荡的矩形输送管道中的流动[J].应用数学和力学,2012,33(6):678-691,14.基金项目
巴基斯坦高等教育委员会资助项目:"比率型流体在振荡矩形输送管道中的流动" （）
