MHD Flow and Heat Transfer of a Generalized Burgers' Fluid due to a Periodic Oscillating and Periodic Heating Plate  

作　　者：白羽 姜月华 张艳 赵豪杰 

机构地区：[1]School of Science, Beijing University of Civil Engineering and Architecture [2]Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing University of Civil Engineering and Architecture

出　　处：《Communications in Theoretical Physics》2017年第10期518-524,共7页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundations of China under Grant Nos.21576023,51406008;the National Key Research Program of China under Grant Nos.2016YFC0700601,2016YFC0700603;the BUCEA Post Graduate Innovation Project(PG2017032)

摘　　要：This paper investigates the MHD flow and heat transfer of the incompressible generalized Burgers＇ fluid due to a periodic oscillating plate with the effects of the second order slip and periodic heating plate. The momentum equation is formulated with multi-term fractional derivatives, and by means of viscous dissipation, the fractional derivative is considered in the energy equation. A finite difference scheme is established based on the Gl-algorithm, whose convergence is confirmed by the comparison with the analytical solution in an example. Meanwhile the numerical solutions of velocity, temperature and shear stress are obtained. The effects of involved parameters on velocity and temperature fields are presented graphically and analyzed in detail. Increasing the fractional derivative parameter a, the velocity and temperature have a decreasing trend, while the influences of fractional derivative parameter ,8 on the velocity and temperature behave conversely. Increasing the absolute value of the first order slip parameter and the second order slip parameter both cause a decrease of velocity. Furthermore, with the decreasing of the magnetic parameter, the shear stress decreases.

关 键 词：MHD flow generalized Burgers＇ fluid periodic oscillating and heating fractional finite differencescheme 

分 类 号：O373[理学—流体力学]