Three-dimensional mixed convection flow with variable thermal conductivity and frictional heating  

作　　者：M Qasim N Riaz Dianchen Lu S Shafie 

机构地区：[1]Department of Mathematics,Faculty of Science,Jiangsu University,Zhenjiang 212013,China [2]Department of Mathematics,COMSATS University Islamabad(CUI),455000,Park Road,Tarlai Kalan,Islamabad.Pakistan [3]Department of Mathematical Sciences,Faculty of Science,Universiti Teknologi Malaysia,81310 UTM Johor Bahru,Johor 81310,Malaysia

出　　处：《Communications in Theoretical Physics》2020年第3期14-20,共7页理论物理通讯（英文版）

摘　　要：In this article,three-dimensional mixed convection flow over an exponentially stretching sheet is investigated.Energy equation is modelled in the presence of viscous dissipation and variable thermal conductivity.Temperature of the sheet is varying exponentially and is chosen in a form that facilitates the similarity transformations to obtain self-similar equations.Resulting nonlinear ordinary differential equations are solved numerically employing the Runge-Kutta shooting method.In order to check the accuracy of the method,these equations are also solved using bvp4c built-in routine in Matlab.Both solutions are in excellent agreement.The effects of physical parameters on the dimensionless velocity field and temperature are demonstrated through various graphs.The novelty of this analysis is the self-similar solution of the threedimensional boundary layer flow in the presence of mixed convection,viscous dissipation and variable thermal conductivity.In this article,three-dimensional mixed convection flow over an exponentially stretching sheet is investigated.Energy equation is modelled in the presence of viscous dissipation and variable thermal conductivity.Temperature of the sheet is varying exponentially and is chosen in a form that facilitates the similarity transformations to obtain self-similar equations.Resulting nonlinear ordinary differential equations are solved numerically employing the Runge-Kutta shooting method.In order to check the accuracy of the method,these equations are also solved using bvp4c built-in routine in Matlab.Both solutions are in excellent agreement.The effects of physical parameters on the dimensionless velocity field and temperature are demonstrated through various graphs.The novelty of this analysis is the self-similar solution of the threedimensional boundary layer flow in the presence of mixed convection,viscous dissipation and variable thermal conductivity.

关 键 词：SELF-SIMILAR equations VISCOUS DISSIPATION MIXED CONVECTION variable thermal conductivity SHOOTING technique bvp4c Matlab 

分 类 号：O551.3[理学—热学与物质分子运动论]