Mixed convection flow in vertical channel with boundary conditions of third kind in presence of heat source/sink

作     者：J.C.UMAVATHI J.PRATHAP KUMAR JAWERIYA SULTANA 

作者机构：Department of MathematicsGulbarga UniversityGulbarga 585106KarnatakaIndia 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2012年第33卷第8期

页      面：1015-1034页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：University Grant Commission in New Delhi for the financial support under UGC-Major Research Project and Maulana Azad National Fellowship for Minority Students 

主　　题：mixed convection viscous fluid perturbation method Runge-Kuttashooting method heat source/sink 

摘      要：The effects of viscous dissipation and heat source/sink on fully developed mixed convection for the laminar flow in a parallel-plate vertical channel are investigated. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperatures of the external fluid are considered. First, the simple cases of the negligible Brinkman number or the negligible Grashof number are solved analytically. Then, the combined effects of buoyancy forces and viscous dissipation in the presence of heat source/sink are analyzed by a perturbation series method valid for small values of the perturbation parameter. To relax the conditions on the perturbation parameter, the velocity and temperature fields are solved by using the Runge-Kutta fourth-order method with the shooting technique. The velocity, temperature, skin friction, and Nusselt num- bers at the plates are discussed numerically and presented through graphs.