粘性耗散和热源对含尘流体在不稳定伸展面上流动及其传热的影响  

Effect of Viscous Dissipation and Heat Source on Flow and Heat Transfer of a Dusty Fluid Over an Unsteady Stretching Sheet

作　　者：B·J·吉瑞斯哈 G·S·鲁帕 C·S·巴格瓦蒂 张晓庆(译) 张禄坤(校) 

机构地区：[1]库维浦大学数学系,印度卡纳塔克邦希莫加 [2]不详

出　　处：《应用数学和力学》2012年第8期943-956,共14页Applied Mathematics and Mechanics

基　　金：新德里科技部主要研究课题资助项目(SR/S4/MS:470/07,25-08-2008)

摘　　要：研究含尘流体在不稳定伸展面上,作水动力学边界层流动及其热交换问题.研究中计及摩擦生热(粘性耗散)和内部发热或吸热的影响.应用适当的相似变换,将控制流动和热交换的基本方程组,变成一组非线性的常微分方程.利用Runge-Kutta-Fehlberg-45格式对变换后的方程进行数值求解.按发热进程分两种不同情况分析:VWT(变壁面温度)和VHF(变热通量).物理参数,如像磁场参数、流(体)-固(体微粒)的相互作用参数、不稳定参数、Prandtl数、Eckert数、含尘微粒的数量密度以及热源/汇参数,分别绘出这些物理参数变化时的速度和温度分布曲线;同时,列表和讨论了对壁面温度梯度函数和壁面温度函数的影响.The problem of hydrodynamic boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface was investigated. The study considered the effects of frictional heating （viscous dissipation） and internal heat generation or absorption. The basic equations governing the flow and heat transfer were reduced to a set of non-linear ordinary differen- tial equations by applying suitable similarity transformations. The transformed equations were solved numerically by Runge-Kutta-Fehlberg-45 order method. An analysis was carried out for two different cases of heating processes, namely Variable Wall Temperature （VWT） and Variable Heat Flux （VHF）. The effects of various physical parameters such as magnetic parameter, fluid-particle interaction parameter, unsteady parameter, Prandtl number, Eckert number, number density of dust particles and heat source/sink parameter on velocity and temperature profiles were shown in several plots and the effect of wall temperature gradient function and wall temperature function were tabulated and discussed.

关 键 词：热交换 边界层流动 伸缩界面 含尘流体 粘性耗散 不均匀热源 数值解 

分 类 号：O359.1[理学—流体力学] O414.1[理学—力学]