摘要
在有一级化学反应时,研究不可压缩的粘弹性流体,在竖直多孔连续运动平板上的不稳定自然对流.控制方程用隐式有限差分法进行数值求解.与解析解的结果比较,证明所选用的数值方法有效.详细图示了速度分布的数值结果.研究了粘弹性参数、无量纲化学反应参数和平板运动速度,对稳定的速度分布、与时间相关的摩擦因数、Nusselt数和Sherwood数的影响.
An analysis was developed in order to study the unsteady free convection flow of an incompressible,visco-elastic fluid on a continuously moving vertical porous plate in the presence of a first-order chemical reaction. The governing equations were solved numerically using an implicit finite difference technique. The selected numerical method was validated by comparing the results with the analytical solutions. Numerical results for the details of the velocity profiles which were shown on graphs were presented. A parametric study was performed to illustrate the influence of the visco-elastic parameter,dimensionless chemical reaction parameter and plate moving velocity on the steady state velocity profiles,the time dependent friction coefficient,Nusselt number and Sherwood number.
出处
《应用数学和力学》
CSCD
北大核心
2010年第8期909-916,共8页
Applied Mathematics and Mechanics
关键词
粘弹性
多孔平板
化学反应
自然对流
visco-elastic
porous plate
chemical reaction
free convection