污染非等温变黏度多孔介质流动的有限差分研究

C. Nwaigwe, O. Makinde
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引用次数: 2

摘要

我们将先前的通道流动研究扩展到具有传热传质联合效应的多孔介质流动。我们考虑在非定常和压力驱动的非等温Brinkman流中温度依赖的粘度流体和浓度依赖的扩散系数。这就引出了速度、浓度和温度的控制方程。通过滞后非线性系数,在时间上得到收敛的有限差分格式。采用制造解的方法验证了该方案的收敛性和二阶空间精度。数值研究了流动参数对流场的影响。结果表明,达西数和温度参数的增大均使流速增大,而污染物扩散参数的增大则使污染物浓度减小。
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Finite Difference Investigation of a Polluted Non-Isothermal Variable-Viscosity Porous Media Flow
We extend previous studies of channel flows to porous media flows with combined effects ofboth heat and mass transfer. We consider a temperaturedependent viscosity fluid and a concentrationdependent diffusivity in an unsteady and pressuredriven nonisothermal Brinkman flow. This leads to the governing equations for velocity, concentration and temperature. By lagging nonlinear coefficients, in time, a convergent finite difference scheme is formulated. We adopt the method of manufactured solutions to verify the convergence and second order spatial accuracy of the scheme. The impact of the flow parameters on the flow fields are numerically investigated. The results show that increase in the Darcy number and temperature parameter both increase the velocity while the increase in the pollutant diffusion parameter decreases the pollutant concentration.
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