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首页> 外文期刊>Applied Mechanics and Engineering >STEADY AND UNSTEADY BOUNDARY LAYERS DUE TO A STRETCHING VERTICAL SHEET IN A POROUS MEDIUM USING DARCY-BRINKMAN EQUATION MODEL
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STEADY AND UNSTEADY BOUNDARY LAYERS DUE TO A STRETCHING VERTICAL SHEET IN A POROUS MEDIUM USING DARCY-BRINKMAN EQUATION MODEL

机译：使用达西-布林克曼方程模型在多孔介质中拉伸垂直板而产生的稳态和非稳态边界层

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摘要

The present paper deals with the analysis of a steady and unsteady boundary layer flow and heat transfer past a vertical stretching sheet in a viscous fluid-saturated porous medium by using the Darcy-Brinkman equation model. It is assumed that unsteadiness is caused by the impulsive stretching of the sheet and by a sudden increase in the surface temperature. The problem is reduced to parabolic partial differential equations, which are solved numerically using the Keller-box method. The small time (initial unsteady flow) as well as the large time (final steady-state flow) solutions are also included in the analysis. It is shown that there is a smooth transition from the small time solution to large time solution, respectively.
机译：本文利用达西-布林克曼方程模型，对粘性流体饱和多孔介质中垂直拉伸片材的稳态和非稳态边界层流动和传热进行了分析。假定不稳定是由于薄片的脉冲拉伸和表面温度的突然升高引起的。该问题简化为抛物型偏微分方程，使用Keller-box方法对其进行数值求解。分析中还包括小时间（初始非稳态流动）和大时间（最终稳态流动）解决方案。结果表明，从小时间解到大时间解分别存在平稳过渡。

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