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首页> 外文期刊>Applied Mechanics and Engineering >FLOW AND HEAT TRANSFER AT A NONLINEARLY SHRINKING POROUS SHEET:THE CASE OF ASYMPTOTICALLY LARGE POWER- LAW SHRINKING RATES
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FLOW AND HEAT TRANSFER AT A NONLINEARLY SHRINKING POROUS SHEET:THE CASE OF ASYMPTOTICALLY LARGE POWER- LAW SHRINKING RATES

机译：非线性收缩多孔板的流动和传热：渐近大幂律收缩率的情形

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摘要

The boundary layer flow and heat transfer of a viscous fluid over a nonlinear permeable shrinking sheet in a thermally stratified environment is considered. The sheet is assumed to shrink in its own plane with an arbitrary power-law velocity proportional to the distance from the stagnation point. The governing differential equations are first transformed into ordinary differential equations by introducing a new similarity transformation. This is different from the transform commonly used in the literature in that it permits numerical solutions even for asymptotically large values of the power-law index, m. The coupled non-linear boundary value problem is solved numerically by an implicit finite difference scheme known as the Keller- Box method. Numerical computations are performed for a wide variety of power-law parameters (1
机译：考虑了热分层环境中粘性流体在非线性可渗透收缩片上的边界层流动和热传递。假定薄片在其自己的平面中以与距停滞点的距离成比例的任意幂律速度收缩。首先通过引入新的相似度变换将控制微分方程转换为常微分方程。这与文献中通常使用的变换的不同之处在于，即使对于幂律指数m的渐近大值，它也允许数值解。耦合的非线性边值问题通过一种称为Keller-Box方法的隐式有限差分方案用数值方法求解。对各种各样的幂律参数（1

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