Numerical Solution for Plane Stagnation Point Flow

Stanley A. Omenai
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Abstract

The plane stagnation point flow, where a fluid stream impinges perpendicularly on a flat surface, is a classic problem in fluid dynamics with significant theoretical and practical implications. This report presents a comprehensive numerical solution to the plane stagnation point flow using the fourth order Runge-Kutta approximation. The numerical approach is developed to solve the governing Hiemenz Flow equation. Key flow characteristics, including velocity, are analyzed, offering insights into the fluid behavior near the stagnation point.
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平面停滞点流动的数值解法
平面停滞点流是流体流垂直冲击平面的现象,是流体力学中的一个经典问题,具有重要的理论和实践意义。本报告介绍了利用四阶 Runge-Kutta 近似对平面停滞点流动的全面数值求解。所开发的数值方法用于求解 Hiemenz 流动方程。报告分析了包括速度在内的主要流动特征,为停滞点附近的流体行为提供了深入见解。
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