This study investigates the steady stagnation point flow and heat transfer passes a horizontal shrinking permeable cylinder. The free stream velocity and the prescribed surface heat flux are assumed to vary linearly with the distance from a fixed point on the cylinder. The partial differential equations governing the flow and heat transfer are transformed into a system of ordinary differential equations via similarity transformation. These equations are solved numerically for several values of the governing parameters, such as suction parameter s, curvature parameter γ, and shrinking parameter λ. The equations are solved numerically by employing the boundary value problem solver package available in MATLAB software, bvp4c. The effects of the governing parameters on the skin friction coefficient, surface temperature, velocity, and temperature profiles are examined. Given the existence of dual solutions in the present study for a certain range of the curvature parameter, stability analysis is carried out to determine which one of the solutions is stable as time passes. The outcome of the stability analysis demonstrates that only the first solution, with lower boundary layer thickness, appeared to be stable and thus physically reliable, while the other is not. It is also discovered that the boundary layer separation is delayed by reducing the curvature parameter.

这项研究调查了稳态停滞点的流动和热传递通过水平收缩的可渗透圆柱体。假定自由流速度和规定的表面热通量随着距汽缸上固定点的距离线性变化。通过相似变换将控制流动和传热的偏微分方程转换为常微分方程组。这些方程通过数值求解了控制参数的多个值，例如吸力参数s，曲率参数γ和收缩参数λ。通过使用MATLAB软件bvp4c中提供的边界值问题求解程序包，可以对方程进行数值求解。检查了控制参数对皮肤摩擦系数，表面温度，速度和温度曲线的影响。给定当前研究中对于曲率参数的某个范围存在对偶解，将进行稳定性分析以确定随着时间的流逝，哪个解是稳定的。稳定性分析的结果表明，只有第一个具有较低边界层厚度的解决方案似乎是稳定的，因此在物理上是可靠的，而其他解决方案则不是。还发现通过减小曲率参数来延迟边界层分离。