Abstract
This paper concerns the stagnation point flow and heat transfer of a viscous and incompressible fluid passing through a flat Riga plate with the effects of velocity slip and radiation. An appropriate similarity transformation is chosen to reduce the governing partial differential equations to a system of ordinary differential equations. The numerical results are verified by comparison with existing results from the literature for a special case of the present study. The computed results are analyzed and given in the form of tables and graphs. The behaviors of the skin friction coefficient and the heat transfer rate for various physical parameters are analyzed and discussed. Dual solutions exist for both stretching and shrinking cases. Stability analysis reveals that the solution with lower boundary layer thickness is stable while the other solution is unstable. It is also observed that for the stable solution, the skin friction coefficient and the local Nusselt number increase as the suction effect is increased. For the shrinking case, a solution exists only for a certain range of the shrinking strength and this range increases with increasing value of the suction effect.
摘要
目的
1. 通过分析Riga 板的抽吸效应来控制流体运动和减少摩擦力和压力阻力;2. 利用磁场的速度滑移效应来控制流体的流速;3. 基于辐射原理控制热传导并减小阻力。
创新点
1. 本研究可应用于核电厂、飞机、潜艇以及卫星等设施中推进装置的设计;2. 本研究可用于防止边界层分离以减少湍流的产生。
方法
1. 构建基于偏微分方程的数理模型;2. 利用相似变换法将偏微分方程简化为常微分方程;3. 利用Matlab 内置求解器bvp4c 对常微分方程组进行数值求解;4. 基于求解结果讨论稳定性。
结论
1. 对于拉伸/收缩两种情形的Riga 板问题都存在对偶解;2. 数值求解结果显示表面摩擦系数和表面传热率均会随着吸力的增大而增大,而随拉伸/收缩参数λ的增大而减小;3. 上支解的努塞尔数增大而下支解减小;4. 辐射会提高边界层内的温度,而增强滑移效应则会提高流速同时降低边界层温度;5. 只有上支解是长期稳定的。
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Project supported by the Ministry of Education, Malaysia and the Universiti Kebangsaan Malaysia
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Nasir, N.A.A.M., Ishak, A. & Pop, I. Stagnation point flow and heat transfer past a permeable stretching/shrinking Riga plate with velocity slip and radiation effects. J. Zhejiang Univ. Sci. A 20, 290–299 (2019). https://doi.org/10.1631/jzus.A1800029
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DOI: https://doi.org/10.1631/jzus.A1800029