Journal of Zhejiang University-SCIENCE A

, Volume 20, Issue 4, pp 290–299 | Cite as

Stagnation point flow and heat transfer past a permeable stretching/shrinking Riga plate with velocity slip and radiation effects

  • Nor Ain Azeany Mohd Nasir
  • Anuar Ishak
  • Ioan PopEmail author


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.

Key words

Riga plate Stagnation-point flow Heat transfer Shrinking sheet Dual solutions 

通过具有速度滑移和辐射效应的可渗透拉伸/收缩Riga 板的驻点流动和热传导



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。


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。


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。


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。


Riga 板 驻点流动 热传导 收缩薄片 对偶解 

CLC number



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Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Centre for Defence Foundation StudiesUniversiti Pertahanan Nasional MalaysiaKuala LumpurMalaysia
  2. 2.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaBangiMalaysia
  3. 3.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

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