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Generalized Fourier’s Law and Darcy–Forchheimer Forced/Mixed Convective Flow Towards a Riga Plate with Second-Order Velocity Slip: A Numerical Study
International Journal of Computational Methods ( IF 1.4 ) Pub Date : 2020-11-02 , DOI: 10.1142/s0219876220420025
Yu-Ming Chu 1, 2 , M. Ijaz Khan 3 , Sumaira Qayym 4 , Seifedine Kadry 5 , Waqar A. Khan 6
Affiliation  

A numerical study is developed to examine the behavior of the forced/free convective flow towards a stretchable Riga plate with generalized Fourier’s law. The flow is saturated through Darcy–Forchheimer porous space and generated due to linear and second-order velocity slip phenomena. Here, the main consideration is given to the energy equation which is modeled in the presence of generalized Fourier’s law and heat generation absorption. Stagnation point is also discussed. Appropriate similarity variables lead to ordinary differential equations. The dimensionless coupled equations i.e., momentum and energy are numerically solved by the Built-in-Shooting method. The obtained results divulge that the velocity field declines versus rising values of Darcy–Forchheimer number. The temperature field of the working fluid boosts versus higher estimation of Eckert number and heat generation/absorption parameter. The important factors i.e., skin friction coefficient and temperature gradient of this research work are calculated by graphically subject to mixed convection parameter, modified Hartmann number, Prandtl number and heat generation parameter. It is observed from the graphical results that the impact of skin friction is more between the stretched Riga surface and fluid particles in the presence of rising values of mixed convection parameter.

中文翻译:

广义傅里叶定律和达西-福希默强迫/混合对流流向具有二阶速度滑移的里加板块:数值研究

开发了一项数值研究来检查强制/自由对流流向具有广义傅里叶定律的可拉伸里加板的行为。流动通过 Darcy-Forchheimer 多孔空间饱和,并由于线性和二阶速度滑移现象而产生。在这里,主要考虑的是能量方程,该方程是在广义傅里叶定律和热量吸收的存在下建模的。还讨论了停滞点。适当的相似性变量导致常微分方程。无量纲耦合方程即动量和能量通过内置射击方法进行数值求解。获得的结果表明,速度场随着达西-福希默数的上升而下降。工作流体的温度场随着对埃克特数和热产生/吸收参数的更高估计而升高。本研究工作的重要因素,即皮肤摩擦系数和温度梯度,通过图形化计算得到混合对流参数、修正的哈特曼数、普朗特数和发热参数。从图形结果中可以看出,在混合对流参数值升高的情况下,皮肤摩擦的影响更多地出现在拉伸的里加表面和流体颗粒之间。普朗特数和发热参数。从图形结果中可以看出,在混合对流参数值升高的情况下,皮肤摩擦的影响更多地出现在拉伸的里加表面和流体颗粒之间。普朗特数和发热参数。从图形结果中可以看出,在混合对流参数值升高的情况下,皮肤摩擦的影响更多地出现在拉伸的里加表面和流体颗粒之间。
更新日期:2020-11-02
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