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Dynamics and modeling of nonlinear forced convective flow of Carreau-fluid (non-Newtonian fluid) with Marangoni convection
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ( IF 2 ) Pub Date : 2021-01-17 , DOI: 10.1177/0954406220987265
M Ijaz Khan 1 , Yu-Ming Chu 2, 3 , Sumaira Qayyum 4 , Shahid Farooq 1 , A Aldabesh 5
Affiliation  

This paper deals with Marangoni convective flow of Carreau fluid. Boundary condition for momentum equation is considered to be Marangoni type. Thermal energy produces when current passes through the electrical conductor and this process is called Joule heating. Viscous dissipation is also applied in thermal equation. Nonlinear mixed convection for temperature is considered. Governing equations of PDE's are converted to ODE's by implementation of transformation. ND-Solve MATHEMATICA method is used to solve the equations. Parameters result against temperature, velocity, entropy rate, Bejan number, Skin friction and Nusselt number is examined via graphs. Due to increase in fluid parameter velocity of the fluid reduces while increasing impact is seen for temperature. Temperature is increasing function of Eckert number. Entropy generation also shows rising impact via fluid parameter while Bejan number decays. Drag force of surface decays via fluid parameter. Nusselt number is in direct relation with Prandtl and Eckert number.



中文翻译:

具有Marangoni对流的Carreau流体(非牛顿流体)的非线性强迫对流的动力学和建模

本文讨论了Carreau流体的Marangoni对流。动量方程的边界条件被认为是Marangoni型。当电流通过电导体时会产生热能,这一过程称为焦耳加热。粘性耗散也适用于热方程。考虑温度的非线性混合对流。通过实施转换,将PDE的控制方程式转换为ODE。ND-Solve MATHEMATICA方法用于求解方程。通过图表检查针对温度,速度,熵率,Bejan数,皮肤摩擦和Nusselt数的参数结果。由于流体参数的增加,流体的速度降低,而温度的影响增加。温度是埃克特数的增加函数。熵的生成还显示出随着流体参数的增加而上升的影响,而贝詹数则衰减。表面阻力通过流体参数衰减。Nusselt数与Prandtl和Eckert数直接相关。

更新日期:2021-01-18
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