Sadiq Muhammad Adil, Hayat Tasawar
Department of Mathematics, DCC-KFUPM Box 5084, Dhahran 31261, Saudi Arabia.
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan.
Entropy (Basel). 2020 Apr 10;22(4):433. doi: 10.3390/e22040433.
The Marangoni forced convective inclined magnetohydrodynamic flow is examined. Marangoni forced convection depends on the differences in surface pressure computed by magnetic field, temperature, and concentration gradient. Casson nanoliquid flow by an infinite disk is considered. Viscous dissipation, heat flux, and Joule heating are addressed in energy expressions. Thermophoresis and Brownian motion are also examined. Entropy generation is computed. The physical characteristics of entropy optimization with Arrhenius activation energy are discussed. Nonlinear PDE's are reduced to highly nonlinear ordinary systems with appropriate transformations. A nonlinear system is numerically computed by the NDSolve technique. The salient characteristics of velocity, temperature, concentration, entropy generation, and Bejan number are explained. The computational results of the heat-transfer rate and concentration gradient are examined through tables. Velocity and temperature have reverse effects for the higher approximation of the Marangoni number. Velocity is a decreasing function of the Casson fluid parameter. Temperature is enhanced for higher radiation during reverse hold for concentration against the Marangoni number. The Bejan number and entropy generation have similar effects for Casson fluid and radiation parameters. For a higher estimation of the Brinkman number, the entropy optimization is augmented.
研究了马兰戈尼强迫对流倾斜磁流体动力学流动。马兰戈尼强迫对流取决于由磁场、温度和浓度梯度计算出的表面压力差异。考虑了无限圆盘的卡森纳米流体流动。在能量表达式中考虑了粘性耗散、热通量和焦耳热。还研究了热泳和布朗运动。计算了熵产生。讨论了具有阿累尼乌斯活化能的熵优化的物理特性。通过适当的变换将非线性偏微分方程简化为高度非线性的常微分方程组。利用NDSolve技术对非线性系统进行了数值计算。解释了速度、温度、浓度、熵产生和贝扬数的显著特征。通过表格研究了传热率和浓度梯度的计算结果。对于较高近似值的马兰戈尼数,速度和温度有相反的影响。速度是卡森流体参数的递减函数。在浓度相对于马兰戈尼数的反向保持期间,较高的辐射会提高温度。贝扬数和熵产生对卡森流体和辐射参数有相似的影响。对于较高的布林克曼数估计,熵优化会增强。