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Activation energy study for peristaltically driven divergent flow with radiation effect
Case Studies in Thermal Engineering ( IF 6.4 ) Pub Date : 2021-06-19 , DOI: 10.1016/j.csite.2021.101172
T. Salahuddin , Abdul Mosan Bashir , Mair Khan , Yasser Elmasry

The central goal of the current research work is to develop a mathematical model by which we evaluate the influence of mixed convection on the flow rate, temperature profile and concentration rate in the occurrence of radiation and concentration impact respectively, through asymmetric divergent channel. The obtained resultant mathematical equations are transformed into system of first order differential equation by applying suitable transformation. Next we apply shooting method to calculated the numerical solutions with the help of MATLAB. Furthermore we graphically analysis the impact of geometry parameter a, Grashof number Gr and modified Grashof number Br on velocity profile. Also, we discuss the impact of heat generation parameter M and Prandtl number Pr on thermal profile. Moreover, we interpreter the consequence of activation energy E and temperature difference parameter Ω on concentration profile. Velocity profile u(y) reduces by enlarging geometry parameter a, velocity profile u(y) gives opposite performance for high value of Grashof Gr and modified Grashof numbers Br, temperature profile grows for large values of Prandtl numbers Pr and heat generation parameter M and concentration profile shows prominent impact more large values of activation energy and decreases for high values of difference parameter.



中文翻译:

具有辐射效应的蠕动驱动发散流的活化能研究

当前研究工作的中心目标是开发一个数学模型,通过该模型我们评估混合对流通过不对称发散通道分别对辐射和浓度影响发生时的流速、温度分布和浓度率的影响。通过应用适当的变换,将得到的数学方程转化为一阶微分方程组。接下来我们在MATLAB的帮助下应用射击法计算数值解。此外,我们图形化地分析了几何参数 a、Grashof 数G r和修正的 Grashof 数B r 的影响在速度剖面上。此外,我们还讨论了发热参数 M 和 Prandtl 数 Pr 对热分布的影响。此外,我们解释了活化能 E 和温差参数 Ω 对浓度分布的影响。速度剖面u ( y ) 通过增大几何参数a减小,速度剖面u ( y ) 在 Grashof G r和修正的 Grashof 数B r值较高时给出相反的性能,温度曲线随着普朗特数 Pr 和发热参数 M 的大值而增长,浓度曲线显示出更大的活化能值的显着影响,并且随着差异参数的高值而降低。

更新日期:2021-07-08
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