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对用于估计熵优化粘性流体流向旋转锥面的数学模型的评估。

An assessment of the mathematical model for estimating of entropy optimized viscous fluid flow towards a rotating cone surface.

作者信息

Li Yong-Min, Khan M Ijaz, Khan Sohail A, Khan Sami Ullah, Shah Zahir, Kumam Poom

机构信息

Department of Mathematics, Huzhou University, Huzhou, 313000, People's Republic of China.

Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan.

出版信息

Sci Rep. 2021 May 13;11(1):10259. doi: 10.1038/s41598-021-89739-7.

Abstract

Entropy optimization in convective viscous fluids flow due to a rotating cone is explored. Heat expression with heat source/sink and dissipation is considered. Irreversibility with binary chemical reaction is also deliberated. Nonlinear system is reduced to ODEs by suitable variables. Newton built in shooting procedure is adopted for numerical solution. Salient features velocity filed, Bejan number, entropy rate, concentration and temperature are deliberated. Numerical outcomes for velocity gradient and mass and heat transfer rates are displayed through tables. Assessments between the current and previous published outcomes are in an excellent agreement. It is noted that velocity and temperature show contrasting behavior for larger variable viscosity parameter. Entropy rate and Bejan number have reverse effect against viscosity variable. For rising values of thermal conductivity variable both Bejan number and entropy optimization have similar effect.

摘要

研究了旋转圆锥引起的对流粘性流体流动中的熵优化问题。考虑了具有热源/热汇和耗散的热表达式。还讨论了二元化学反应的不可逆性。通过适当的变量将非线性系统简化为常微分方程。采用内置牛顿打靶法进行数值求解。讨论了速度场、贝扬数、熵率、浓度和温度的显著特征。通过表格展示了速度梯度以及质量和传热速率的数值结果。当前结果与先前发表的结果之间的评估结果非常吻合。值得注意的是,对于较大的可变粘度参数,速度和温度表现出相反的行为。熵率和贝扬数对粘度变量有相反的影响。对于热导率变量值的增加,贝扬数和熵优化都有类似的效果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82a7/8119489/0fdefd1a634b/41598_2021_89739_Fig1_HTML.jpg

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