热导率变厚度拉伸表面对Williamson纳米流体MHD流动传热传质影响的数值模拟

S. Islam, Haroon Ur Rasheed, K. Nisar, N. Alshehri, M. Zakarya
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引用次数: 12

摘要

目前的分析涉及的磁流体动力学边界层流动的辐射方面具有热质传递特征的导电威廉森纳米流体的拉伸表面。从熔体热流的角度考察了变厚度和导热特性对熔体热流的影响。威廉姆森纳米流体流动的数学公式是基于普朗特尔开创的边界层理论。边界层纳米流体流动思想提出了一种将偏微分方程的本构流动规律进行无因次化,然后转化为普通非线性微分方程的方法。采用Mathematica软件内置的数值算法bvp4c对非线性系统进行计算。通过图形描述回顾了无量纲参数的重要特征。作为一种极限情况,与另一种同伦方法(HAM)进行了比较,得到了很好的一致性。
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Numerical Simulation of Heat Mass Transfer Effects on MHD Flow of Williamson Nanofluid by a Stretching Surface with Thermal Conductivity and Variable Thickness
The current analysis deals with radiative aspects of magnetohydrodynamic boundary layer flow with heat mass transfer features on electrically conductive Williamson nanofluid by a stretching surface. The impact of variable thickness and thermal conductivity characteristics in view of melting heat flow are examined. The mathematical formulation of Williamson nanofluid flow is based on boundary layer theory pioneered by Prandtl. The boundary layer nanofluid flow idea yields a constitutive flow laws of partial differential equations (PDEs) are made dimensionless and then reduce to ordinary nonlinear differential equations (ODEs) versus transformation technique. A built-in numerical algorithm bvp4c in Mathematica software is employed for nonlinear systems computation. Considerable features of dimensionless parameters are reviewed via graphical description. A comparison with another homotopic approach (HAM) as a limiting case and an excellent agreement perceived.
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