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Lie group analysis for the effect of temperature-dependent fluid viscosity and thermophoresis particle deposition on free convective heat and mass transfer under variable stream conditions
Authors:Ramasamy Kandasamy  Ismoen Muhaimin
Institution:Faculty of Science, Arts and Heritage, Universiti Tun Hussein Onn Malaysia, Parit Raja 86400, Batu Pahat Johor, Malaysia
Abstract:This paper examines a steady two-dimensional flow of incompressible fluid over a vertical stretching sheet.The fluid viscosity is assumed to vary as a linear function of temperature.A scaling group of transformations is applied to the governing equations.The system remains invariant due to some relations among the transformation parameters.After finding three absolute invariants,a third-order ordinary differential equation corresponding to the momentum equation and two second-order ordinary differential equ...
Keywords:Lie group analysis  temperature-dependent fluid viscosity  thermal radia-tion  thermophoresis particle deposition
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