Lie group analysis of natural convection heat and mass transfer in an inclined surface with chemical reaction |
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Authors: | M. Bhuvaneswari S. Sivasankaran M. Ferdows |
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Affiliation: | aDepartment of Mechanical Engineering, National Cheng Kung University, Tainan - 70101, Taiwan;bDepartment of Mathematics, University College, Sungkyunkwan University, Suwon 440-746, South Korea;cDepartment of Mathematics, Dhaka University, Dhaka 1000, Bangladesh |
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Abstract: | In this paper we examine the convective flow, heat and mass transfer of an incompressible viscous fluid past a semi-infinite inclined surface with first-order homogeneous chemical reaction by Lie group analysis. The governing partial differential equations are reduced to a system of ordinary differential equations using scaling symmetries. Numerical solutions of the resulting ordinary differential equations are obtained using the fourth-order Runge–Kutta method. From the numerical results, it is observed that the thickness of the momentum boundary layer increases with increasing the chemical reaction parameter and the Schmidt number. The thicknesses of the thermal and concentration boundary layers are decreased with increasing the chemical reaction parameter and the Schmidt number. |
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Keywords: | Lie groups Natural convection Inclined surface Heat and mass transfer Chemical reaction |
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