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Journal de mathématiques appliquées et computationnelles

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Numerical Investigation of Mixed Convection Flows with Variable Viscosity and Prandtl Number and Validation Using ANSYS FLUENT

Abstract

Abhishek Kumar Singha*, A. Royb, and A. K. Singh

Purpose: The purpose of present study is to analyze the mixed convection impact for an exponentially decreasing free stream in laminar water boundary layer flow with variable viscosity and Prandtl number. The analysis includes the effect of suction/blowing and heat generation/ absorption. Design/methodology/approach: The non-linear partial differential equation governing the flow and thermal fields are presented in nondimensional form by using appropriate transformations. The Quasilinearization technique in combination with implicit finite difference scheme has been adopted to solve the non- linear coupled partial differential equations. Findings: It was found that the influence of The numerical results are displayed graphically to illustrate the influence of various nondimensional physical parameters on velocity and temperature buoyancy assisting force on both velocity as well as temperature profile is significant. Skin friction coefficient increases with Richardson number and deceleration parameter. The heat transfer coefficient decrease with the increase of heat generation/absorption parameter and increases with an increase in wall suction/injection parameter. Originality/value: The present investigation deals with the solution of steady laminar water boundary layer flows with an exponentially decreasing free stream velocity and temperature-dependent viscosity and Prandtl number applicable to water using practical data.

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