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Natural Convection In A Partially Heated Wavy Cavity Filled With A Nanofluid Using Buongiorno’s Nanofluid Model

I. Pop, M. Sheremet, Dalia Sabina Cîmpean
Published 2017 · Mathematics

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Purpose The main purpose of this numerical work is to provide a solution for natural convection in a partially heated wavy cavity filled with a nanofluid using Buongiorno’s nanofluid model. Design/methodology/approach The domain of interest is a two-dimensional cavity bounded by an isothermal left wavy wall, adiabatic horizontal flat walls and right flat wall with a partial isothermal zone. In order to study the behaviour of the nanofluid, a two-phase Buongiorno’s mathematical model with the effects of the Brownian motion and thermophoresis is used. The governing dimensionless partial differential equations with corresponding boundary conditions were numerically solved by the finite difference method of the second order accuracy using the algebraic transformation of the physical wavy cavity to computational rectangular domain. The study has been conducted at the following values of the governing parameters: Ra = 104–106, Le = 10, Pr = 6.26, Nr = 0.1, Nb = 0.1, Nt = 0.1, A = 1,  = 1–3, b = 0.2, hhs/L = 0....
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