Viscous dissipation effect in the free convection of non-Newtonian fluid with heat generation or absorption effect on the vertical wavy surface
type: Item
instance of: scholarly article
title: Viscous dissipation effect in the free convection of non-Newtonian fluid with heat generation or absorption effect on the vertical wavy surface
zbMATH Open document ID: 1499.76104
DOI: 10.1155/2021/7567981
author: Mehdi Moslemi
author: Kourosh Javaherdeh
published in: Journal of Applied Mathematics
publication date: 2022-01-05T00:00:00Z
review text: Summary: The present article analyzes the effect of viscous dissipations on natural convection heat transfer. The power law model for non-Newtonian fluid with heat generation or absorption effect along a sinusoidal wavy surface with isothermal boundary condition is investigated. A simple coordinate transform is employed to map the wavy surface into a flat surface, and also, the fully implicit finite difference method is incorporated for the numerical solution. The findings of this study can help better understand the effect of parameters such as the Brinkman number, heat generation/absorption, wave amplitude magnitude, and generalized Prandtl number on convective heat transfer in dilatant and pseudoplastic non-Newtonian. Results show that as the Brinkman number increases, the amount of heat transfer decreases. This is physically justifiable considering that the fluid becomes warmer due to the viscous dissipation, decreasing its temperature difference with the constant temperature surface. Also, the effect of the power law viscosity index is surveyed. It is demonstrated that the magnitude of the local Nusselt number in the plane leading edge has the smallest quantity for pseudoplastic fluids compared to dilatant Newtonian fluids. Additionally, as the distance from the plane leading edge increases, the heat transfer declines.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 80A19
zbMATH DE Number: 7452294
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7567981
OpenAlex ID: W3206827282
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description: scientific article; zbMATH DE number 7452294