Computational analysis of power-law fluids for convective heat transfer in permeable enclosures using Darcy effects

Maryam Rehman; Muhammad Bilal Hafeez; Marek Krawczuk

doi:10.1007/s10973-024-13134-3

Computational analysis of power-law fluids for convective heat transfer in permeable enclosures using Darcy effects

Abstract

Natural convection is a complex environmental phenomenon that typically occurs in engineering settings in porous structures. Shear thinning or shear thickening fuids are characteristics of power-law fuids, which are non-Newtonian in nature and fnd wide-ranging uses in various industrial processes. Non-Newtonian fuid fow in porous media is a difcult problem with important consequences for energy systems and heat transfer. In this paper, convective heat transmission in permeable enclosures will be thoroughly examined. The main goal is to comprehend the intricate interaction between the buoyancyinduced convection intensity, the porosity of the casing, and the fuid’s power-law rheology as indicated by the Rayleigh number. The objective is to comprehend the underlying mechanisms and identify the ideal conditions for improving heat transfer processes.The problem’s governing equations for a scientifc investigation are predicated on the concepts of heat transport and fuid dynamics. The fuid fow and thermal behavior are represented using the energy equation, the Boussinesq approximation, and the Navier–Stokes equations. The continuity equation in a porous media represents the conservation of mass. Finite Element Analysis is the numerical method that is suggested for this challenging topic since it enables a comprehensive examination of the situation. The results of the investigation support several important conclusions. The power-law index directly impacts heat transmission patterns. A higher Rayleigh number indicates increased buoyancyinduced convection, which increases the heat transfer rates inside the shell. The porosity of the medium signifcantly afects temperature gradients and fow distribution, and it is most noticeable when permeability is present. The fndings show how, in the context of porous media, these parameters have complicated relationships with one another

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Keywords

NUMERICAL STUDY · DARCY EFECT · HEAT TRANSFER · PERMEABLE DYNAMICS · FINITE ELEMENT METHOD

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY no. 149, pages 6349 - 6360,
ISSN: 1388-6150

Language:

English

Publication year:

2024

Bibliographic description:

Rehman M., Hafeez M. B., Krawczuk M.: Computational analysis of power-law fluids for convective heat transfer in permeable enclosures using Darcy effects// JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY -Vol. 149, (2024), s.6349-6360

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