Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis

The thermal aspects of non-Newtonian flow field manifested with the buoyant convection effect in a closed cavities is not abundantly investigated as yet due to complexity of boundary constraints. Therefore the present work is the key attempt in this direction to offer the untapped computational find...

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Main Authors: Khalil Ur Rehman, M.Y. Malik, Wael Al-Kouz, Zahra Abdelmalek
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X20305207
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spelling doaj-22f2babe4d324af690325c7cc60af9ae2020-12-21T12:59:18ZengElsevierCase Studies in Thermal Engineering2214-157X2020-12-0122100778Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysisKhalil Ur Rehman0M.Y. Malik1Wael Al-Kouz2Zahra Abdelmalek3Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, PakistanDepartment of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi ArabiaMechatronics Engineering Department, German Jordanian University, Amman, 11180, JordanInstitute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam; Faculty of Medicine, Duy Tan University, Da Nang, 550000, Vietnam; Corresponding author. Institute of Research and Development, Duy Tan University, Da Nangl, 550000, Vietnam.The thermal aspects of non-Newtonian flow field manifested with the buoyant convection effect in a closed cavities is not abundantly investigated as yet due to complexity of boundary constraints. Therefore the present work is the key attempt in this direction to offer the untapped computational findings on the trapezium enclosure equipped with the buoyantly convective non-Newtonian fluid and rooted with the partially heated T-shaped fin. The relative velocity of the non-Newtonian fluid and the walls of trapezium enclosure is taken zero. Both left and right walls of cavity are taken uniformly heated. The top wall is insulated and bottom wall is taken cold. The tips of T-shaped fin are taken case-wise: cold, heated and adiabatic. The problem is mathematically controlled by way of system of coupled partial differential equations. For solution purpose the numerical method named finite element method is utilized. The grid accuracy is debated by considering sex different hybrid meshing levels. The impacts of non-Newtonian flow controlling parameters namely the Rayleigh number and the Casson fluid parameter are examined. The outcomes subject to dimensionless horizontal velocity, dimensionless vertical velocity, stream-function, and temperature distribution are shared by means of contour plots. The line graph study is executed to report the Nusselt number variations for T-shaped fin having heated tips and along left/right walls of trapezium enclosure.http://www.sciencedirect.com/science/article/pii/S2214157X20305207Buoyant convectionNon-Newtonian fluidT-shaped finHybrid meshingFinite element method
collection DOAJ
language English
format Article
sources DOAJ
author Khalil Ur Rehman
M.Y. Malik
Wael Al-Kouz
Zahra Abdelmalek
spellingShingle Khalil Ur Rehman
M.Y. Malik
Wael Al-Kouz
Zahra Abdelmalek
Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
Case Studies in Thermal Engineering
Buoyant convection
Non-Newtonian fluid
T-shaped fin
Hybrid meshing
Finite element method
author_facet Khalil Ur Rehman
M.Y. Malik
Wael Al-Kouz
Zahra Abdelmalek
author_sort Khalil Ur Rehman
title Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
title_short Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
title_full Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
title_fullStr Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
title_full_unstemmed Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis
title_sort heat transfer individualities due to evenly heated t-shaped blade rooted in trapezium enclosure: numerical analysis
publisher Elsevier
series Case Studies in Thermal Engineering
issn 2214-157X
publishDate 2020-12-01
description The thermal aspects of non-Newtonian flow field manifested with the buoyant convection effect in a closed cavities is not abundantly investigated as yet due to complexity of boundary constraints. Therefore the present work is the key attempt in this direction to offer the untapped computational findings on the trapezium enclosure equipped with the buoyantly convective non-Newtonian fluid and rooted with the partially heated T-shaped fin. The relative velocity of the non-Newtonian fluid and the walls of trapezium enclosure is taken zero. Both left and right walls of cavity are taken uniformly heated. The top wall is insulated and bottom wall is taken cold. The tips of T-shaped fin are taken case-wise: cold, heated and adiabatic. The problem is mathematically controlled by way of system of coupled partial differential equations. For solution purpose the numerical method named finite element method is utilized. The grid accuracy is debated by considering sex different hybrid meshing levels. The impacts of non-Newtonian flow controlling parameters namely the Rayleigh number and the Casson fluid parameter are examined. The outcomes subject to dimensionless horizontal velocity, dimensionless vertical velocity, stream-function, and temperature distribution are shared by means of contour plots. The line graph study is executed to report the Nusselt number variations for T-shaped fin having heated tips and along left/right walls of trapezium enclosure.
topic Buoyant convection
Non-Newtonian fluid
T-shaped fin
Hybrid meshing
Finite element method
url http://www.sciencedirect.com/science/article/pii/S2214157X20305207
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