Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect

This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless fo...

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Main Authors: Syazwani, Mohd Zokri, Nur Syamilah, Arifin, Muhammad Khairul Anuar, Mohamed, Abdul Rahman, Mohd Kasim, Mohd Zuki, Salleh
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2018
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/24042/
http://umpir.ump.edu.my/id/eprint/24042/1/4%202018_Syazwani_JSM_Full%20Paper.pdf
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author Syazwani, Mohd Zokri
Nur Syamilah, Arifin
Muhammad Khairul Anuar, Mohamed
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
author_facet Syazwani, Mohd Zokri
Nur Syamilah, Arifin
Muhammad Khairul Anuar, Mohamed
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
author_sort Syazwani, Mohd Zokri
building UMP Institutional Repository
collection Online Access
description This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless form using the appropriate non-dimensional variables are solved numerically through the Keller-box method. A comparative study is performed and authentication of the present results with documented outcomes from formerly published works is excellently achieved. Tabular and graphical representations of the numerical results are executed for the specified distributions, considering the mixed convection parameter, Jeffrey fluid parameters and the Prandtl and Eckert numbers. Interestingly, boundary layer separation for mixed convection parameter happens for some positive (assisting flow) and negative (opposing flow) values. Strong assisting flow means the cylinder is heated, which causes the delay in boundary layer separation, whereas strong opposing flow means the cylinder is cooled, which conveys the separation point close to the lower stagnation point. Contradictory behaviours of both Jeffrey fluid parameters are observed over the velocity and temperature profiles together with the skin friction coefficient and Nusselt number. The increase of the Prandtl number leads to the decrement of the temperature profile, while the increase of the Eckert number results in the slight increment of the skin friction coefficient and decrement of the Nusselt number. Both velocity and temperature profiles of Eckert number show no effects at the lower stagnation point of the cylinder.
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institution Universiti Malaysia Pahang
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spelling ump-240422019-01-30T06:43:07Z http://umpir.ump.edu.my/id/eprint/24042/ Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect Syazwani, Mohd Zokri Nur Syamilah, Arifin Muhammad Khairul Anuar, Mohamed Abdul Rahman, Mohd Kasim Mohd Zuki, Salleh QA Mathematics This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless form using the appropriate non-dimensional variables are solved numerically through the Keller-box method. A comparative study is performed and authentication of the present results with documented outcomes from formerly published works is excellently achieved. Tabular and graphical representations of the numerical results are executed for the specified distributions, considering the mixed convection parameter, Jeffrey fluid parameters and the Prandtl and Eckert numbers. Interestingly, boundary layer separation for mixed convection parameter happens for some positive (assisting flow) and negative (opposing flow) values. Strong assisting flow means the cylinder is heated, which causes the delay in boundary layer separation, whereas strong opposing flow means the cylinder is cooled, which conveys the separation point close to the lower stagnation point. Contradictory behaviours of both Jeffrey fluid parameters are observed over the velocity and temperature profiles together with the skin friction coefficient and Nusselt number. The increase of the Prandtl number leads to the decrement of the temperature profile, while the increase of the Eckert number results in the slight increment of the skin friction coefficient and decrement of the Nusselt number. Both velocity and temperature profiles of Eckert number show no effects at the lower stagnation point of the cylinder. Universiti Kebangsaan Malaysia 2018-07-01 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/24042/1/4%202018_Syazwani_JSM_Full%20Paper.pdf Syazwani, Mohd Zokri and Nur Syamilah, Arifin and Muhammad Khairul Anuar, Mohamed and Abdul Rahman, Mohd Kasim and Mohd Zuki, Salleh (2018) Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect. Sains Malaysiana, 47 (7). pp. 1607-1615. ISSN 0126-6039. (Published) http://dx.doi.org/10.17576/jsm-2018-4707-32 http://dx.doi.org/10.17576/jsm-2018-4707-32
spellingShingle QA Mathematics
Syazwani, Mohd Zokri
Nur Syamilah, Arifin
Muhammad Khairul Anuar, Mohamed
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title_full Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title_fullStr Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title_full_unstemmed Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title_short Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect
title_sort mathematical model of mixed convection boundary layer flow over a horizontal circular cylinder filled in a jeffrey fluid with viscous dissipation effect
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/24042/
http://umpir.ump.edu.my/id/eprint/24042/
http://umpir.ump.edu.my/id/eprint/24042/
http://umpir.ump.edu.my/id/eprint/24042/1/4%202018_Syazwani_JSM_Full%20Paper.pdf