Mathematical models for free and mixed convection boundary layer flows of micropolar fluids

The phenomena of free and mixed convection are encountered in many industrial and engineering applications, for example, in the cooling of electronic equipment, materials processing and drilling operations. Free convection has also been used to explain the connection between skin disease and respira...

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Main Author:	Mohd. Nazar, Roslinda
Format:	Thesis
Language:	English
Published:	2003
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/6837/1/RoslindaMohdNazarPFS2003.pdf
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spelling	my-utm-ep.68372018-09-22T08:22:35Z Mathematical models for free and mixed convection boundary layer flows of micropolar fluids 2003-12 Mohd. Nazar, Roslinda QA Mathematics The phenomena of free and mixed convection are encountered in many industrial and engineering applications, for example, in the cooling of electronic equipment, materials processing and drilling operations. Free convection has also been used to explain the connection between skin disease and respiratory disease such as eczema and asthma. In this study, the mathematical models for steady laminar free and mixed convection boundary layer flows over a horizontal circular cylinder and a sphere immersed in an incompressible micropolar fluid are developed. The theory of micropolar fluid was proposed, as the classical Navier-Stokes theory is inadequate to describe most industrial fluids. Examples of micropolar fluids include polymeric fluids and colloidal suspensions that take into account the microscopic effects arising from the local structures and micromotions of the fluid elements. Both isothermal and nonisothermal boundary conditions are considered. The governing nonlinear partial differential equations are first transformed using an appropriate nonsimilar transformation before they are solved numerically using the Keller-box method, an unconditionally stable implicit finite-difference scheme. Numerical results presented include the velocity, temperature and angular velocity profiles as well as the fluid flow and heat transfer characteristics, for a range of the material parameter or the vortex viscosity K, the Prandtl number Pr, and the mixed convection parameter A. The numerical codes in the form of software packages have been developed using Matlab@. The packages and numerical results presented constitute an invaluable reference against which other exact or approximate solutions can be compared in the future. 2003-12 Thesis http://eprints.utm.my/id/eprint/6837/ http://eprints.utm.my/id/eprint/6837/1/RoslindaMohdNazarPFS2003.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:62457 phd doctoral Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mohd. Nazar, Roslinda Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
description	The phenomena of free and mixed convection are encountered in many industrial and engineering applications, for example, in the cooling of electronic equipment, materials processing and drilling operations. Free convection has also been used to explain the connection between skin disease and respiratory disease such as eczema and asthma. In this study, the mathematical models for steady laminar free and mixed convection boundary layer flows over a horizontal circular cylinder and a sphere immersed in an incompressible micropolar fluid are developed. The theory of micropolar fluid was proposed, as the classical Navier-Stokes theory is inadequate to describe most industrial fluids. Examples of micropolar fluids include polymeric fluids and colloidal suspensions that take into account the microscopic effects arising from the local structures and micromotions of the fluid elements. Both isothermal and nonisothermal boundary conditions are considered. The governing nonlinear partial differential equations are first transformed using an appropriate nonsimilar transformation before they are solved numerically using the Keller-box method, an unconditionally stable implicit finite-difference scheme. Numerical results presented include the velocity, temperature and angular velocity profiles as well as the fluid flow and heat transfer characteristics, for a range of the material parameter or the vortex viscosity K, the Prandtl number Pr, and the mixed convection parameter A. The numerical codes in the form of software packages have been developed using Matlab@. The packages and numerical results presented constitute an invaluable reference against which other exact or approximate solutions can be compared in the future.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Mohd. Nazar, Roslinda
author_facet	Mohd. Nazar, Roslinda
author_sort	Mohd. Nazar, Roslinda
title	Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
title_short	Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
title_full	Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
title_fullStr	Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
title_full_unstemmed	Mathematical models for free and mixed convection boundary layer flows of micropolar fluids
title_sort	mathematical models for free and mixed convection boundary layer flows of micropolar fluids
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2003
url	http://eprints.utm.my/id/eprint/6837/1/RoslindaMohdNazarPFS2003.pdf
_version_	1747814695718354944

Mathematical models for free and mixed convection boundary layer flows of micropolar fluids

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