Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation

Unsteady flow of viscous and second grade fluids in non-coaxial rotation past a vertical oscillating disk have been studied by a number of researchers due to wide applications in boundary layer control, food processing, mixer machines and cooling turbine blades. Therefore, in this research, heat and...

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Main Author:	Mohamad, Ahmad Qushairi
Format:	Thesis
Language:	English
Published:	2018
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/80863/1/AhmadQushairiMohamadPFS2018.pdf
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spelling	my-utm-ep.808632019-07-24T00:08:15Z Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation 2018-08 Mohamad, Ahmad Qushairi QA Mathematics Unsteady flow of viscous and second grade fluids in non-coaxial rotation past a vertical oscillating disk have been studied by a number of researchers due to wide applications in boundary layer control, food processing, mixer machines and cooling turbine blades. Therefore, in this research, heat and mass transfer of viscous and second grade fluids were studied. The effect of magnetohydrodynamics (MHD) flow through a porous medium was considered. The main purpose of this study was to obtain the exact solutions for four problems of non-coaxial rotating flow. Two problems were studied for viscous fluid, whereas another two problems were studied for second grade fluid. All problems were considered in mixed convection flow and without magnetic and porosity effects. Appropriate non-dimensional variables were used to simplify the governing equations into non-dimensional equations along with initial and boundary conditions. Through this non-dimensional process, the non-dimensional parameters such as Grashof number, modified Grashof number, Prandtl number, Schmidt number, velocity of oscillation, magnetic, porosity and second grade fluid were obtained. The exact solutions for velocity, temperature and concentration expressions were obtained by using Laplace transform technique. From these corresponding expressions, the skin friction, Nusselt number and Sherwood number were calculated. The solutions were plotted graphically to discuss the influence of non-dimensional parameters in velocity, temperature and concentration profiles. Results show that, velocity profile with magnetic effect is lower compared to velocity without magnetic effect, whereas the velocity with heat and mass transfer phenomena is higher than just a heat transfer. It is also observed that velocity of second grade fluid solutions is always lower compared to the velocity of viscous fluid. All the obtained results are compared with published results and found to be in good agreement, validating the obtained solutions. The exact solutions obtained in this thesis provide an interesting and complete benchmark to verify numerical schemes for solving different complex flow situations. 2018-08 Thesis http://eprints.utm.my/id/eprint/80863/ http://eprints.utm.my/id/eprint/80863/1/AhmadQushairiMohamadPFS2018.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:125040 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 Mohamad, Ahmad Qushairi Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
description	Unsteady flow of viscous and second grade fluids in non-coaxial rotation past a vertical oscillating disk have been studied by a number of researchers due to wide applications in boundary layer control, food processing, mixer machines and cooling turbine blades. Therefore, in this research, heat and mass transfer of viscous and second grade fluids were studied. The effect of magnetohydrodynamics (MHD) flow through a porous medium was considered. The main purpose of this study was to obtain the exact solutions for four problems of non-coaxial rotating flow. Two problems were studied for viscous fluid, whereas another two problems were studied for second grade fluid. All problems were considered in mixed convection flow and without magnetic and porosity effects. Appropriate non-dimensional variables were used to simplify the governing equations into non-dimensional equations along with initial and boundary conditions. Through this non-dimensional process, the non-dimensional parameters such as Grashof number, modified Grashof number, Prandtl number, Schmidt number, velocity of oscillation, magnetic, porosity and second grade fluid were obtained. The exact solutions for velocity, temperature and concentration expressions were obtained by using Laplace transform technique. From these corresponding expressions, the skin friction, Nusselt number and Sherwood number were calculated. The solutions were plotted graphically to discuss the influence of non-dimensional parameters in velocity, temperature and concentration profiles. Results show that, velocity profile with magnetic effect is lower compared to velocity without magnetic effect, whereas the velocity with heat and mass transfer phenomena is higher than just a heat transfer. It is also observed that velocity of second grade fluid solutions is always lower compared to the velocity of viscous fluid. All the obtained results are compared with published results and found to be in good agreement, validating the obtained solutions. The exact solutions obtained in this thesis provide an interesting and complete benchmark to verify numerical schemes for solving different complex flow situations.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Mohamad, Ahmad Qushairi
author_facet	Mohamad, Ahmad Qushairi
author_sort	Mohamad, Ahmad Qushairi
title	Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
title_short	Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
title_full	Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
title_fullStr	Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
title_full_unstemmed	Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
title_sort	mixed convection flow of viscous and second grade fluids due to non–coaxial rotation
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2018
url	http://eprints.utm.my/id/eprint/80863/1/AhmadQushairiMohamadPFS2018.pdf
_version_	1747818272464568320

Mixed convection flow of viscous and second grade fluids due to non–coaxial rotation

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