Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet

Advancement in the study of fluid mechanics has gained worldwide attention owing to its prominence applications in industry and engineering, those related to chemicals industries, thermal oil recovery, food and slurry transportation, polymer and food processing. Keeping views of its rheological feat...

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Main Author:	Ahlam Mahmoud, Al-Jabali
Format:	Thesis
Language:	English
Published:	2021
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/35257/1/Temperature%20dependent%20viscosity%20on%20single-phase%20and%20two-phase%20flow%20of%20eyring%20powell%20fluid.ir.pdf
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spelling	my-ump-ir.352572022-10-14T02:06:48Z Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet 2021-03 Ahlam Mahmoud, Al-Jabali Q Science (General) QA Mathematics Advancement in the study of fluid mechanics has gained worldwide attention owing to its prominence applications in industry and engineering, those related to chemicals industries, thermal oil recovery, food and slurry transportation, polymer and food processing. Keeping views of its rheological features, numerous researchers have concentrated on the flows dealing with these versatile nature fluids. Studies have found that conventional equations such as Navier-Stokes are unable to reliably explain the rheological behavior of some fluids, as investigations on actual applications is expensive and risky at times. Therefore, this study focused on the subfamily undernon-Newtonian fluid models, namely Eyring Powell fluid to overcome these limitations. In line with this, a studyon mathematical model of a convective boundary layer under temperature-dependent viscosity on single-phase and two-phase flow over a vertical stretching sheet with Newtonian heating (NH) boundary conditions for Eyring Powell fluid was carried out. The key contributions of this thesis include filling the research gap on mathematical models of Eyring Powell fluid under single-phase and two-phase flow. Three main analyses were conducted; the first and second analysis focused on the study of forced and mixed convection of single-phase flow, while the third analysis studied the mixed convection under two-phase flow. The governing non-linear equations for each problem converted into ordinary differential equation using suitable set of similarity transformation before numerically solved by using the implicit finite difference scheme known asthe Kellerbox method (KBM). The numerical models were computed usingthe MATLAB software and the results present the behavior of fluid flow characteristics involving non-dimensional velocity and temperature distribution as well as skin friction and heat transfer of fluid for various nondimensional parameters namely, fluid parameters, Prandtl number, mixed convection parameter, fluid-particle interaction, specific heat ratio of mixture, mass concentration of particle phase and viscosity parameter. The numerical solutions obtained were illustrated through graphs and tables. From the obtained results, it was observed that the investigated parameters affect of both fluid and dust fluid characteristics, specifically skin friction, heat transfer and the fluid’s velocity and temperature. Under single-phase and two-phase flow,it clearly indicates that the fluid profiles are asymptotically approached to zero, farther from the plate, which matches the boundary condition appropriately. It is anticipated that the results in this study will lead to a deeper understanding of the characteristics of single-phase and twophase fluid flow as well as the solutions to its flow problems. 2021-03 Thesis http://umpir.ump.edu.my/id/eprint/35257/ http://umpir.ump.edu.my/id/eprint/35257/1/Temperature%20dependent%20viscosity%20on%20single-phase%20and%20two-phase%20flow%20of%20eyring%20powell%20fluid.ir.pdf pdf en public masters Universiti Malaysia Pahang Centre for Mathematical Sciences
institution	Universiti Malaysia Pahang Al-Sultan Abdullah
collection	UMPSA Institutional Repository
language	English
topic	Q Science (General) QA Mathematics
spellingShingle	Q Science (General) QA Mathematics Ahlam Mahmoud, Al-Jabali Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
description	Advancement in the study of fluid mechanics has gained worldwide attention owing to its prominence applications in industry and engineering, those related to chemicals industries, thermal oil recovery, food and slurry transportation, polymer and food processing. Keeping views of its rheological features, numerous researchers have concentrated on the flows dealing with these versatile nature fluids. Studies have found that conventional equations such as Navier-Stokes are unable to reliably explain the rheological behavior of some fluids, as investigations on actual applications is expensive and risky at times. Therefore, this study focused on the subfamily undernon-Newtonian fluid models, namely Eyring Powell fluid to overcome these limitations. In line with this, a studyon mathematical model of a convective boundary layer under temperature-dependent viscosity on single-phase and two-phase flow over a vertical stretching sheet with Newtonian heating (NH) boundary conditions for Eyring Powell fluid was carried out. The key contributions of this thesis include filling the research gap on mathematical models of Eyring Powell fluid under single-phase and two-phase flow. Three main analyses were conducted; the first and second analysis focused on the study of forced and mixed convection of single-phase flow, while the third analysis studied the mixed convection under two-phase flow. The governing non-linear equations for each problem converted into ordinary differential equation using suitable set of similarity transformation before numerically solved by using the implicit finite difference scheme known asthe Kellerbox method (KBM). The numerical models were computed usingthe MATLAB software and the results present the behavior of fluid flow characteristics involving non-dimensional velocity and temperature distribution as well as skin friction and heat transfer of fluid for various nondimensional parameters namely, fluid parameters, Prandtl number, mixed convection parameter, fluid-particle interaction, specific heat ratio of mixture, mass concentration of particle phase and viscosity parameter. The numerical solutions obtained were illustrated through graphs and tables. From the obtained results, it was observed that the investigated parameters affect of both fluid and dust fluid characteristics, specifically skin friction, heat transfer and the fluid’s velocity and temperature. Under single-phase and two-phase flow,it clearly indicates that the fluid profiles are asymptotically approached to zero, farther from the plate, which matches the boundary condition appropriately. It is anticipated that the results in this study will lead to a deeper understanding of the characteristics of single-phase and twophase fluid flow as well as the solutions to its flow problems.
format	Thesis
qualification_level	Master's degree
author	Ahlam Mahmoud, Al-Jabali
author_facet	Ahlam Mahmoud, Al-Jabali
author_sort	Ahlam Mahmoud, Al-Jabali
title	Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
title_short	Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
title_full	Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
title_fullStr	Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
title_full_unstemmed	Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
title_sort	temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet
granting_institution	Universiti Malaysia Pahang
granting_department	Centre for Mathematical Sciences
publishDate	2021
url	http://umpir.ump.edu.my/id/eprint/35257/1/Temperature%20dependent%20viscosity%20on%20single-phase%20and%20two-phase%20flow%20of%20eyring%20powell%20fluid.ir.pdf
_version_	1783732226259681280

Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet

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