Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method

Non-Newtonian fluids are employed in a wide range of industrial applications. Non-Newtonian fluids that shows characteristics of both elastic and viscous fluids as a result of shear stress, are referred to as viscoelastic fluids. Constitutive equations of the viscoelastic fluids, flow patterns and v...

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Main Author:	Elniel Dalam, Fawzia Mansour
Format:	Thesis
Language:	English
Published:	2022
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/101965/1/FawziaMansourElnielPFS2022.pdf
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spelling	my-utm-ep.1019652023-07-25T09:57:12Z Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method 2022 Elniel Dalam, Fawzia Mansour QA Mathematics Non-Newtonian fluids are employed in a wide range of industrial applications. Non-Newtonian fluids that shows characteristics of both elastic and viscous fluids as a result of shear stress, are referred to as viscoelastic fluids. Constitutive equations of the viscoelastic fluids, flow patterns and viscous response are important challenges that need to be considered when modelling the flow in a porous medium. The predominant idea of this thesis is to find the analytical solutions of viscoelastic fluid in a porous medium. The primary goal of this research is to create a one-dimensional simulation for three different kinds of viscoelastic fluids, namely, Johnson-Segalman, Powell-Eyring, and Sisko fluids, in a porous medium. Further, Darcy’s law is selected for simulating permeable media saturated by viscoelastic fluid. The effect of external magnetic field is an additional feature to the innovation of the constructed mathematical models. The system of nonlinear coupled partial differential equations supported by related boundary conditions are solved analytically by using the Adomian decomposition method (ADM). In the analysis, the impact of various physical parameters on velocity and temperature are scrutinized and the results are exhibited graphically. The wall shear stress versus governing constraints are also evaluated, and their results are summarised in the form of tables and graphs. The results demonstrated that for both isothermal and non-isothermal circumstances, the inclination angle causes a variation in shear stress. It is also observed that the viscosity and shear stress have a direct connection in the absence of a heating effect. Moreover, the viscosity of the non-isothermal state is sensitive to temperature variations for both lift and drainage problems. The findings validated the efficacy of the suggested technique, and the solutions are successfully approximated to the exact solutions. 2022 Thesis http://eprints.utm.my/id/eprint/101965/ http://eprints.utm.my/id/eprint/101965/1/FawziaMansourElnielPFS2022.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:147907 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 Elniel Dalam, Fawzia Mansour Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
description	Non-Newtonian fluids are employed in a wide range of industrial applications. Non-Newtonian fluids that shows characteristics of both elastic and viscous fluids as a result of shear stress, are referred to as viscoelastic fluids. Constitutive equations of the viscoelastic fluids, flow patterns and viscous response are important challenges that need to be considered when modelling the flow in a porous medium. The predominant idea of this thesis is to find the analytical solutions of viscoelastic fluid in a porous medium. The primary goal of this research is to create a one-dimensional simulation for three different kinds of viscoelastic fluids, namely, Johnson-Segalman, Powell-Eyring, and Sisko fluids, in a porous medium. Further, Darcy’s law is selected for simulating permeable media saturated by viscoelastic fluid. The effect of external magnetic field is an additional feature to the innovation of the constructed mathematical models. The system of nonlinear coupled partial differential equations supported by related boundary conditions are solved analytically by using the Adomian decomposition method (ADM). In the analysis, the impact of various physical parameters on velocity and temperature are scrutinized and the results are exhibited graphically. The wall shear stress versus governing constraints are also evaluated, and their results are summarised in the form of tables and graphs. The results demonstrated that for both isothermal and non-isothermal circumstances, the inclination angle causes a variation in shear stress. It is also observed that the viscosity and shear stress have a direct connection in the absence of a heating effect. Moreover, the viscosity of the non-isothermal state is sensitive to temperature variations for both lift and drainage problems. The findings validated the efficacy of the suggested technique, and the solutions are successfully approximated to the exact solutions.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Elniel Dalam, Fawzia Mansour
author_facet	Elniel Dalam, Fawzia Mansour
author_sort	Elniel Dalam, Fawzia Mansour
title	Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
title_short	Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
title_full	Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
title_fullStr	Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
title_full_unstemmed	Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
title_sort	steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2022
url	http://eprints.utm.my/id/eprint/101965/1/FawziaMansourElnielPFS2022.pdf
_version_	1776100814235893760

Steady flow of some non-newtonian fluids through a porous medium by using adomian decomposition method

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