Analytical approach to unidirectional flow of non-Newtonian fluids of differential type

This thesis is regarding the development of mathematical models and analytical techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal channel, vertical channel, capillary tube and horizontal cylinder. For a vertical plate, a mathematical model of the unsteady fl...

Full description

Saved in:

Bibliographic Details
Main Author:	Abdulhameed, Mohammed
Format:	Thesis
Language:	English English
Published:	2015
Subjects:	QC170-197 Atomic physics Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Online Access:	http://eprints.uthm.edu.my/1574/1/24p%20MOHAMMED%20ABDULHAMEED.pdf http://eprints.uthm.edu.my/1574/2/MOHAMMED%20ABDULHAMEED%20WATERMARK.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uthm-ep.1574
record_format	uketd_dc
spelling	my-uthm-ep.15742021-10-03T08:02:30Z Analytical approach to unidirectional flow of non-Newtonian fluids of differential type 2015-07 Abdulhameed, Mohammed QC170-197 Atomic physics. Constitution and properties of matter. Including molecular physics, relativity, quantum theory, and solid state physics This thesis is regarding the development of mathematical models and analytical techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal channel, vertical channel, capillary tube and horizontal cylinder. For a vertical plate, a mathematical model of the unsteady flow of second-grade fluid generated by an oscillating wall with transpiration, and the problem of magnetohydrodynamic (MHD) flow of third-grade fluid in a porous medium, have been developed. General solutions for the second-grade fluid are derived using Laplace transform, perturbation and variable separation techniques, while for the third-grade fluid are derived using symmetry reduction and new modified homotopy perturbation method (HPM). For a horizontal channel, a new analytical algorithm to solve transient flow of third-grade fluid generated by an oscillating upper wall has been proposed. A new approach of the optimal homotopy asymptotic method (OHAM) have been proposed to solve steady mixed convection flows of fourth-grade fluid in a vertical channel. The accuracy of the approximate solution is achieved through the residual function. For a capillary tube, two flow problems of the second-grade fluid were developed. Firstly, oscillating flow and heat transfer driven by a sinusoidal pressure waveform, and secondly, free convection flow driven due to the reactive nature of the viscoelastic fluid. The solutions for the first problem were derived using Bessel transform technique while for the second problem by using a new modified homotopy perturbation transform method. For a horizontal cylinder, an unsteady third-grade fluid in a wire coating process inside a cylindrical die is developed. A special case of the problem is obtained for magnetohydrodynamic flow with heat transfer for second-grade fluid. Both of these two problems are solved using a new modified homotopy perturbation transform method. Data, graph and solutions obtained are shown and were found in good agreement with previous studies. 2015-07 Thesis http://eprints.uthm.edu.my/1574/ http://eprints.uthm.edu.my/1574/1/24p%20MOHAMMED%20ABDULHAMEED.pdf text en public http://eprints.uthm.edu.my/1574/2/MOHAMMED%20ABDULHAMEED%20WATERMARK.pdf text en validuser phd doctoral Universiti Tun Hussein Onn Malaysia Faculty of Science, Technology and Human Development
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English
topic	QC170-197 Atomic physics Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
spellingShingle	QC170-197 Atomic physics Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics Abdulhameed, Mohammed Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
description	This thesis is regarding the development of mathematical models and analytical techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal channel, vertical channel, capillary tube and horizontal cylinder. For a vertical plate, a mathematical model of the unsteady flow of second-grade fluid generated by an oscillating wall with transpiration, and the problem of magnetohydrodynamic (MHD) flow of third-grade fluid in a porous medium, have been developed. General solutions for the second-grade fluid are derived using Laplace transform, perturbation and variable separation techniques, while for the third-grade fluid are derived using symmetry reduction and new modified homotopy perturbation method (HPM). For a horizontal channel, a new analytical algorithm to solve transient flow of third-grade fluid generated by an oscillating upper wall has been proposed. A new approach of the optimal homotopy asymptotic method (OHAM) have been proposed to solve steady mixed convection flows of fourth-grade fluid in a vertical channel. The accuracy of the approximate solution is achieved through the residual function. For a capillary tube, two flow problems of the second-grade fluid were developed. Firstly, oscillating flow and heat transfer driven by a sinusoidal pressure waveform, and secondly, free convection flow driven due to the reactive nature of the viscoelastic fluid. The solutions for the first problem were derived using Bessel transform technique while for the second problem by using a new modified homotopy perturbation transform method. For a horizontal cylinder, an unsteady third-grade fluid in a wire coating process inside a cylindrical die is developed. A special case of the problem is obtained for magnetohydrodynamic flow with heat transfer for second-grade fluid. Both of these two problems are solved using a new modified homotopy perturbation transform method. Data, graph and solutions obtained are shown and were found in good agreement with previous studies.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Abdulhameed, Mohammed
author_facet	Abdulhameed, Mohammed
author_sort	Abdulhameed, Mohammed
title	Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
title_short	Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
title_full	Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
title_fullStr	Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
title_full_unstemmed	Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
title_sort	analytical approach to unidirectional flow of non-newtonian fluids of differential type
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Faculty of Science, Technology and Human Development
publishDate	2015
url	http://eprints.uthm.edu.my/1574/1/24p%20MOHAMMED%20ABDULHAMEED.pdf http://eprints.uthm.edu.my/1574/2/MOHAMMED%20ABDULHAMEED%20WATERMARK.pdf
_version_	1747830819933650944

Analytical approach to unidirectional flow of non-Newtonian fluids of differential type

Similar Items