Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids

Similarity solutions of non-Newtonian fluids are getting much attention to researchers because of their practical importance in the field of science and engineering. Currently, most of researchers focus their work on non-Newtonian fluids over a sheet. However, only a few of them pay their attention...

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Main Author:	Raza, Jawad
Format:	Thesis
Language:	eng eng eng
Published:	2018
Subjects:	Q Science (General) T Technology (General)
Online Access:	https://etd.uum.edu.my/6928/1/DepositPermission_s900425.pdf https://etd.uum.edu.my/6928/2/s900425_01.pdf https://etd.uum.edu.my/6928/3/s900425_02.pdf
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id	my-uum-etd.6928
record_format	uketd_dc
institution	Universiti Utara Malaysia
collection	UUM ETD
language	eng eng eng
advisor	Mohd Rohni, Azizah Omar, Zurni
topic	Q Science (General) T Technology (General)
spellingShingle	Q Science (General) T Technology (General) Raza, Jawad Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
description	Similarity solutions of non-Newtonian fluids are getting much attention to researchers because of their practical importance in the field of science and engineering. Currently, most of researchers focus their work on non-Newtonian fluids over a sheet. However, only a few of them pay their attention towards the geometry of channel due to the complexity of governing equations. Therefore, this study attempts to investigate the numerical solutions of new problems of laminar incompressible Nanofluids, Casson fluids and Micropolar fluids under various fluid flow conditions. Each considered fluid involves porous channel walls, stretching or shrinking walls, and expanding or contracting walls with the influence of various physical parameters. Mathematical formulations such as the law of conservation, momentum or angular momentum, heat and mass transfer are performed on the new problems. After the mathematical formulation is developed, the governing fluid flow equations of partial differential equations are then transformed into boundary value problems (BVPs) of nonlinear ordinary differential equations (ODEs) by using the suitable similarity transformations. After converting high order BVPs into the equivalent first order system of BVPs, shootlib function in Maple 18 software is employed to obtain the similarity solutions of nonlinear ODEs. The numerical results in this study are compared with the existing solutions in literature for the purpose of validation. The results are found to be in good agreement with the existing solutions. Multiple solutions of some of the problems particularly in porous channel with expanding or contracting walls also exist for the case of strong suction. This study has successfully find the numerical solutions of the new problems for various fluid flow conditions. The results obtained from this study can serve as a theoretical reference in related fields.
format	Thesis
qualification_name	Ph.D.
qualification_level	Doctorate
author	Raza, Jawad
author_facet	Raza, Jawad
author_sort	Raza, Jawad
title	Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
title_short	Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
title_full	Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
title_fullStr	Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
title_full_unstemmed	Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
title_sort	similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids
granting_institution	Universiti Utara Malaysia
granting_department	Awang Had Salleh Graduate School of Arts & Sciences
publishDate	2018
url	https://etd.uum.edu.my/6928/1/DepositPermission_s900425.pdf https://etd.uum.edu.my/6928/2/s900425_01.pdf https://etd.uum.edu.my/6928/3/s900425_02.pdf
_version_	1747828130597306368
spelling	my-uum-etd.69282021-11-22T03:03:22Z Similarity solutions of boundary layer flows in a channel filled by non-newtonian fluids 2018 Raza, Jawad Mohd Rohni, Azizah Omar, Zurni Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduate School of Arts and Sciences Q Science (General) T Technology (General) Similarity solutions of non-Newtonian fluids are getting much attention to researchers because of their practical importance in the field of science and engineering. Currently, most of researchers focus their work on non-Newtonian fluids over a sheet. However, only a few of them pay their attention towards the geometry of channel due to the complexity of governing equations. Therefore, this study attempts to investigate the numerical solutions of new problems of laminar incompressible Nanofluids, Casson fluids and Micropolar fluids under various fluid flow conditions. Each considered fluid involves porous channel walls, stretching or shrinking walls, and expanding or contracting walls with the influence of various physical parameters. Mathematical formulations such as the law of conservation, momentum or angular momentum, heat and mass transfer are performed on the new problems. After the mathematical formulation is developed, the governing fluid flow equations of partial differential equations are then transformed into boundary value problems (BVPs) of nonlinear ordinary differential equations (ODEs) by using the suitable similarity transformations. After converting high order BVPs into the equivalent first order system of BVPs, shootlib function in Maple 18 software is employed to obtain the similarity solutions of nonlinear ODEs. The numerical results in this study are compared with the existing solutions in literature for the purpose of validation. The results are found to be in good agreement with the existing solutions. Multiple solutions of some of the problems particularly in porous channel with expanding or contracting walls also exist for the case of strong suction. This study has successfully find the numerical solutions of the new problems for various fluid flow conditions. The results obtained from this study can serve as a theoretical reference in related fields. 2018 Thesis https://etd.uum.edu.my/6928/ https://etd.uum.edu.my/6928/1/DepositPermission_s900425.pdf text eng public https://etd.uum.edu.my/6928/2/s900425_01.pdf text eng 2019-07-25 public https://etd.uum.edu.my/6928/3/s900425_02.pdf text eng public Ph.D. doctoral Universiti Utara Malaysia Afikuzzaman, M., Ferdows, M., & Alam, M. M. (2015). Unsteady MHD Casson fluid flow through a parallel plate with Hall current. Procedia Engineering, 105, 287–293. Abbasi, M., Domiri Ganji, D., & Taeibi Rahni, M. (2014). MHD flow in a channel using new combination of order of magnitude technique and HPM. Tehnički vjesnik, 21(2), 317-321. 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