Exact solution of non-Newtonian fluid motion between side walls

Exact solution of non-Newtonian fluid motion between side walls

In this paper non-Newtonian flow (Brinkman) type fluid over an infinite plate between side walls is being investigated. The flow is generated by oscillating shear stress of the bottom plate and the solutions are obtained by using Fourier integral transformation. The obtained results are presented in...

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Main Authors: Muhammad Asif, Sami Ul Haq, Saeed Islam, Ilyas Khan, Iskander Tlili
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718302985
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spelling doaj-cc7fb22ed91a45cbb47e7ec5bcbfbec32020-11-25T00:56:45ZengElsevierResults in Physics2211-37972018-12-0111534539Exact solution of non-Newtonian fluid motion between side wallsMuhammad Asif0Sami Ul Haq1Saeed Islam2Ilyas Khan3Iskander Tlili4Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanIslamia College University, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Corresponding author.Energy and Thermal Systems Laboratory, National Engineering School of Monastir, Street Ibn El Jazzar, 5019 Monastir, TunisiaIn this paper non-Newtonian flow (Brinkman) type fluid over an infinite plate between side walls is being investigated. The flow is generated by oscillating shear stress of the bottom plate and the solutions are obtained by using Fourier integral transformation. The obtained results are presented in steady and transient states for both sine and cosine-shaped shear stresses. The general solutions are reduced to some special cases corresponding, namely to the Brinkman type fluid over an infinite plate and flow of a Newtonian viscous fluid. Graphical illustrations are carried out to have in depth analysis of the involved physical parameters. Keywords: Non-Newtonian flow, Fourier integral transformation, Side walls, Oscillating shear stresshttp://www.sciencedirect.com/science/article/pii/S2211379718302985
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Asif
Sami Ul Haq
Saeed Islam
Ilyas Khan
Iskander Tlili
spellingShingle Muhammad Asif
Sami Ul Haq
Saeed Islam
Ilyas Khan
Iskander Tlili
Exact solution of non-Newtonian fluid motion between side walls
Results in Physics
author_facet Muhammad Asif
Sami Ul Haq
Saeed Islam
Ilyas Khan
Iskander Tlili
author_sort Muhammad Asif
title Exact solution of non-Newtonian fluid motion between side walls
title_short Exact solution of non-Newtonian fluid motion between side walls
title_full Exact solution of non-Newtonian fluid motion between side walls
title_fullStr Exact solution of non-Newtonian fluid motion between side walls
title_full_unstemmed Exact solution of non-Newtonian fluid motion between side walls
title_sort exact solution of non-newtonian fluid motion between side walls
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-12-01
description In this paper non-Newtonian flow (Brinkman) type fluid over an infinite plate between side walls is being investigated. The flow is generated by oscillating shear stress of the bottom plate and the solutions are obtained by using Fourier integral transformation. The obtained results are presented in steady and transient states for both sine and cosine-shaped shear stresses. The general solutions are reduced to some special cases corresponding, namely to the Brinkman type fluid over an infinite plate and flow of a Newtonian viscous fluid. Graphical illustrations are carried out to have in depth analysis of the involved physical parameters. Keywords: Non-Newtonian flow, Fourier integral transformation, Side walls, Oscillating shear stress
url http://www.sciencedirect.com/science/article/pii/S2211379718302985
work_keys_str_mv AT muhammadasif exactsolutionofnonnewtonianfluidmotionbetweensidewalls
AT samiulhaq exactsolutionofnonnewtonianfluidmotionbetweensidewalls
AT saeedislam exactsolutionofnonnewtonianfluidmotionbetweensidewalls
AT ilyaskhan exactsolutionofnonnewtonianfluidmotionbetweensidewalls
AT iskandertlili exactsolutionofnonnewtonianfluidmotionbetweensidewalls
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