A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet

This thesis investigates analytically and numerically the flow and heat transfer of nanofluids: between two infinite parallel plates, over a wedge, and past a stretching sheet. Two problems have been considered for the parallel plates. A mathematical model of squeezing unsteady nanofluid flow is...

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Main Author:	Gamsha, Abdullahi Madaki
Format:	Thesis
Language:	English English English
Published:	2017
Subjects:	TJ836-927 Hydraulic machinery
Online Access:	http://eprints.uthm.edu.my/736/1/24p%20ABDULLAHI%20MADAKI%20GAMSHA.pdf http://eprints.uthm.edu.my/736/2/ABDULLAHI%20MADAKI%20GAMSHA%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/736/3/ABDULLAHI%20MADAKI%20GAMSHA%20WATERMARK.pdf
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spelling	my-uthm-ep.7362021-08-30T07:32:20Z A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet 2017-04 Gamsha, Abdullahi Madaki TJ836-927 Hydraulic machinery This thesis investigates analytically and numerically the flow and heat transfer of nanofluids: between two infinite parallel plates, over a wedge, and past a stretching sheet. Two problems have been considered for the parallel plates. A mathematical model of squeezing unsteady nanofluid flow is studied firstly in the presence of thermal radiation, and secondly, in the presence of both thermal radiation and heat generation/absorption. The solutions are obtained by using homotopy perturbation method (HPM) and fourth-order Runge-Kutta with shooting technique (RK4). The flow of nanofluids over a wedge leads to the derivation of the Falkner-Skan equation and this problem have been solved using the optimal homotopy asymptotic method (OHAM). Finally, three issues have been considered for nanofluids past the stretching sheet. Firstly, we considered a problem of flow and heat transfer of nanofluids over a dynamic stretching sheet with non-linear velocity and variable thickness in the presence of Brownian motion and thermal radiation. Secondly, the effect of a chemical reaction is taken into account. These two problems have been investigated using the OHAM and RK4. Lastly, a mathematical model for the effect of chemical reaction in a natural convective boundary-layer flow of nanofluids has been evolved. The HPM with Pade approximation (HPM-Pade) along with RK4 is used to solve the nonlinear governing equations. It is found that the thermal radiation had recorded a significant influence, in which it has been observed that the growing value of the thermal radiation parameter results to the decrease in the temperature profile in the case of squeezing flow problem. Thereby both the thermal boundary layer thickness and temperature profile have substantially risen in the flow and heat transfer over a stretching sheet cases. From the subsequent cases, we also found that the temperature is high due to the increase in both the Brownian motion and the thermophoresis parameters, while the scenario reverses as the nanoparticle concentration only increases with the strengthen thermophoresis parameter and slow down with an increase in the Brownian motion parameter. 2017-04 Thesis http://eprints.uthm.edu.my/736/ http://eprints.uthm.edu.my/736/1/24p%20ABDULLAHI%20MADAKI%20GAMSHA.pdf text en public http://eprints.uthm.edu.my/736/2/ABDULLAHI%20MADAKI%20GAMSHA%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/736/3/ABDULLAHI%20MADAKI%20GAMSHA%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Fakulti Sains Gunaan dan Teknologi
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	TJ836-927 Hydraulic machinery
spellingShingle	TJ836-927 Hydraulic machinery Gamsha, Abdullahi Madaki A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
description	This thesis investigates analytically and numerically the flow and heat transfer of nanofluids: between two infinite parallel plates, over a wedge, and past a stretching sheet. Two problems have been considered for the parallel plates. A mathematical model of squeezing unsteady nanofluid flow is studied firstly in the presence of thermal radiation, and secondly, in the presence of both thermal radiation and heat generation/absorption. The solutions are obtained by using homotopy perturbation method (HPM) and fourth-order Runge-Kutta with shooting technique (RK4). The flow of nanofluids over a wedge leads to the derivation of the Falkner-Skan equation and this problem have been solved using the optimal homotopy asymptotic method (OHAM). Finally, three issues have been considered for nanofluids past the stretching sheet. Firstly, we considered a problem of flow and heat transfer of nanofluids over a dynamic stretching sheet with non-linear velocity and variable thickness in the presence of Brownian motion and thermal radiation. Secondly, the effect of a chemical reaction is taken into account. These two problems have been investigated using the OHAM and RK4. Lastly, a mathematical model for the effect of chemical reaction in a natural convective boundary-layer flow of nanofluids has been evolved. The HPM with Pade approximation (HPM-Pade) along with RK4 is used to solve the nonlinear governing equations. It is found that the thermal radiation had recorded a significant influence, in which it has been observed that the growing value of the thermal radiation parameter results to the decrease in the temperature profile in the case of squeezing flow problem. Thereby both the thermal boundary layer thickness and temperature profile have substantially risen in the flow and heat transfer over a stretching sheet cases. From the subsequent cases, we also found that the temperature is high due to the increase in both the Brownian motion and the thermophoresis parameters, while the scenario reverses as the nanoparticle concentration only increases with the strengthen thermophoresis parameter and slow down with an increase in the Brownian motion parameter.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Gamsha, Abdullahi Madaki
author_facet	Gamsha, Abdullahi Madaki
author_sort	Gamsha, Abdullahi Madaki
title	A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
title_short	A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
title_full	A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
title_fullStr	A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
title_full_unstemmed	A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
title_sort	study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Fakulti Sains Gunaan dan Teknologi
publishDate	2017
url	http://eprints.uthm.edu.my/736/1/24p%20ABDULLAHI%20MADAKI%20GAMSHA.pdf http://eprints.uthm.edu.my/736/2/ABDULLAHI%20MADAKI%20GAMSHA%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/736/3/ABDULLAHI%20MADAKI%20GAMSHA%20WATERMARK.pdf
_version_	1747830670315487232

A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet

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