Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet

Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet

The problem of boundary layer flow has many applications in industries and engineering field. Some of these applications are drawing of plastic films, glass fiber production, hot rolling and many others in industrial manufacturing processes. The final product characteristics requested depends on th...

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Main Author: Sayed Qasim, Alavi
Format: Thesis
Language:English
English
English
Published: 2015
Subjects:
Q Science (General)
TA Engineering (General). Civil engineering (General)
Online Access:http://umpir.ump.edu.my/id/eprint/12994/
http://umpir.ump.edu.my/id/eprint/12994/
http://umpir.ump.edu.my/id/eprint/12994/1/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619.pdf
http://umpir.ump.edu.my/id/eprint/12994/7/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%201.pdf
http://umpir.ump.edu.my/id/eprint/12994/8/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%203.pdf
id ump-12994
recordtype eprints
spelling ump-129942016-04-25T08:07:13Z http://umpir.ump.edu.my/id/eprint/12994/ Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet Sayed Qasim, Alavi Q Science (General) TA Engineering (General). Civil engineering (General) The problem of boundary layer flow has many applications in industries and engineering field. Some of these applications are drawing of plastic films, glass fiber production, hot rolling and many others in industrial manufacturing processes. The final product characteristics requested depends on the cooling liquid used and the rate of stretching. Four common boundary conditions are used in modelling of convective boundary layer flow problems, which are constant or prescribed wall temperature, constant or prescribed surface heat flux, Newtonian heating and convective boundary conditions. In this thesis, the mathematical modelling for the effects of radiation and MHD on stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet is investigated. In this study, the governing boundary layer equations are first transformed using an appropriate similarity transformation, which are then solved numerically by using Keller-box method. MATLAB software is used as a tool in order to obtain the numerical solution. Five parameters are investigated in this problem, which are Prandtl number Pr, velocity ratio parameter E, conjugate parameter Y, magnetic parameter M and thermal radiation parameter R N . In conclusion, there are dual solution when velocity ratio parameter E satisfies -1.487068<E<-0.9734, unique solution for E>-0.9734 and no solution exist for E < -1.487068 . To get a physically acceptable value in second solution, the value of Prandtl number Pr must be smaller than a critical value Prc . It depends on conjugate parameter Y . While, the values of conjugate parameter Y must be greater than some critical values Yc which also depends on the Prandtl number Pr. Furthermore, increasing values of Prandtl number Pr and velocity ratio parameter E has led to decrease in temperature profile while the increasing in radiation parameter R N and magnetic parameter M has enhanced the temperature profiles. 2015-10 Thesis NonPeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/12994/1/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/12994/7/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%201.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/12994/8/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%203.pdf Sayed Qasim, Alavi (2015) Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet. Masters thesis, Universiti Malaysia Pahang. http://iportal.ump.edu.my/lib/item?id=chamo:94287&theme=UMP2
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
English
English
topic Q Science (General)
TA Engineering (General). Civil engineering (General)
spellingShingle Q Science (General)
TA Engineering (General). Civil engineering (General)
Sayed Qasim, Alavi
Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
description The problem of boundary layer flow has many applications in industries and engineering field. Some of these applications are drawing of plastic films, glass fiber production, hot rolling and many others in industrial manufacturing processes. The final product characteristics requested depends on the cooling liquid used and the rate of stretching. Four common boundary conditions are used in modelling of convective boundary layer flow problems, which are constant or prescribed wall temperature, constant or prescribed surface heat flux, Newtonian heating and convective boundary conditions. In this thesis, the mathematical modelling for the effects of radiation and MHD on stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet is investigated. In this study, the governing boundary layer equations are first transformed using an appropriate similarity transformation, which are then solved numerically by using Keller-box method. MATLAB software is used as a tool in order to obtain the numerical solution. Five parameters are investigated in this problem, which are Prandtl number Pr, velocity ratio parameter E, conjugate parameter Y, magnetic parameter M and thermal radiation parameter R N . In conclusion, there are dual solution when velocity ratio parameter E satisfies -1.487068<E<-0.9734, unique solution for E>-0.9734 and no solution exist for E < -1.487068 . To get a physically acceptable value in second solution, the value of Prandtl number Pr must be smaller than a critical value Prc . It depends on conjugate parameter Y . While, the values of conjugate parameter Y must be greater than some critical values Yc which also depends on the Prandtl number Pr. Furthermore, increasing values of Prandtl number Pr and velocity ratio parameter E has led to decrease in temperature profile while the increasing in radiation parameter R N and magnetic parameter M has enhanced the temperature profiles.
format Thesis
author Sayed Qasim, Alavi
author_facet Sayed Qasim, Alavi
author_sort Sayed Qasim, Alavi
title Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
title_short Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
title_full Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
title_fullStr Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
title_full_unstemmed Boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
title_sort boundary layer stagnation point flow towards an exponentially stretching/shrinking sheet
publishDate 2015
url http://umpir.ump.edu.my/id/eprint/12994/
http://umpir.ump.edu.my/id/eprint/12994/
http://umpir.ump.edu.my/id/eprint/12994/1/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619.pdf
http://umpir.ump.edu.my/id/eprint/12994/7/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%201.pdf
http://umpir.ump.edu.my/id/eprint/12994/8/FIST%20-%20SAYED%20QASIM%20ALAVI%20-%20CD%209619%20-%20CHAP%203.pdf
first_indexed 2023-09-18T22:15:07Z
last_indexed 2023-09-18T22:15:07Z
_version_ 1777415285253341184

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