Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation
The analytical solution of non-coaxial rotation for second grade fluid is discussed in this paper. The effect of heat and mass transfer through an oscillating vertical disk is also been considered. The Laplace transform technique is used to obtain the solution of velocity, temperature and concentrat...
Main Authors: | , , , , , |
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Format: | Conference or Workshop Item |
Language: | English |
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Institute of Physics Publishing
2017
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Online Access: | http://umpir.ump.edu.my/id/eprint/19575/1/2017_IOP_Qushairi.pdf |
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author | Ismail, Zulkhibri Mohamad, Ahmad Qushairi Mohd Zin, Nor Athirah Lim, Yeou Jiann Shafie, Sharidan Khan, Ilyas |
author_facet | Ismail, Zulkhibri Mohamad, Ahmad Qushairi Mohd Zin, Nor Athirah Lim, Yeou Jiann Shafie, Sharidan Khan, Ilyas |
author_sort | Ismail, Zulkhibri |
collection | UMP |
description | The analytical solution of non-coaxial rotation for second grade fluid is discussed in this paper. The effect of heat and mass transfer through an oscillating vertical disk is also been considered. The Laplace transform technique is used to obtain the solution of velocity, temperature and concentration profiles. The velocity profiles are obtained in two parts of velocity, there are primary and secondary velocities. All pertinent parameters that involved in these profiles are plotted and analyzed graphically. It is found that, the primary velocity first decreases and then increases whereas the secondary velocity is only increased by increasing second grade parameter. From the observation, the primary velocity is higher compared to the secondary velocity for all parameter studied. The solutions of this problem are satisfied the initial and boundary conditions. |
first_indexed | 2024-03-06T12:19:59Z |
format | Conference or Workshop Item |
id | UMPir19575 |
institution | Universiti Malaysia Pahang |
language | English |
last_indexed | 2024-03-06T12:19:59Z |
publishDate | 2017 |
publisher | Institute of Physics Publishing |
record_format | dspace |
spelling | UMPir195752018-01-18T01:15:51Z http://umpir.ump.edu.my/id/eprint/19575/ Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation Ismail, Zulkhibri Mohamad, Ahmad Qushairi Mohd Zin, Nor Athirah Lim, Yeou Jiann Shafie, Sharidan Khan, Ilyas QA Mathematics The analytical solution of non-coaxial rotation for second grade fluid is discussed in this paper. The effect of heat and mass transfer through an oscillating vertical disk is also been considered. The Laplace transform technique is used to obtain the solution of velocity, temperature and concentration profiles. The velocity profiles are obtained in two parts of velocity, there are primary and secondary velocities. All pertinent parameters that involved in these profiles are plotted and analyzed graphically. It is found that, the primary velocity first decreases and then increases whereas the secondary velocity is only increased by increasing second grade parameter. From the observation, the primary velocity is higher compared to the secondary velocity for all parameter studied. The solutions of this problem are satisfied the initial and boundary conditions. Institute of Physics Publishing 2017 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/19575/1/2017_IOP_Qushairi.pdf Ismail, Zulkhibri and Mohamad, Ahmad Qushairi and Mohd Zin, Nor Athirah and Lim, Yeou Jiann and Shafie, Sharidan and Khan, Ilyas (2017) Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation. In: 1st International Conference on Applied & Industrial Mathematics and Statistics , 8-10 August 2017 , Kuantan, Pahang Malaysia. pp. 1-7., 890 (1). ISSN 17426588 (Published) http://icoaims.ump.edu.my/index.php/en/ 10.1088/1742-6596/890/1/012040 |
spellingShingle | QA Mathematics Ismail, Zulkhibri Mohamad, Ahmad Qushairi Mohd Zin, Nor Athirah Lim, Yeou Jiann Shafie, Sharidan Khan, Ilyas Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title | Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title_full | Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title_fullStr | Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title_full_unstemmed | Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title_short | Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation |
title_sort | analytical solution for unsteady second grade fluid in presence of non coaxial rotation |
topic | QA Mathematics |
url | http://umpir.ump.edu.my/id/eprint/19575/1/2017_IOP_Qushairi.pdf |
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