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...

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Main Authors: Ismail, Zulkhibri, Mohamad, Ahmad Qushairi, Mohd Zin, Nor Athirah, Lim, Yeou Jiann, Shafie, Sharidan, Khan, Ilyas
Format: Conference or Workshop Item
Language:English
Published: Institute of Physics Publishing 2017
Subjects:
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.
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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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