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Title: The effects of magnetohydrodynamic and radiation on flow of second grade fluid past an infinite inclined plate in porous medium

Abstract

An analysis of the exact solutions of second grade fluid problem for unsteady magnetohydrodynamic (MHD) flows past an infinite inclined plate in a porous medium is presented. It is assumed that the bounding infinite inclined plate has a constant temperature with radiation effects. Based on Boussinesq approximation the expressions for dimensionless velocity, temperature and concentration are obtained by using Laplace transform method. The derived solutions satisfying the involved differential equations, and all the boundary and initial conditions. The influence of various parameters on the velocity has been illustrated graphically and analyzed.

Authors:
 [1];  [2]; ; ; ;  [3]
  1. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor (Malaysia)
  2. College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952 (Saudi Arabia)
  3. Faculty of Industrial Science and Technology, Universiti Malaysia Pahang, 26300 Kuantan, Pahang (Malaysia)
Publication Date:
OSTI Identifier:
22390949
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1643; Journal Issue: 1; Conference: 2. ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, Pahang (Malaysia), 12-14 Aug 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; CONCENTRATION RATIO; DIFFERENTIAL EQUATIONS; EXACT SOLUTIONS; FLUIDS; LAPLACE TRANSFORMATION; MAGNETOHYDRODYNAMICS; POROUS MATERIALS; RADIATION EFFECTS; VELOCITY

Citation Formats

Ismail, Zulkhibri, Khan, Ilyas, Nasir, Nadirah Mohd, Awang, Rahimah Jusoh, Salleh, Mohd Zuki, and Shafie, Sharidan. The effects of magnetohydrodynamic and radiation on flow of second grade fluid past an infinite inclined plate in porous medium. United States: N. p., 2015. Web. doi:10.1063/1.4907495.
Ismail, Zulkhibri, Khan, Ilyas, Nasir, Nadirah Mohd, Awang, Rahimah Jusoh, Salleh, Mohd Zuki, & Shafie, Sharidan. The effects of magnetohydrodynamic and radiation on flow of second grade fluid past an infinite inclined plate in porous medium. United States. doi:10.1063/1.4907495.
Ismail, Zulkhibri, Khan, Ilyas, Nasir, Nadirah Mohd, Awang, Rahimah Jusoh, Salleh, Mohd Zuki, and Shafie, Sharidan. Tue . "The effects of magnetohydrodynamic and radiation on flow of second grade fluid past an infinite inclined plate in porous medium". United States. doi:10.1063/1.4907495.
@article{osti_22390949,
title = {The effects of magnetohydrodynamic and radiation on flow of second grade fluid past an infinite inclined plate in porous medium},
author = {Ismail, Zulkhibri and Khan, Ilyas and Nasir, Nadirah Mohd and Awang, Rahimah Jusoh and Salleh, Mohd Zuki and Shafie, Sharidan},
abstractNote = {An analysis of the exact solutions of second grade fluid problem for unsteady magnetohydrodynamic (MHD) flows past an infinite inclined plate in a porous medium is presented. It is assumed that the bounding infinite inclined plate has a constant temperature with radiation effects. Based on Boussinesq approximation the expressions for dimensionless velocity, temperature and concentration are obtained by using Laplace transform method. The derived solutions satisfying the involved differential equations, and all the boundary and initial conditions. The influence of various parameters on the velocity has been illustrated graphically and analyzed.},
doi = {10.1063/1.4907495},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1643,
place = {United States},
year = {Tue Feb 03 00:00:00 EST 2015},
month = {Tue Feb 03 00:00:00 EST 2015}
}