Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

Volumes:
Volume 24, 2021 Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i9.20
pages 795-809

CLOSED-FORM SOLUTIONS FOR UNSTEADY MAGNETOHYDRODYNAMIC FLOWIN A POROUS MEDIUM WITH WALL TRANSPIRATION

Mohammed Abdulhameed
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310, Skudai, Malaysia
Ilyas Khan
Ton Duc Thang University
Arshad Khan
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310, Skudai, Malaysia; Department of Computer Science/IT Sarhad University of Science & IT, Peshawar Khyber Pakhtunkhwa Pakistan
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia

RESUMO

This problem deals with an unsteady two-dimensional magnetohydrodynamic flow of incompressible viscous fluid over a flat plate with wall transpiration embedded in a porous medium. Exact solutions corresponding to the Stokes first and second problems are obtained using an extended separation of variable technique together with the similarity arguments. The corresponding starting solutions are presented as the sum of steady state and transient solutions. Further, it is found that for small time t the difference between the steady state and the transient solutions is significant. However, for large values of t, both of these solutions become identical. These solutions do not involve any unevaluated integral and are expressed in terms of exponential and complementary error functions. Effects of the material parameters on the velocity fields are investigated by plotting the graphs. The nature of the wall shear stress engendered due to the flow is also studied by presenting the results in graphical and tabular forms. Some well-known and fundamental solutions existing in the literature are also obtained as the limiting cases of our solutions.


Articles with similar content:

UNSTEADY VISCOUS FLOW AND HEAT TRANSFER OVER A PERMEABLE STRETCHING SHEET: CASE OF HEAT FLUX
Special Topics & Reviews in Porous Media: An International Journal, Vol.2, 2011, issue 1
Ioan Pop, Waqar Khan
HEAT TRANSFER ANALYSIS IN MHD FLOW OF CASSON FLUID OVER A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM WITH ARBITRARY WALL SHEAR STRESS
Journal of Porous Media, Vol.21, 2018, issue 8
Asim Khan, Ilyas Khan, Sharidan Shafie, Arshad Khan
Unsteady Hydrodynamic Flow Induced by a Porous Plate in a Rotating System
International Journal of Fluid Mechanics Research, Vol.36, 2009, issue 4
Mrinmoy Guria, S. Das, Rabindra N. Jana
HEAT TRANSFER IN UNSTEADY MAGNETOHYDRODYNAMIC FLOW OF FOURTH-GRADE FLUID THROUGH A POROUS MEDIUM BETWEEN TWO INFINITE PARALLEL PLATES WITH TIME DEPENDENT SUCTION
Special Topics & Reviews in Porous Media: An International Journal, Vol.11, 2020, issue 3
S. Panda, K. P. Priyadarsan
Few Exact Solutions of Non-Newtonian Fluid in Porous Medium with Hall Effect
Journal of Porous Media, Vol.11, 2008, issue 7
S. Islam, Muhammad Raheel Mohyuddin, Chaoying Zhou