An exact solution to the problem of a magnetohydrodynamic viscous, incompressible free convective flow of an electrically conducting, Newtonian non-Gray fluid past a suddenly started infinite vertical plate with ramped wall temperature in presence of appreciable radiation heat transfer and uniform transverse magnetic field is presented. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydromagnetic effects. The resulting system of the equations governing the flow is solved by adopting Laplace Transform technique in closed form. Detailed computations of the influence of Hartmann number, radiation conduction parameter Q, Reynolds number Re and time t on the variations in the fluid velocity, fluid temperature, and skin friction and Nusselt number at the plate are demonstrated graphically. The results show that the imposition of the transverse magnetic field retards the fluid motion and causes the viscous drag at the plate to fall. The investigation simulates that the fluid temperature drops and the rate of heat transfer from the plate to the fluid gets increased for increasing Reynolds number.
Skip Nav Destination
Gauhati University Institute of Science
and Technology,
e-mail: saheel_nazib@yahoo.com
Gauhati University Institute of Science
and Technology,
e-mail: manasdutta@gmail.com
Article navigation
Research-Article
Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature
N. Ahmed,
Gauhati University Institute of Science
and Technology,
e-mail: saheel_nazib@yahoo.com
N. Ahmed
1
Department of Mathematics
,Gauhati University Institute of Science
and Technology,
Guwahati 781014
, Assam, India
e-mail: saheel_nazib@yahoo.com
1Corresponding author.
Search for other works by this author on:
M. Dutta
Gauhati University Institute of Science
and Technology,
e-mail: manasdutta@gmail.com
M. Dutta
Department of Mathematics
,Gauhati University Institute of Science
and Technology,
Guwahati 781014, Assam
, India
e-mail: manasdutta@gmail.com
Search for other works by this author on:
N. Ahmed
Department of Mathematics
,Gauhati University Institute of Science
and Technology,
Guwahati 781014
, Assam, India
e-mail: saheel_nazib@yahoo.com
M. Dutta
Department of Mathematics
,Gauhati University Institute of Science
and Technology,
Guwahati 781014, Assam
, India
e-mail: manasdutta@gmail.com
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 24, 2012; final manuscript received November 13, 2013; published online January 31, 2014. Assoc. Editor: He-Ping Tan.
J. Heat Transfer. Apr 2014, 136(4): 041703 (8 pages)
Published Online: January 31, 2014
Article history
Received:
August 24, 2012
Revision Received:
November 13, 2013
Citation
Ahmed, N., and Dutta, M. (January 31, 2014). "Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature." ASME. J. Heat Transfer. April 2014; 136(4): 041703. https://doi.org/10.1115/1.4026052
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Magnetohydrodynamics Free Convection Flow of a Radiating and Chemically Reacting Fluid Past an Impulsively Moving Plate With Ramped Wall Temperature
J. Appl. Mech (November,2012)
Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate
J. Heat Transfer (June,2012)
Effect of Porous Medium in Stagnation Point Flow of Ferrofluid Due to a Variable Convected Thicked Sheet
J. Heat Transfer (November,2019)
Related Proceedings Papers
Related Chapters
Radiation
Thermal Management of Microelectronic Equipment
Radiation
Thermal Management of Microelectronic Equipment, Second Edition
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics