The heat generation/absorption and thermo-diffusion on an unsteady free convective MHD flow of radiating and chemically reactive second grade fluid near an infinite vertical plate through a porous medium and taking the Hall current into account have been studied. Assume that the bounding plate has a ramped temperature with a ramped surface concentration and isothermal temperature with a ramped surface concentration. The analytical solutions for the governing equations are obtained by making use of the Laplace transforms technique. The velocity, temperature, and concentration profiles are discussed through graphs. We also found that velocity, temperature, and concentration profiles in the case of ramped temperature with ramped surface concentrations are less than those of isothermal temperature with ramped surface concentrations. Also, the expressions of the skin friction, Nusselt number, and Sherwood number are obtained and represented computationally through a tabular form.
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Research Article|
May 04 2018
Hall effects on unsteady MHD flow of second grade fluid through porous medium with ramped wall temperature and ramped surface concentration
M. VeeraKrishna;
M. VeeraKrishna
a)
1
Department of Mathematics, Rayalaseema University
, Kurnool, Andhra Pradesh 518007, India
a)Author to whom correspondence should be addressed: veerakrishna_maths@yahoo.com
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Ali J. Chamkha
Ali J. Chamkha
b)
2
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University
, Al-Khobar 31952, Kingdom of Saudi Arabia
3
RAK Research and Innovation Center, American University of Ras Al Khaimah
, Ras Al Khaimah 10021, United Arab Emirates
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a)Author to whom correspondence should be addressed: veerakrishna_maths@yahoo.com
b)
Email: achamkha@pmu.edu.sa
Physics of Fluids 30, 053101 (2018)
Article history
Received:
February 10 2018
Accepted:
April 12 2018
Citation
M. VeeraKrishna, Ali J. Chamkha; Hall effects on unsteady MHD flow of second grade fluid through porous medium with ramped wall temperature and ramped surface concentration. Physics of Fluids 1 May 2018; 30 (5): 053101. https://doi.org/10.1063/1.5025542
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