Engineering Transactions, 65, 3, pp. 461–481, 2017

Simultaneous Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Pulsatile Flow of a Casson Fluid in a Porous Space

Challa Kalyan KUMAR
Narayana Engineering College

Suripeddi SRINIVAS
VIT-AP University, Inavolu Village

In the present study, the hydromagnetic pulsating flow of Casson fluid between two parallel plates in a porous space, thermal radiation and chemical reaction are investigated. The analytical solutions for flow variables are obtained by using a perturbation technique. The effects of pertinent parameters on velocity, temperature, concentration, Nusselt number and Sherwood number distributions are studied in detail.
Keywords: Casson fluid; porous space; chemical reaction; Soret number; Hartmann number
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Eldabe N.T.M., Moatimid G.M., Ali H.S., Magnetohydrodynamic flow of non-Newtonian viscoelastic fluid through a porous medium near an accelerated plate, Candian Journal of Physics, 81(11): 1249–1269, 2003.

Hameed M., Nadeem S., Unsteady MHD flow of a non-Newtonian fluid on a porous plate, Journal of Mathematical Analysis and Applications, 325(1): 724–733, 2007.

Nadeem S., Ul-Haq R., Akbar N.S., Khan Z.H., MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet, Alexandria Engineering Journal, 52(4): 577–582, 2013.

Misra J.C., Shit G.C., Chandra S., Kundu P.K., Hydromagnetic flow and heat transfer of a second-grade viscoelastic fluid in a channel with oscillatory stretching walls: application to the dynamics of blood flow, Journal of Engineering Mathematics, 69(1): 91–100, 2011.

Rosca A.V., Pop I., Flow and heat transfer of Powell-Eyring fluid over a shrinking surface in a parallel free stream, International Journal of Heat and Mass Transfer, 71: 321–327, 2014.

Wenchang T., Wenxiao P., Mingyu X., A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates, International Journal of Non-Linear Mechanics, 38(5): 645–650, 2003.

Khan U., Ahmed N., Khan S.I., Bano S., Mohyud-Din S.T., Unsteady squeezing flow of a Casson fluid between parallel plates, World Journal of Modelling and Simulation, 10(4): 308–319, 2014.

Attia H.A., Sayed-Ahmed M.E., Transient MHD Couette flow of a Casson fluid between parallel plates with heat transfer, Italian Journal of Pure and Applied Mathematics, 27−2010: 19−38, 2010,

Chiu-On Ng, Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel, Journal of Non-Newtonian Fluid Mechanics, 198: 1–9, 2013.

Hayat T., Farooq M., Iqbal Z., Stretched flow of Casson fluid with variable thermal conductivity, Walailak Journal of Science and Technology, 10(2): 181–190, 2013.

Nadeem S., Haq R., Lee C., MHD flow of a Casson fluid over an exponentially shrinking sheet, Scientia Iranica B, 19(6): 1550–1553, 2012.

Srinivas S., Malathy T., Sachdev P.L., On pulsatile hydromagnetic flow of an Oldroyd fluid with heat transfer, Engineering Transactions, 55(1): 79–94, 2007.

Malathy T., Srinivas S., Pulsating flow of hydromagnetic fluid between permeable beds, International Communications in Heat and Mass Transfer, 35(5): 681–688, 2008.

Wang C.Y., Pulsatile flow in a porous channel, Journal of Applied Mechanics, 38(2): 553–555, 1971.

Radhakrishnamacharya G., Maiti M.K., Heat transfer to pulsatile flow in a porous channel, International Journal of Heat and Mass Transfer, 20(2): 171–173, 1977.

Siddiqui S.U., Gupta R.S., Verma N.K., Mishra S., Mathematical modelling of pulsatile flow of Casson’s fluid in arterial stenosis, Applied Mathematics and Computations, 210: 1–10, 2009.

Shit G.C., Roy M., Pulsatile flow and heat transfer of magneto-micropolar fluid through a stenosed artery under the influence of body acceleration, Journal of Mechanics in Medicine and Biology, 11(3): 643–661, 2011.

Shawky H.M., Pulsatile flow with heat transfer of dusty magnetohydrodynamic Ree-Eyring fluid through channel, Heat and Mass Transfer, 45(10): 1261–1269, 2009.

Brewster M.Q., Thermal radiative transfer and properties, Wiley, New York, 1992.

T. Hayat, R. Sajjad, Z. Abbas, M. Sajjad, A.A. Hendi, Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium, International Journal of Heat and Mass Transfer, 54(4): 854–862, 2011.

Srinivas S., Shukla A.K., Ramamohan T.R., Reddy A.S., Influence of thermal radiation on unsteady flow over an expanding or contracting cylinder with thermal-diffusion and diffusion-thermo effects, Journal of Aerospace Engineering, 28(5): 04014134–10, 2015.

Pal D., Vajravelu K., Mandal G., Convective-radiation effects on stagnation point flow of nanofluids over a stretching/shrinking surface with viscous dissipation, Journal of Mechanics, 30(3): 289–297, 2014.

Mustafa M., Mushtaq A., Hayat T., Alsaedi A., Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet, Journal of the Taiwan Institute of Chemical Engineers, 47: 43–49, 2015.

Hossain M.A., Alim M.A., Rees D.A.S., The effect of radiation on free convection from a porous vertical plate, International Journal of Heat and Mass Transfer, 42(1): 181–191, 1999.

Raptis A., Perdikis C., Takhar H.S., Effect of thermal radiation on MHD flow, Applied Mathematics and Computation, 153(3): 645–649, 2004.

Mukhopadhyay S., Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing, Chinese Physics B, 22(11): 114702–7, 2013.

Makanda G., Shaw S., Sibanda P., Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation, Boundary Value Problems, 2015, doi: 10.1186/s13661-015-0333-5

Muthuraj R., Srinivas S., A note on heat transfer to MHD oscillatory flow in an asymmetric wavy channel, International Communications in Heat and Mass Transfer, 37(9): 1255–1260, 2010.

Bridges C., Rajagopal K.R., Pulsatile flow of a chemically-reacting nonlinear fluid, Computers & Mathematics with Applications, 52(6–7): 1131–1144, 2006.

Hayat T., Abbas Z., Channel flow of a Maxwell fluid with chemical reaction, Zeitschrift fur Angewandte Mathematik und Physik, 59(1): 124–144, 2008.

Hayat T., Mustafa M., Asghar S., Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction, Nonlinear Analysis: Real World Applications, 11(4): 3186–3197, 2010.

Vajravelu K., Prasad K.V., Prasanna Rao N.S., Diffusion of a chemically reactive species of a power-law fluid past a stretching surface, Computers & Mathematics with Applications, 62(1): 93–108, 2011.

Das U.N., Deka R.K., Soundalgekar V.M., Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen, 60(10): 284–287, 1994.

Nabil E.T.M., Elsaka A.G., Radwan A.E., Magdy A.M.E., Effects of chemical reaction and heat radiation on the MHD flow of vicoelastic fluid through a porous medium over a horizontal stretching flat plate, Journal of American Science, 6(9): 126–136, 2010.

Shehzad S.A., Hayat T., Qasim M., Asghar S., Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction, Brazilian Journal of Chemical Engineering, 30(1): 187–195, 2013.

Srinivas S., Malathy T., Reddy A.S., A note on thermal-diffusion and chemical reaction effects on MHD pulsating flow in a porous channel with slip and convective boundary conditions, Journal of King Saud University– Engineering Sciences, 28(2): 213–221, 2016.

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