JOULE HEATING EFFECT ON MHD FREE CONVECTIVE HEAT ABSORBING/GENERATING VISCOUS DISSIPATIVE NEWTONIAN FLUID WITH VARIABLE TEMPERATURE

A B Madhu Mohana Raju; Srinivasa G

doi:10.29121/granthaalayah.v5.i4RAST.2017.3298

Authors

A B Madhu Mohana Raju Department of Mathematics, New Horizon College of Engineering, Bangalore, India
Dr Srinivasa G Department of Mathematics, New Horizon College of Engineering, Bangalore, India

DOI:

https://doi.org/10.29121/granthaalayah.v5.i4RAST.2017.3298

Keywords:

MHD, Heat Source/Sink, Radiation, Porous Medium, Joule Heating, Viscous Dissipation

Abstract [English]

In the present theoretical study we have examined Joule heating effect of MHD free convective heat absorbing/generating viscous dissipative Newtonian fluid with the consideration of variable temperature. The governing equations related to the problem are solved for velocity, temperature and concentration by using numerical finite difference scheme. The variations in velocity, temperature and concentration under the effects of several physical parameters are studied and represented with the use of graphs. Also we have recorded the numerical values for local skin friction, rate of heat transfer and rate of mass transfer and discussed their characteristics.

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References

M. Ashraf, N Jamel,K Ali, “MHD non – Newtonian micro polar fluid flow and heat transfer in channel with stretching walls”. Appl. Math. Mech. – Engl. Ed., 34 (10), 1263 – 1276 (2013). DOI: https://doi.org/10.1007/s10483-013-1743-7

K.D. Singh,“Viscoelastic mixed convection MHD oscillatory flow through a porous medium filled in a vertical channel”, Int. J. Physical and Mathematical Sciences, 3, pp. 194-205, (2012).

S.Ahmed and A Batin, “Analytical model of MHD mixed convective radiating fluid with viscous dissipative heat”. International Journal of Engineering Science and Technology,2(9), pp. 49024911. (2010)

KD Singh and R Kumar, “An exact solution of an oscillatory MHD flow through a porous medium bounded by rotating porous channel in the presence of Hall current”. Int. J. ofAppl. Math. and Mech., 6, pp. 2840. (2010).

H Kumar, “Radiative heat transfer with MHD free convection flow over a stretching porous sheet in presence of heat source subjected to power law heat flux”. J. Appl. Fluid Mech. 6(4), 563-569. (2013) DOI: https://doi.org/10.36884/jafm.6.04.20669

G.S.R Seth, R. Nandkeolyar, and Md. S. Ansari,“Effect of rotation on unsteady hydro magnetic natural convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium with thermal diffusion and heat absorption”. Int. J. Appl. Math. Mech. 7 (21), 52-69. (2011).

G S Seth, R. Nandkeolyar and M. S. Ansari,“Effects of thermal radiation and rotation on unsteady hydro magnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium”. J. Appl. Fluid Mech. 6(1), 27–38. (2013). DOI: https://doi.org/10.36884/jafm.6.01.19478

G.S Seth, S. and S. Sarkar,“Unsteady hydro magnetic free convection flow past an impulsively moving vertical plate with Newtonian heating”. J. Nature Sci. Sustainable Tech. 8 (1), 83-97. (2014).

GS. Seth, S. Sarkar, S. M. Hussain, and G. K. Mahato,“Effects of hall current and rotation on hydro magnetic natural convection flow with heat and mass transfer of a heat absorbing fluid past an impulsively moving vertical plate with ramped temperature”. J. Appl. Fluid Mech. 8(1), 159-171. (2015)

KD Singh, Khem Chand and Shavnam Sharma,“Heat andMass transfer in an unsteady MHD free convective flow through a porous medium bounded by vertical porous channel.”Int J Math Sci & Engng Appl 6 317-336, (2012)

T. Hayat, M. Awais, and A. Alsaedi, “Newtonian heating andmagneto hydrodynamic effects in flow of a Jeffery fluid overa radially stretching surface,” International Journal of Physical Sciences, vol. 7, pp. 2838–2844, 2012.

F. Ali, I. Khan, S. Ul Haq, and S. Shafie, “Influence of thermal radiation on unsteady free convection MHD flow of Brinkman type fluid in a porous medium with Newtonian heating,”Mathematical Problems in Engineering, vol. 2013, Article ID632394, 13 pages, 2013.

W. A. Khan and A. Aziz, “Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux,”International Journal ofThermal Sciences”, vol. 50,no. 7, pp. 1207–1214, 2011.

A.M. Rohni, S. Ahmadm, I. Pop, J.H. Merkin, “Unsteady mixed convection boundary-layer flow with suction and temperature slip effects near the stagnation point on a vertical permeable surface embedded in a porous medium”, Transp. Porous Med. 92 (2012) 1–14. DOI: https://doi.org/10.1007/s11242-011-9883-x

T.S. Reddy, O.S.P.Reddy, M.C.Raju, S.V.K.Varma,“Heat transfer in hydro magnetic rotating flow of viscous fluid through non-homogeneous porous medium with constant heat source/sink”, International journal of mathematical archive -3 (8), 2012, 2964-2963, ISSN: 2229 5046.

M. C. Raju, S.V.K.Varma, N. AnandaReddy,“MHD Thermal diffusion Natural convection flow between heated inclined plates in porous medium”, Journal on Future Engineering and Technology, Vol.6, No.2, 2011, pp.45-48. DOI: https://doi.org/10.26634/jfet.6.2.1325

N. Ananda Reddy, S. V. K. Varma and M. C. Raju,“Thermo diffusion and chemical effects with simultaneous thermal and mass diffusion in MHD mixed convection flow with Ohmic heating”, Journal of Naval Architecture and Marine Engineering, 6, 2009, 84-93. DOI: https://doi.org/10.3329/jname.v6i2.3761

B. Seshaiah, S.V.K.Varma, M. C. Raju,“The effects of chemical reaction and radiation on unsteady MHD free convective fluid flow embedded in a porous medium with time-dependent suction with temperature gradient heat source”, International Journal of Scientific Knowledge, Vol.3 No.2, 2013, pp. 13-24, 2013.

M Sudheerbabu and P V Satya Narayana,“Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field”, J.P. Journal of Heat and mass transfer, 3, 2009, pp.219-234.

S. S. Das, A. Satapathy, J. K. Das, and J. P. Panda,“Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source”, Int. J. Heat Mass Transfer, 52, 2009, 5962-5969. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2009.04.038

S.R. Mishra, G. C. Dash, M. Acharya,“Mass and heat transfer effect on MHD flow of a visco-elastic fluid through porous medium with oscillatory suction and heat source”, International Journal of Heat and Mass Transfer, 57, 2013, 433-438. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.053

V. Ravi kumar, M. C. Raju, G. S .S. Raju,“Combined effects of Heat absorption and MHD on Convective Rivlin-Ericksen flow past a semi-infinite vertical porous plate with variable temperature and suction”, Ain Shams Engineering Journal, 5 (3), 2014, 867–875. DOI: https://doi.org/10.1016/j.asej.2013.12.014

M. Umamaheswar, S.V.K.Varma and M. C. Raju, Unsteady MHD free convective visco- elastic fluid flow bounded by an infinite inclined porous plate in the presence of heat source, viscous dissipation and Ohmic heating, International journal of advanced science and technology, Vol.61, 2013, pp.39-52. DOI: https://doi.org/10.14257/ijast.2013.61.05

M. Umamaheswar, S.V.K.Varma and M. C. Raju, “Combined radiation and Ohmic heating effects on MHD free convective visco-elastic fluid flow past a porous plate with viscous dissipation”, International journal of current engineering and technology, Vol.3, no.5, 2013, pp. 1636-1640.

O. Turan, J. Lai, R. J. Poole, N. Chakraborty,“Laminar natural convection of power-law fluids in a square enclosure submitted from below to a uniform heat flux density, Journal of Non-Newtonian Fluid Mechanics”, Volume 199, Pages 1-96, 2013, 80-95. DOI: https://doi.org/10.1016/j.jnnfm.2013.06.002