FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

(A Peer Review Journal)
e–ISSN: 2408–5162; p–ISSN: 2048–5170

FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

TRANSIENT HEAT TRANSFER OF HYDROMAGNETIC VARIABLE ELECTRIC CONDUCTIVITY JOULE HEATING FLUID PAST A DARCY-FORCHHEIMER POROUS INCLINED CYLINDER MEDIUM
Pages: 101-108
O. K. Onanuga, M. A. C. Chendo and N. E. Erusiafe


keywords: Darcy-forchheimer, heat transfer, hydromagnetic, Joule heating, variable electric conductivity

Abstract

In this study, analysis of transient free convective Joule heating flow of viscous dissipation and radiative heat transfer in an inclined Darcy-forchhemier porous cylinder medium with the constant uniform source or sink and variable electric conductivity is considered. The Rosseland approximation is adopted for the expression of thick radiation heat flux in the heat equation with gray radiating liquid, non-scattering but with absorbing-emitting depending on wavelength. The boundary layer coupled nonlinear governing system of partial differential equations are non-dimensional and solved using unconditionally stable, compatible and convergence implicit finite difference scheme of Crank-Nicolson type. The computational results are obtained and presented graphically to illustrate all the embedded parameters in the transient momentum and energy equations. The flowing liquid and heat transfer characteristics at the plate which are of engineering interest are examined and discussed for the skin-friction coefficient and thermal gradient as shown graphically.

References

Arora KL & Gupta PR 1972. Magnetohydrodynamic flows between two rotating coaxial cylinders under the radial magnetic field. Physics of Fluids, 15(6): 1146-1147. Carnahan B, Luther HA & Wilkes JO 1969. Applied numerical methods, John Wiley Sons, New York. Dulal P & Hiranmoy M 2012. Non-Darcian buoyancy driven heat and mass transfer over a stretching sheet in a porous medium with radiation and Ohmic heating. Int. J. Nonlinear Sci., 14: 115-123. Emerly-Ashly F 1963. The effect of the magnetic field upon the free convection of a conducting fluid. J. Heat Transfer, 85(2): 119-124. Evan LB, Reid RC & Drake EM 1968. Transient natural convection in a vertical cylinder. A. I. Ch. E. J., 14: 251-261. Gao Z, Fang P, Ding M & Jin N 2015. Multivariate weighted complex network analysis for characterizing nonlinear dynamic behavior in two-phase flow. Exp. Therm. Fluid Sci., 60: 157-164. Gao Z, Yang Y, Fang P, Jin N, Xia C & Hu L 2015. Multi-frequency complex network from time series for uncovering oil-water flow structure. Scientific Reports, 5: 8222. Gao Z, Cai Q, Yang Y, Dang W & Zhang S 2016. Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series. Scientific Reports 6: 35622. Gao Z, Yang Y, Zhai L, Ding M & Jin N 2016. Characterizing slug to churn flow transition by using multivariate pseudo-Wigner distribution and multivariate multiscale entropy. Chem. Eng. J., 291: 74-81. Gao Z, Yang Y, Zhai L, Jin N & Chen G 2016. A four-sector conductance method for measuring and characterizing low-velocity oil-water two-phase flows. IEEE Transactions on Instrumentation and Measurement, 65: 1690-1697. Hayat T, Qayyum S, Alsaedi A & Asghar S 2017. Radiation effects on the mixed convection flow induced by an inclined stretching cylinder with non-uniform heat source/sink. PLOS ONE, 12(4): 1 – 23. Hayat T, Qayyum S, Alsaedi A & Shafiq A 2016. Inclined magnetic field and heat source/sink aspects inflow of nanofluid with nonlinear thermal radiation. Int. J. Heat Mass Transfer, 103, 99–107. Hayat T, Qayyum S, Alsaedi A & Waqas M 2016. The radiative flow of tangent hyperbolic fluid with convective conditions and chemical reaction. Eur. Phys. J. Plus, 131: 422. Hossain MA 1988. Simultaneous heat and mass transfer on oscillatory free convection boundary layer flow. Int. J. Energy Res., 12: 205-206. Ismail MN, Mohamadien GF & Umit DG 2012. Finite difference solution of radiation on unsteady free convective magnetohydrodynamic flow past a vertical cylinder with heat and mass transfer. Physics of Flu-dyn, 14: 1-18. Kumari M & Nath G 1999. Development of two-dimensional boundary layer with an applied magnetic field due to the impulsive motion. Indian J. Pure and Appl. Math., 30(7): 695-708. Manyonge WA, Kiema DW & Iyaya CC 2012. Steady MHD poiseuille flow between two infinite parallel porous plates in an inclined magnetic field. Int. J. Pure & Appl. Math., 76(5): 661-668. Periyana GG & Ponnamma HR 2000. Unsteady free convection MHD flow past a vertical cylinder with heat and mass transfer. Int. J. Therm. Sci., 39: 265-272. Rajesh VO, Anwar B & Sridevi CH 2016. Finite difference analysis of unsteady MHD free convective flow over moving semi-infinite vertical cylinder with chemical reaction and temperature oscillation effects. J. Appl. Fluid Mechanics, 9(1): 157-167. Salawu SO & Amoo SA 2016. Magnetohydrodynamics effects on radiative and dissipative heat transfer near a stagnation point with variable viscosity and thermal conductivity, Comp. Info. Systems, 7(4): 51-62. Salawu SO & Fatunmbi EO 2017. Dissipative heat transfer of micropolar hydromagnetic variable electric conductivity fluid past inclined plate with joule heating and non-uniform heat generation. Asian J. Physical & Chem. Sci., 2(1): 1-10. Sheikholeslami M, Ganji DD, Javed MY & Ellahi R 2015. Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of a two-phase model. J Magn. Magn Mater, 374: 36-43. Soundalgekar VM, Lahurikar RM, Pohanerkar SG & Birajdar NS 1994. Effects of mass transfer on the flow past an oscillating infinite vertical plate with constant heat flux. J. Thermophy. & Aeromech., 1: 119-124. Sugunamma V, Sandeep N, Krishna PM & Ramana B 2013. Inclined magnetic field and chemical reaction effects on flow over a semi-infinite vertical porous plate through a porous medium. Communications in Applied Sciences, 1(1): 1-24. Velusamy K & Garg VK 1992. Transient natural convection over a heat generating vertical cylinder. Int. J. Heat Mass Tran., 35: 1293-1306. Zheng L, Zhang C, Zhang X & Zhang J 2013. Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in a porous medium. J. Franklin Inst., 2: 990-1007.

Highlights