Non-uniform Heat Source and Radiation Effect on a Transient MHD Flow Past a Vertical Moving Plate with Inclined Magnetic Field and Periodic Heat Flux
An analysis is carried out in order to examine the effects of non-uniform heat source and thermal radiation on the transient free convective MHD flow past a vertical plate. In this model, an inclined magnetic field with periodic heat flux along the wall is included. The governing equations (in non-dimensional shape) are solved numerically by a fully implicit finite difference scheme. A parametric study is performed in order to illustrate the influences of the model dimensionless parameters, namely, the magnetic parameter, the heat source term, the Grashof number, the Prandtl number, and the radiation parameter. The velocity field and the temperature field are evaluated for several amounts of these parameters. The obtained numerical results are compared with the analytical solution in case of constant heat flux with no heat source, and a full agreement was found.
Keywords:free convection, heat source, inclined magnetic field, radiation, periodic heat flux
V. Rajesh, S. V. K. Varma, “Heat source effects on MHD flow past an exponentially accelerated vertical plate with variable temperature through a porous medium”, International Journal of Applied Mathematics and Mechanics, Vol. 6, No. 12, pp. 68-78, 2010
P. R. Shrama, G. Singh, “Steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate”, Tamkang Journal of Science and Engineering, Vol. 13, No. 3, pp. 235-242, 2010
V. Ravikumar, M. C. Raju, G. S. S. Raju, “Heat and mass transfer effects on MHD flow of viscous fluid through non-homogeneous porous medium in presence of temperature dependent heat source”, International Journal of Contemponary Mathematical Sciences, Vol. 7, No. 32, pp. 1597–1604, 2012
R. S. Yadav, P. R. Sharma, “Analysis of MHD convective flow along a moving semi vertical plate with internal heat generation”, International Journal of Engineering Research & Technology, Vol. 3, No. 4, pp. 2342-2348, 2014
P. Mangathai, G. V. R. Reddy, B. R. Reddy, “MHD free convective flow past a vertical porous plate in the presence of radiation and heat generation”, International Journal of Chemical Sciences, Vol. 14, No. 3, pp. 1577-1597, 2016
G. Hazarika, J. Konch, “Effects of variable viscosity and thermal conductivity on magnetohydrodynamic free convection dusty fluid along a vertical porous plate with heat generation”, Turkish Journal of Physics, Vol. 40, No. 1, pp. 52-68, 2016 DOI: https://doi.org/10.3906/fiz-1509-14
P. K. Rout, S. N. Sahoo, G. C. Dash, “Effect of heat source and chemical reaction on MHD flow past a vertical plate with variable temperature”, Journal of Naval Architecture and Marine Engineering, Vol. 13, No. 1, pp. 1813-8235, 2016 DOI: https://doi.org/10.3329/jname.v13i1.23930
U. S. Rajput, M. Shareef, “Unsteady MHD flow past impulsively started vertical plate in porous medium with heat source and chemical reaction”, International Journal of Chemical Sciences, Vol. 15, No. 3, pp.1-13, 2017
J. D. Olisa, “Transient laminar MHD free convective heat transfer past a vertical plate with heat generation”, The International Journal of Engineering and Science, Vol. 6, No. 4, pp. 8-13, 2017 DOI: https://doi.org/10.9790/1813-0604010813
M. V. Krishna, M. G. Reddy, “MHD Free Convective Boundary Layer Flow Through Porous Medium Past a Moving Vertical Plate with Heat Source and Chemical Reaction”, International Conference on Processing of Materials, Minerals and Energy, Andhra Pradesh, India, July 29-30, 2016
J. J. Shu, I. Pop, “Transient conjugate free convection from a vertical flat plate in a porous medium subjected to a sudden change in surface heat flux”, International Journal of Engineering Science, Vol. 36, No. 2, pp. 207-214, 1998 DOI: https://doi.org/10.1016/S0020-7225(97)00040-2
R. C. Chaudhary, M. C. Goyal, A. Jain, “Free convection effects on MHD flow past an infinite vertical accelerated plate embedded in porous media with constant heat flux”, Matematicas: Ensenanza Universitaria, Vol. 17, No. 2, pp.73-82, 2009
M. Narahari, L. Debnath, “Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption”, Journal of Applied Mathematics and Mechanics, Vol. 93, No. 1, pp. 38–49, 2013 DOI: https://doi.org/10.1002/zamm.201200008
R. M. Ramana, J. G. Kumar, “Influence of chemical reaction on unsteady MHD free convective flow past a vertical plate with uniform heat and mass flux through porous medium”, International Journal of Advanced Research in Computer Engineering & Technology, Vol. 5, No. 5, pp. 1400-1407, 2016
M. A. E. Aziz, A. S. Yahya, “Heat and mass transfer of unsteady hydromagnetic free convection flow through porous medium past a vertical plate with uniform surface heat flux”, Journal of Theoretical and Applied Mechanics, Vol. 47, No. 3, pp. 25-58, 2017 DOI: https://doi.org/10.1515/jtam-2017-0013
N. Sandeep, V. Sugunamma, “Effect of inclined magnetic field on unsteady free convective flow of dissipative fluid past a vertical plate”, World Applied Sciences Journal, Vol. 22, No. 7, pp. 975-984, 2013
N. Sandeep, V. Sugunamma, “Radiation inclined magnetic field effects on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate in a porous medium”, Journal of Applied Fluid Mechanics, Vol. 7, No. 2, pp. 275-286, 2014 DOI: https://doi.org/10.36884/jafm.7.02.19431
N. K. Singh, V. Kumar, G. K. Sharma, “The effect of inclined magnetic field on unsteady flow past on moving vertical plate with variable temperature”, International Journal of Latest Technology in Engineering, Management & Applied Science, Vol. 5, No. 2, pp. 34-37, 2016
P. T. Hemamalini, M. Shanthi, “Heat and mass transfer on unsteady MHD flow in tow non-conducting infinite vertical parallel plates with inclined magnetic field”, International Journal of Mechanical Engineering and Technology, Vol. 9, No. 3, pp. 521-536, 2018
G. S. Setha, P. K. Mandal, A. J. Chamkha, “MHD free convective flow past an impulsively moving vertical plate with ramped heat flux through porous medium in the presence of inclined magnetic field”, Frontiers in Heat and Mass Transfer, Vol. 7, No. 23, pp. 1-12, 2016 DOI: https://doi.org/10.5098/hmt.7.23
E. M. Sparrow, R. D. Cess, Radiation Heat Transfer, Augmented Edition, Hemisphere Publishing Corporation, 1978
How to Cite
MetricsAbstract Views: 333
PDF Downloads: 246
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.