The effect of internal heat generation (absorption) and Prandtl number on MHD mixed convection flow from a vertical flat plate
Downloads
Abstract
An investigation is carried out to examine the impacts of internal heat generation (absorption) and Prandtl number on MHD mixed convection boundary layer flow and heat transfer from a vertical flat plate. Proper transformation is used to form a system of coupled non linear partial differential equations for governing both the flow and heat transfer. These conditions have been settled numerically by using an implicit finite difference system called Keller-box method. The present analysis reveals that both velocity and temperature distributions are upsurges as internal heat generation (absorption) parameter increases; henceforth thickness of the thermal and momentum boundary layer increments. The velocity diminishes and temperature increments with the rise in magnetic parameter along the plate surface.
Keywords:
Convection, Heat Generation (Absorption), MHD, Prandtl numberMathematics Subject Classification:
Mathematics- Pages: 1135-1140
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
E. M. Sparrow, R. Eichorn, J. L. Gregg, Combined Forced and Free Convection in Boundary Layer Flow, Physics of Fluids, Vol. 2, No. 3, (1959) pp. 319-328.
J. H. Merkin, The Effects of Buoyancy Forces on the Boundary Layer Flow over Semi-Infinite Vertical Flat Plate in a Uniform Free Stream, Journal of Fluid Mechanics, Vol. 35, No. 3, (1969), pp. 4398-4450.
J. R. Lloyd, E. M. Sparrow, Combined Forced and Free Convection Flow on Vertical Surfaces, International Journal of Heat and Mass Transfer, Vol. 13, No. 2, (1970), pp. 434-438.
G. Wilks, Combined Forced and Free Convective Flow on Vertical Surfaces, International Journal of Heat and Mass Transfer, Vol. 16, No. 10, (1973), pp. 1958-1964.
G. Tingwei, R. Bachrum, M. Dagguent, Influence de la Convective Natural le Sur la Convection Force Andessus D'Une Surface Plane Vertical Voumise a un Flux de Rayonnement, International Journal of Heat and Mass Transfer, Vol. 25, No. 7, (1982), pp. 1061-1065.
M. S. Raju, X. R. Liu, C. K. Law, A Formulation of Combined Forced and Free Convection past Horizontal and Vertical Surfaces, International Journal of Heat and Mass Transfer, Vol. 27, No. 12, (1984), pp. 2215-2224.
A.H Srinivasa, A. T. Eswara ,K R Jayakumar, Unsteady MHD Mixed convection Boundary Layer Flow and Heat Transfer in the Stagnation Region of a Vertical Plate Due to Impulsive Motion. Indian Journal of Mathematics and Mathematical Sciences (IJMMS),5, (2009), pp.17-26.
A. Ishak, Mixed convection boundary layer flow over a horizontal plate with thermal radiation, Heat and Mass Transfer, 46(2), (2009) pp. 147-151.
Sadia Siddiqa, M. A. Hossain, Mixed Convection Boundary Layer Flow over a Vertical Flat Plate with Radiative Heat Transfer, Applied Mathematics , 3, (2012), pp.705716.
Vajravelu, K., Effects of variable properties and internal heat generation on natural convection at a heated vertical plate in air, Numerical Heat Transfer, vol 3, no. 3, (1980),pp. 345-356.
Vajravelu, K., Hadjinicolaou, A, Heat transfer in a viscous fluid over a stretching heat with viscous dissipation and internal heat generation, International Communication of Heat Mass Transfer, 20, (1993), pp.417-430.
Westphalia, B. R., Keiser, D. D., Rigg, R. H., Lang, D. V, Production of metal waste forms from spent nuclear fuel treatment, DOE Spent Nuclear Fuel Conference, Salt Lake City, UT, (1994), pp. 228-294.
Crepeau, J. C. , Clarksean, R. Similarity solutions of natural convection with internal heat generation, Transactions of ASME - Journal of Heat Transfer, vol. 119, (1997), pp. 184-185.
B. Tashtoush, Irbid, and H. M. Duwairi, Amman, Jordan, Transient mixed convection with internal heat generation and oscillating plate temperature, Acta Mechanica,174, $185-199(2005)$
Rafael Cortell and Puertos, Internal heat generation and radiation effects on a certain free convection flow, International Journal of Nonlinear Science, 9(4), (2010), pp. $468-79$.
Olanrewaju, P. O, Arulogun, O. T. Adebimpe, K. , Internal heat generation effect on thermal boundary layer with a convective surface boundary condition, American Journal of Fluid Dynamics, vol. 2, 1, (2012), pp. 1-4.
Md. MamunMolla, Anita Biswas, Abdullah Al-Mamun, Md. Anwar Hossain, Natural Convection Flow along an Isothermal Vertical Flat Plate with Temperature Dependent Viscosity and Heat Generation, Journal of Computational Engineering, Article ID 712147, (2014),13.
A.J. Chamka, H.S.Takhar, G. Nath, Mixed convection flow over a vertical plate with localized heating (cooling), magnetic field and suction (injection),40,(2004), pp 835841 .
R. Nandkeolyar, M. Narayana, S. S. Motsa, P. Sibanda, Magnetohydrodynamic mixed convective flow due to a vertical plate with induced magnetic field, J. Thermal Sci. Eng. Appl, 10(6): 2018. 061005 (11 pages).
O.D. Makinde.P. Sibanda, Magnetohydrodynamic mixed convective flow and heat and mass transfer past a vertical plate in a porous medium with constant wall suction, Article in Journal of Heat Transfer 130(11), 2008, 112602 (8 pages).
K. Bhattacharyya, S. Mukhopadhyay, G.C. Layek MHD boundary layer slip flow and heat transfer over a flat plate Chin. Phys. Lett., 28 (2) (2011), p. 024701.
Rashidi MM, Kavyani N, Abelman S, Uddin MJ, Freidoonimehr N (2014) Double Diffusive Magnetohydrodynamic (MHD) Mixed Convective Slip Flow along a Radiating Moving Vertical Flat Plate with Convective Boundary Condition. PLoS ONE 9(10): e 109404.
R. Nandkeolyar, M. Narayana S. S. Motsa P. Sibanda, Magnetohydrodynamic Mixed Convective Flow Due to A Vertical Plate With Induced Magnetic Field, Journal of Thermal Science and Engineering Applications,(2017).
C K Ajay, A H Srinivasa, Temperature dependent viscosity effects on unsteady MHD accelerating/decelerating flow over a wedge, Int. J. Math. And Appl., 9(1)(2021), 119-126.
Keller H. B., Numerical methods in boundary- layer theory, Ann. Rev. Fluid Mech., 10 (1978), 417-433.
Cebeci T. and Bradshaw P., Momentum Transfer in Boundary Layers, McGraw-Hill, New York, (1977).
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
