International Scientific Journal


The paper discusses the possibility of active control of flow and heat transfer using a magnetic field and suction in a generalized form. The unsteady temperature two-dimensional laminar magnetohydrodynamic boundary layer of incompressible fluid on a porous body of arbitrary shape is analyzed. Outer electric filed is neglected, magnetic Reynolds number is significantly lower than one i. e. the considered problem is in inductionless approximation. Characteristic properties of fluid are constant and it is assumed that a uniform suction or injection of a fluid, same as the fluid in primary flow, can take place through the body surface. The boundary-layer equations are generalized such that the equations and the boundary conditions are independent of the particular conditions of the problem, and this form is considered as universal. Obtained universal equations are numerically solved using the “progonka” method. Numerical results for the dimensionless velocity, temperature, shear stress and heat transfer as functions of introduced sets of parameters are obtained, displayed graphically and used to carry out general conclusions about the development of temperature magnetohydrodynamic boundary layer. [Projekat Ministartsva nauke Republike Srbije, br. TR 35016]
PAPER REVISED: 2012-05-05
PAPER ACCEPTED: 2012-06-06
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Supplement 2, PAGES [S295 - S309]
  1. Schlichting, H., Boundary Layer Theory, McGraw-Hill, New York, USA, 1979.
  2. Mikhailov, A. Yu., Heat and mass transfer in a magnetic field, Magnetohydrodynamics, 5 (1966), 1, pp. 3-10.
  3. Molokov, S. et al., Magnetohydrodynamics-Historical Evolution and Trends, Springer, Berlin, Germany, 2007.
  4. Lu, H. Y., Lee, C. H., Simulation of three-dimensional nonideal MHD flow at low magnetic Reynolds number, Science China Series E-Technological Sciences, 52 (2009), 12, pp. 3690-3697.
  5. Poggie, J., Gaitonde, D., Magnetic control of flow past a blunt body: Numerical validation and exploration, Physics of Fluids, 14 (2002), 5, pp. 1720-1731.
  6. Shit, G. C., Haldar, R., Thermal radiation and hall effect on MHD flow, heat and mass transfer over an inclined permeable stretching sheet, Thermal Science, 15 (2011), Suppl. 2, pp. S195-S204.
  7. Ishak, A. et al., MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux, Communications in Nonlinear Science and Numerical Simulation, 14 (2009), 1, pp. 109-118.
  8. Abbas, I. A, Palani, G., Effects of magnetohydrodynamic flow past a vertical plate with variable surface temperature, Applied Mathematics and Mechanics (English Edition), 31 (2010), 3, pp. 329-338.
  9. Kulikovskii, A. G., Lyubimov, G. A., Magnitnaya gidrodinamika, Fismatgiz, Moscow, Russia, 1962.
  10. Loicijanski, L. G., Universal equations and parametric approximations in theory of laminar boundarylayer, AN SSSR Applied mathematics and mechanics, 29 (1965), 1, pp. 70-78.
  11. Saljnikov, V. N., A contribution to universal solutions of the boundary-layer theory, Theoretical and Applied Mechanics, 4 (1978), pp.139-163.
  12. Busmarin, O. N., Saraev, V. Yu., Parametric method in theory of unsteady boundary-layer, Journal of Engineering Physics and Thermophysics, 27 (1974), 1, pp.871-876
  13. Boricic, Z. et al., Universal solutions of unsteady two-dimensional MHD boundary layer on the body with temperature gradient along surface, WSEAS Transactions on Fluid Mechanics, 4 (2009), 3, pp. 97- 106.
  14. Obrovic, B. et al., Boundary-layer of dissociated gas on bodies of revolution of a porous contour, Strojniski vestnik - Journal of Mechanical Engineering, 55 (2009), 4, pp. 244-253.
  15. Nikodijevic, D. et al., Parametric method for unsteady two-dimensional MHD boundary-layer on a body for which temperature varies with time, Archives of Mechanics, 63 (2011), 1, pp. 57-76

© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence