Magnetohydrodynamic convection flow from a sphere to a non-Darcian porous medium with heat generation or absorption effects: network simulation

International Journal of Thermal Sciences

Volumn 48, Issue 5, 2009, Pages 913-921

  Bég, O Anwar ^a   Zueco, Joaquín ^b   Bhargava, R ^c   Takhar, H S ^d  

^a Engovation Engineering Sciences Research   (United Kingdom)

^b TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^c INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^d MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

Buoyancy; Darcy number; Energy systems; Forchheimer number; Heat sinks and sources; Hydromagnetics; Network numerical solution; Sphere; Thermal convection

Indexed keywords

ABSORPTION; BUOYANCY; DISTRICT HEATING; FLOW SIMULATION; FLUID DYNAMICS; HEAT GENERATION; HEAT SINKS; MAGNETIC FIELDS; MAGNETIC MATERIALS; MAGNETOHYDRODYNAMICS; NATURAL CONVECTION; NUMERICAL ANALYSIS; POROUS MATERIALS; SPHERES; SYSTEMS ENGINEERING; THERMAL CONDUCTIVITY;

DARCY NUMBER; ENERGY SYSTEMS; FORCHHEIMER NUMBER; HYDROMAGNETICS; NETWORK NUMERICAL SOLUTION; THERMAL CONVECTION;

VELOCITY;

EID: 60549083686     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2008.07.002     Document Type: Review

References (32)

1. L.P. Ohare, Manoeuvering a re-entry body via magneto-gasdynamic forces, Ph.D. Thesis Maryland Univ., College Park, Maryland Univ., College Park, April, 1992
2. V.J. Rossow, On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field, Tech. Rep. TN 3971, NACA, South Carolina, USA, 1957
3. R.M. Singer, A study of unsteady convective magnetohydrodynamic channel flow, Argonne National Laboratory report, ANL-6937, November, 1964
4. P.C. Kieffer, Variable conductivity fully developed MHD channel flow, Aerospace Research Laboratories Report, ARL 67-46, USAF, February, 1967
5. Bég O.A., Takhar H.S., Nath G., and Chamkha A.J. Mathematical modelling of hydromagnetic convection from a rotating sphere with impulsive motion and buoyancy effects. Nonlinear Analysis: Modelling and Control 12 1 (2007) 227-245
6. Molla M.A., Taher M.A., Chowdhury M.M.K., and Hossain M.A. Magnetohydrodynamic natural convection flow on a sphere in presence of heat generation. Nonlinear Analysis: Modelling and Control 10 4 (2007) 349-363
7. Kumari M., Takhar H.S., and Nath G. Compressible MHD boundary layer in the stagnation region of a sphere. Int. J. Engineering Science 28 (1990) 357-366
8. Molla M., Hossain M., and Taher M. Magnetohydrodynamic natural convection flow on a sphere with uniform heat flux in presence of heat generation. Acta Mechanica 186 1-4 (2006) 75-86
9. Alam M., Alim M.A., and Chowdhury M.K. Viscous dissipation effects on MHD natural convection flow along a sphere. J. Mechanical Engineering 36 (2006) 44-50
10. Chamkha A.J., and Al-Mudhaf A. Simultaneous heat and mass transfer from a permeable sphere at uniform heat and mass fluxes with magnetic field and radiation effects. Numerical Heat Transfer: Part A-Applications 46 2 (2004) 181-198
11. Takhar H.S., and Nath G. Self-similar solution of the unsteady flow in the stagnation point region of a rotating sphere with a magnetic field. Heat and Mass Transfer 36 2 (2000) 89-96
12. Takhar H.S., Chamkha A.J., and Nath G. Unsteady laminar MHD flow and heat transfer in the stagnation region of an impulsively spinning and translating sphere in the presence of buoyancy forces. Heat and Mass Transfer 37 4 (2001) 397-402
13. Yih K.A. Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation. Int. Comm. Heat Mass Transfer 27 4 (2000) 591-600
14. Damseh R.A. Magnetohydrodynamics-mixed convection from radiate vertical isothermal surface embedded in a saturated porous media. ASME J. Applied Mechanics 73 1 (2006) 54-59
15. Al-Zubi M., and Duwairi H.M. MHD convection over non isothermal ellipse embedded in fluid saturated porous medium. Int. J. Heat Technology 25 2 (2007) 29-35
16. Afify A. Effects of temperature-dependent viscosity with Soret and Dufour numbers on non-Darcy MHD free convective heat and mass transfer past a vertical surface embedded in a porous medium. Transport in Porous Media 66 3 (2007) 391-401
17. Rashad A.M. Influence of radiation on MHD free convection from a vertical flat plate embedded in porous media with thermophoretic deposition of particles. Comm. Nonlinear Science Numerical Simulation 13 10 (2008) 2213-2222
18. EL-Kabeir S.M.M., EL-Hakiem M.A., and Rashad A.M. Lie group analysis of unsteady MHD three dimensional natural convection from an inclined stretching surface in a saturated porous medium. J. Computational Applied Mathematics 213 2 (2008) 582-603
19. Mahdy A., Mohamed R.A., and Hady F.M. Influence of magnetic field on natural convection flow near a wavy cone in porous media. Latin American Applied Research 38 (2008) 155-160
20. Nazar R., Amin N., Grosan T., and Pop I. Free convection boundary layer on an isothermal sphere in a micropolar fluid. Int. Comm. Heat Mass Transfer 29 3 (2002) 377-386
21. Huang M.J., and Chen C.K. Laminar free convection from a sphere with blowing and suction. ASME J. Heat Transfer 109 (1987) 529-532
22. Zueco J., and Alhama F. Inverse estimation of temperature dependent emissivity of solid metals. J. Quantitative Spectroscopy Radiative Transfer 101 (2006) 73-86
23. Zueco J., and Alhama F. Simultaneous inverse determination of the temperature-dependent thermophysical properties of fluids using the network simulation method. Int. J. Heat Mass Transfer 50 (2007) 3234-3243
24. Alhama F., and Zueco J. Application of the lumped model to solids with linearly temperature-dependent thermal conductivity. Applied Mathematical Modelling 31 (2007) 302-310
25. Zueco J. Numerical study of an unsteady free convective magnetohydrodynamic flow of a dissipative fluid along a vertical plate subject to constant heat flux. Int. J. Engineering Science 44 (2006) 1380-1393
26. Zueco J. Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate. Applied Mathematical Modelling 31 9 (2007) 2019-2033
27. Zueco J., Bég O.A., Takhar H.S., Sajid A., and Bhargava R. Transient Couette flow in a rotating non-Darcian porous medium parallel plate configuration: Network simulation method solutions. Acta Mechanica (2008) in press
28. Bég O.A., Zueco J., and Takhar H.S. Unsteady magnetohydrodynamic Hartmann-Couette flow and heat transfer in a Darcian channel with Hall current, ionslip, viscous and Joule heating effects: network numerical solutions. Communications in Nonlinear Science and Numerical Simulation (2008) in press
29. Pspice 6.0. Irvine, California 92718. Microsim Corporation, 20 Fairbanks (1994)
30. Gardner R.A., Uherka K.L., and Lykoudis P.S. Influence of a transverse magnetic field on forced convection liquid metal heat transfer. AIAA Journal 4 (1966) 848-852
31. Bush W.B. The stagnation point boundary layer in the presence of an applied magnetic field. J. Aerospace Sciences 28 8 (1961) 610-611
32. Naroua N., Takhar H.S., Ram P.C., Bég T.A., Bég O.A., and Bhargava R. Transient rotating hydromagnetic partially-ionized heat-generating gas dynamic flow with Hall/ion-slip current effects: finite element analysis. Int. J. Fluid Mechanics Research 34 6 (2007) 493-505