Network numerical analysis of optically thick hydromagnetic slip flow from a porous spinning disk with radiation flux, variable thermophysical properties, and surface injection effects

Chemical Engineering Communications

Volumn 198, Issue 3, 2011, Pages 360-384

  Bég, O Anwar ^a   Zueco, J ^b   Lopez Ochoa L M ^c  

^a SHEFFIELD HALLAM UNIVERSITY   (United Kingdom)

^b TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^c UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

Chemical engineering flow control; Heat transfer; Injection; Magnetohydrodynamics; Network simulation method (NSM); Rosseland model; Slip; Spinning disk; Thermal radiation

Indexed keywords

INJECTION; NETWORK SIMULATION METHOD; ROSSELAND MODEL; SLIP; SPINNING DISKS; THERMAL RADIATIONS;

BOUNDARY CONDITIONS; CHEMICAL ENGINEERING; COMPUTER CONTROL SYSTEMS; COOLING SYSTEMS; DIGITAL STORAGE; DISKS (STRUCTURAL COMPONENTS); FLOW CONTROL; HEAT RADIATION; INCOMPRESSIBLE FLOW; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; RADIATION EFFECTS; THERMODYNAMIC PROPERTIES; TURBOMACHINE BLADES;

FLOW SIMULATION;

EID: 78649599337     PISSN: 00986445     EISSN: 15635201     Source Type: Journal    
DOI: 10.1080/00986445.2010.512543     Document Type: Article

References (52)

1. Ali, M. M., Chen, T. S., and Armaly, B. F. (1984). Natural convection-radiation interaction in boundary-layer flow over horizontal surfaces, AIAA J., 22(12), 1797-1803.
2. Andersson, H. I., and Rousselet, M. (2006). Slip flow over a lubricated rotating disk, Int. J. Heat Fluid Flow, 27(2), 329-335.
3. Ariel, P. D. (2002). On computation of MHD flow near a rotating disk, Z. Angew. Math. Mech., 82(4), 235-246.
4. Arikoglu, A., and Ozkol, I. (2006). On the MHD and slip flow over a rotating disk with heat transfer, Int. J. Numer. Methods Heat Fluid Flow, 28(2), 172-184.
5. Attia, H. A., and Aboul-Hassan, A. L. (2001). Effect of Hall current on the unsteady MHD flow due to a rotating disk with uniform suction or injection, Appl. Math. Model., 25(12), 1089-1098.
6. Bég, O. A., Zueco, J., Bég, T. A., Takhar, H. S., and Kahya, E. (2009a). NSM analysis of time-dependent nonlinear buoyancy-driven double-diffusive radiative convection flow in non-Darcy geological porous media, Acta Mech., 202, 181-204.
7. Bég, O. A., Zueco, J., Bhargava, R., and Takhar, H. S. (2009b). Magnetohydrodynamic convection flow from a sphere to a non-Darcian porous medium with heat generation or absorption effects: Network simulation, Int. J. Therm. Sci., 48(5), 913-921.
8. Bessaih, R., Marty, P., and Kadja, M. (1999). Numerical study of disk driven rotating MHD flow of a liquid metal in a cylindrical enclosure, Acta Mech., 135(3-4), 153-167.
9. Bestman, A. R., and Adjepong, S. K. (1988). Unsteady hydromagnetic free-convection flow with radiative heat transfer in a rotating fluid of arbitrary optical thickness, III, Astrophys. Space Sci. J., 143(2), 225-232.
10. Borkakati, A. K., and Bharali, A. (1979). Heat transfer in a hydromagnetic flow between two porous disks-One rotating and other at rest, under uniform suction, Appl. Sci. Res., 35(2-3), 161-175.
11. Brewster, M. Q. (1988). Radiation-stagnation flow model of solid rocket motor internal insulator heat transfer, paper presented at 26th Aerospace Sciences Meeting, Reno, Nevada, USA, January 11-14.
12. Chamkha, A. J., and Al-Mudhaf, A. (2005). Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects, Int. J. Therm. Sci., 44(3), 267-276.
13. Chandrasekar, A., and Nath, G. (1986). Time dependent rotational flow of a viscous fluid over an infinite porous disk with a magnetic field, Int. J. Eng. Sci., 24(10), 1667-1680.
14. Chiu, H.-C., Jang, J.-H., and Yan, W.-M. (2007). Combined mixed convection and radiation heat transfer in rectangular ducts rotating about a parallel axis, Int. J. Heat Mass Transfer, 50(21-22), 4229-4242.
15. Dimian, M. F., and Essawy, A. H. (2000). Magnetic field effects on mixed convection between rotating coaxial disks, J. Eng. Phys. Thermophys., 73(5), 1082-1091.
16. D'Sa, E. R. (1970). Flow due to a body spinning in rotating fluid at large Hartmann numbers, Z. Angew. Math. Phys., 21(5), 768-779.
17. Frusteri, F., and Osalusi, E. (2007). On MHD and slip flow over a rotating porous disk with variable properties, Int. Commun. Heat Mass Transfer, 34(4), 492-501.
18. Gad-el-Hak, M. (1999). The fluid mechanics of microdevices: The Freeman Scholar Lecture, J. Fluids Eng., 121, 5-33.
19. Ghosh, S. K., Bég, O. A., Zueco, J., and Prasad, V. R. (2010). Transient hydromagnetic flow in a rotating channel permeated by an inclined magnetic field with magnetic induction and Maxwell displacement current effects, Z. Angew. Math. Phys., 61, 147-169.
20. Holmes, A. M., Wang, X., Ma, N., Bliss, D. F., and Iseler, G. W. (2005). Vertical gradient freezing using submerged heater growth with rotation and with weak magnetic and electric fields, Int. J. Heat Fluid Flow, 26(5), 792-800.
21. Hossain, M. A., and Takhar, H. S. (1997). Radiation-conduction interaction in mixed convection on rotating bodies, Heat Mass Transfer, 33, 201-208.
22. Hossain, M. A., Hossain, A., and Wilson, M. (2001). Unsteady flow of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in presence of transverse magnetic field and heat transfer, Int. J. Therm. Sci., 40(1), 11-20.
23. Kumar, S. K., Thacker, W. I., and Watson, L. T. (1988). Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk, Comput. Fluids, 16(2), 183-193.
24. Kumari, M., and Nath, G. (2004). Unsteady MHD film flow over a rotating infinite disk, Int. J. Eng. Sci., 42(11-12), 1099-1117.
25. Kumari, M., Takhar, H. S., and Nath, G. (1993). Non-axisymmetric unsteady motion over a rotating disk in the presence of free convection and magnetic field, Int. J. Eng. Sci., 31(12), 1659-1668.
26. Maleque, K. A., and Sattar, A. (2005a). The effects of variable properties and Hall current on steady MHD laminar convective fluid flow due to a porous rotating disk, Int. J. Heat Mass Transfer, 48(23-24), 4963-4972.
27. Maleque, K. A., and Sattar, A. (2005b). Steady laminar convective flow with variable properties due to a porous rotating disk, J. Heat Transfer, 127(12), 1406-1409.
28. Mbeledogu, I. U., and Ogulu, A. (2007). Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer, Int. J. Heat Mass Transfer, 50, 1902-1908.
29. Modest, M. F. (1993). Radiation Heat Transfer, McGraw-Hill, New York.
30. Moreau, R. (1990). Magnetohydrodynamics, Kluwer Academic, Boston.
31. Nath, O., Ojha, S. N., and Takhar, H. S. (1993). Self similar MHD shock waves for a rotating atmosphere under the influence of gravitation, Astrophys. Space Sci., 200, 27-34.
32. Olmstead, W. E., and Raynor, S. (1962). Solar heating of a rotating spherical space vehicle, Int. J. Heat Mass Transfer, 5(12), 1165-1177.
33. Osalusi, E. (2007). Effects of thermal radiation on MHD and slip flow over a porous rotating disk with variable properties, Rom. J. Physics, 52(3), 217-229.
34. Osalusi, E., Side, J., Harris, R., and Johnston, B. (2007). On the effectiveness of viscous dissipation and Joule heating on steady MHD flow and heat transfer of a Bingham fluid over a porous rotating disk in the presence of Hall and ion-slip currents, Int. Commun. Heat Mass Transfer, 34(9-10), 1030-1040.
35. Osalusi, E., Side, J., and Harris, R. (2008). Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer of a steady MHD convective and slip flow due to a rotating disk with viscous dissipation and ohmic heating, Int. Commun. Heat Mass Transfer, 35(8), 908-915.
36. Ray, P. C., and Dandapat, B. S. (1994). Flow of a thin liquid film on a rotating disk in the presence of a transverse magnetic field, Q. J. Mech. Appl. Math., 47(3), 297-304.
37. Roy, S., Takhar, H. S., and Nath, G. (2004). Unsteady MHD flow on a rotating cone in a rotating fluid, Meccanica, 39, 271-283.
38. Salem, E. A., Khalil, M. F., and Hakim, S. A. (1980). Thermohydrodynamic lubrication of rotating magnetohydrodynamic thrust bearings, Wear, 62(2), 337-348.
39. Sarma, L. V. K. V., and Sankara, K. K. (1986). On the magneto-hydrodynamic flow past a rotating disk in a fluid-particle suspension with a circular magnetic field, Int. J. Eng. Sci., 24(5), 649-673.
40. Shercliff, J. A. (1965). A Textbook of Magnetohydrodynamics, Pergamon Press, New York.
41. Sparrow, E. M., and Cess, R. D. (1962). Magnetohydrodynamic flow and heat transfer about a rotating disk, J. Appl. Mech., 29, 181-187.
42. Takhar, H. S., and Nath, G. (2000). Self-similar solution of the unsteady flow in the stagnation region on a rotating sphere with a magnetic field, Heat Mass Transfer, 36, 89-96.
43. Takhar, H. S., Yano, K., Nakamura, S., and Nath, G. (1997). Unsteady compressible boundary layer flow in the stagnation region of a sphere with a magnetic field, Arch. Appl. Mech., 67, 478-486.
44. Takhar, H. S., Chamkha, A. J., and Nath, G. (2001). 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 Mass Transfer, 37, 397-402.
45. Takhar, H. S., Singh, A. K., and Nath, G. (2002). Unsteady MHD flow and heat transfer on a rotating disk in an ambient fluid, Int. J. Therm. Sci., 41, 147-155.
46. Takhar, H. S., Chamkha, A. J., and Nath, G. (2003a). Flow and heat transfer on a stretching surface in a rotating fluid with a magnetic field, Int. J. Therm. Sci., 42(1), 23-31.
47. Takhar, H. S., Bég, O. A., Chamkha, A. J., Filip, D., and Pop, I. (2003b). Mixed radiation-convection boundary layer flow of an optically-dense fluid along a vertical plate in a non-Darcy porous medium, Int. J. Appl. Mech. Eng., 8(3), 483-496.
48. Walker, J. S., and Buckmaster, J. D. (1979). Ferrohydrodynamic thrust bearings, Int. J. Eng. Sci., 17, 1171-1182.
49. Welty, J. R., Wicks, C. E., Wilson, R. E., and Rorrer, G. L. (2007). Fundamentals of Momentum, Heat, and Mass Transfer, 5th ed., John Wiley, New York.
50. Yan, W.-M., Li, H.-Y., and Lin, D. (1999). Mixed convection heat transfer in a radially rotating square duct with radiation effects, Int. J. Heat Mass Transfer, 42, 35-47.
51. Yang, L.-K. (1992). Forced convection in a vertical pipe with combined buoyancy and radiation effects, Int. Commun. Heat Mass Transfer, 19(2), 249-262.
52. Zueco, J. (2007). Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate, Appl. Math. Model., 31(9), 2019-2033