Transient hydromagnetic flow in a rotating channel permeated by an inclined magnetic field with magnetic induction and Maxwell displacement current effects

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 61, Issue 1, 2010, Pages 147-169

  Ghosh, S K ^a   Beg O A ^b   Zueco, J ^c   Prasad, V R ^d  

^a Narajole Raj College   (India)

^b SHEFFIELD HALLAM UNIVERSITY   (United Kingdom)

^c TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^d MADANAPALLE INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

Author keywords

Closed form solutions; Dielectric strength; Forced oscillation; Inclined magnetic field; Maxwell displacement current; MHD; Network numerical simulation; Rotation; Unsteady flow

Indexed keywords

CLOSED FORM SOLUTIONS; DIELECTRIC STRENGTHS; FORCED OSCILLATION; FORCED OSCILLATIONS; MAXWELL DISPLACEMENT CURRENT; MHD; NETWORK NUMERICAL SIMULATION;

AERODYNAMICS; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; FLOW SIMULATION; MAGNETIC MATERIALS; MAGNETISM; MAXWELL EQUATIONS; OSCILLATING FLOW; REYNOLDS NUMBER; ROTATION;

MAGNETIC FIELD EFFECTS;

EID: 77949275241     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-009-0006-2     Document Type: Article

References (49)

1. Takenouchi K.: Transient magnetohydrodynamic channel flow with axial symmetry at a supersonic speed. J. Phys. Soc. Japan. 54, 1329-1338 (1985).
2. Triwahju Hardianto T., Sakamoto N., Harada N.: Computational study of diagonal channel magnetohydrodynamic power generation. Int. J. Energy Technol. Policy 6(1-2), 96-111 (2008).
3. Narasimhan, M. N.: Transient magnetohydrodynamic flow in an annular channel, Technical Report, Wisconsin University-Madison, Mathematics Research Center, 24 p., February (1963).
4. Takhar H. S., Ram P. C.: Free convection in hydromagnetic flows of a viscous heat-generating fluid with wall temperature oscillation and Hall currents. Astrophys. Space Sci. 183, 193-198 (1991).
5. Ryabinin A. G., Khozhainov A. I.: Exact and approximate formulations of problems for unsteady flows of conducting fluids in MHD channels. Fluid Dyn. 2(4), 107-109 (1967).
6. Barmin A. A., Uspenskii V. S.: Development of pulsation regimes in one-dimensional unsteady MHD flows with switching off of the electrical conductivity. Fluid Dyn. 21(4), 18-30 (1986).
7. Pop I., Soundalgekar V. M.: The Hall effect on an unsteady flow due to a rotating infinite disc. Nucl. Eng. Des. 44(3), 309-314 (1977).
8. Sarojamma G., Krishna D. V.: Transient hydromagnetic convective flow in a rotating channel with porous boundaries. Acta Mech. 40(3-4), 277-288 (1981).
9. Kumari M., Takhar H. S., Nath G.: Non-axi-symmetric unsteady motion over a rotating disc in the presence of free convection and magnetic field. Int. J. Eng. Sci. 31, 1659-1668 (1993).
10. Ram P. C., Singh A. K., Takhar H. S.: Effects of Hall and ionslip currents on convective flow in a rotating fluid with a wall temperature oscillation. Magneto-Hydrodyn. Plasma Res. J. 5, 1-16 (1995).
11. Takhar H. S., Nath G.: Self-similar solution of the unsteady flow in the stagnation region on a rotating sphere with a magnetic field. Heat Mass Transf. 36, 89-96 (2000).
12. Hayat T., Nadeem S., Asghar S., Siddiqui A. M.: MHD rotating flow of a third-grade fluid on an oscillating porous plate. Acta Mech. 152(1-4), 177-190 (2001).
13. Usha R., Götz T.: Spinning of a liquid film from a rotating disc in the presence of a magnetic field-a numerical solution. Acta Mech. 147(1-4), 137-151 (2001).
14. Roy S., Takhar H. S., Nath G.: Unsteady MHD flow on a rotating cone in a rotating fluid. Meccanica 39(3), 271-283 (2004).
15. Xu H., Liao S.-J.: Series solutions of unsteady MHD flows above a rotating disk. Meccanica 41(6), 20-40 (2006).
16. Bég O. A., Takhar H. S., Nath G., Chamkha A. J.: Mathematical Modeling of hydromagnetic convection from a rotating sphere with impulsive motion and buoyancy effects. Non-Linear Anal. Model. Control J. 11(3), 227-245 (2006).
17. Naroua H., Takhar H. S., Ram P. C., Bég T. A., Bég O. A., Bhargava R.: Transient rotating hydromagnetic partially-ionized heat-generating gas dynamic flow with Hall/Ionslip current effects: finite element analysis. Int. J. Fluid Mech. Res. 34(6), 493-505 (2007).
18. Pao H. P., Long R. R.: Magnetohydrodynamic jet-vortex in a viscous conducting fluid. Quart. J. Mech. Appl. Math. 19(1), 1-26 (1966).
19. Raptis A., Kafousias N., Tzivanidis G.: Hydromagnetic free convection effects on the oscillatory flow of an electrically conducting rarefied gas past an infinite vertical porous plate. Nucl. Eng. Des. 73(1-2), 53-68 (1982).
20. Singh B., Lal J.: Finite element method in magnetohydrodynamic channel flow problems. Int. J. Numer. Methods Eng. 18(7), 1104-1111 (1982).
21. Sezgin M.: Magnetohydrodynamic flow in an infinite channel. Int. J. Numer. Methods Fluids 6(9), 593-609 (1986).
22. Polovko Y. A., Romanova E. P., Tropp É. A.: Onset of rotating stall in induction magnetohydrodynamic flows. J. Tech. Phys. 43(6), 673-677 (1998).
23. Takhar H. S., Chamkha A. J., Nath G.: Unsteady flow and heat transfer on a semi-infinite flat plate with an aligned magnetic field. Int. J. Eng. Sci. 37, 1723-1736 (1999).
24. Matsuo T., Tadamatsu A., Shimasaki M.: 3-D magnetohydrodynamic field computation of supersonic duct flow of weakly ionized plasma. IEEE Trans. Magn. 39(3), 1444-1447 (2003).
25. Al-Khawaja M. J., Selmi M.: Highly accurate solutions of a laminar square duct flow in a transverse magnetic field with heat transfer using spectral method. ASME J. Heat Transf. 128(4), 413-417 (2006).
26. Bég O. A., Bakier A. Y., Prasad V. R., Zueco J., Ghosh S. K.: Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects. Int. J. Therm. Sci. 48(8), 1596-1606 (2009).
27. Ghosh, S. K., Bég, O. A., Zueco, J.: Hydromagnetic free convection flow with induced magnetic field effects. Meccanica (2009, to appear).
28. Ghosh S. K.: A note on steady and unsteady hydromagnetic flow in a rotating channel in the presence of inclined magnetic field. Int. J. Eng. Sci. 29(8), 1013-1016 (1991).
29. Pop I., Ghosh S. K., Nandi D. K.: Effects of the Hall current on free and forced convection flows in a rotating channel in the presence of an inclined magnetic field. Magnetohydrodynamics 37(4), 348-359 (2001).
30. Ghosh S. K., Pop I.: An analytical approach to MHD plasma behaviour of a rotating environment in the presence of an inclined magnetic field as compared to excitation frequency. Int. J. Appl. Mech. Eng. 11(4), 845-856 (2006).
31. Prasad, V. R., Takhar, H. S., Zueco, J., Ghosh, S. K., Bég, O. A.: Numerical study of hydromagnetic viscous plasma flow with Hall current effects in rotating porous media. Invited paper, 53rd Congress ISTAM, University College of Engineering, Osmania University, Hyderabad, India, pp. 147-157 (2008).
32. Ghosh, S. K., Anwar Bég, O. A., Zueco, J.: Hydromagnetic convection flow in a rotating horizontal channel with inclined magnetic field and Hall current effects. Acta Astronautica (2009, under review).
33. Shercliff J. A.: A Textbook of Magnetohydrodynamics. Cambridge University Press, UK (1965).
34. Maxwell, J. C.: On physical lines of force. Part 1. The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, 4th series, pp. 161-175 (1861).
35. Ghosh, S. K., Bég, O. A.: Advanced Magneto-Fluid Mechanics: A Mathematical and Numerical Perspective. World Scientific Press, Singapore (2010, in preparation).
36. Kanayama, H., Tagami, H. D., Imoto, K., Sugimoto, S.: Finite element computation of magnetic field problems with the displacement current. In: Proceedings of the 6th Japan-China Joint Seminar on Numerical Mathematics, University of Tsukuba, Japan, 5-9 August, pp. 77-84 (2002).
37. Zhang D. M., Lie P.: Influence of displacement current on magnetic field distribution in ferrite core within kHz-MHz frequency range. J. Magn. Magn. Mater. 256(1-3), 183-188 (2003).
38. Zhang D.: Permeability enhancement by induced displacement current in magnetic material with high permittivity. J. Magn. Magn. Mater. 313(1), 47-51 (2007).
39. Ghosh S. K.: A note on unsteady hydromagnetic flow in a rotating channel permeated by an inclined magnetic field in the presence of an oscillator. Czech. J. Physics 51(8), 799-804 (2001).
40. Landau L. D., Lifschitz E. M.: Electrodynamics of Continuous Media, International Course in Theoretical Physics. Pergamon, Oxford (1959).
41. 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. Eng. Sci. 44, 1380-1393 (2006).
42. Bég O. A., Takhar H. S., Zueco J., Sajid A., Bhargava R.: Transient Couette flow in a rotating non-Darcian porous medium parallel plate configuration: network simulation method solutions. Acta Mech. 200, 129-144 (2008).
43. Zueco J.: Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate. Appl. Math. Model. 31, 2019-2033 (2007).
44. Bég O. A., Zueco J., Takhar H. S.: Laminar free convection from a continuously-moving vertical surface in thermally-stratified non-Darcian high-porosity medium: network numerical study. Int. Comm. Heat Mass Transf. 35, 810-816 (2008).
45. Bég O. A., Zueco J., Bhargava R., Takhar H. S.: 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 (2009).
46. Bég O. A., Zueco J., 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. Commun. Nonlinear Sci. Numer. Simul. J. 14, 1082-1097 (2009).
47. Pspice 6.0. Irvine, California 92718. Microsim Corporation, 20 Fairbanks (1994).
48. Zueco J.: Network method to study the transient heat transfer problem in a vertical channel with viscous dissipation. Int. Comm. Heat Mass Transf. 33, 1079-1087 (2006).
49. Resler E. R. Jr, Sears W. R.: The prospects for magneto-aerodynamics. J. Aeronaut. Sci. 25, 235-246 (1958).