PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2010 | 8 | 3 | 422-431
Tytuł artykułu

Effects of Hall current on unsteady MHD flows of a second grade fluid

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this present paper is to construct exact solutions corresponding to the motion of magnetohydrodynamic (MHD) fluid in the presence of Hall current, due to cosine and sine oscillations of a rigid plate as well as those induced by an oscillating pressure gradient. A uniform magnetic field is applied transversely to the flow. By using Fourier sine transform steady state and transient solutions are presented. These solutions satisfy the governing equations and all associated initial and boundary conditions. The results for a hydrodynamic second grade fluid can be obtained as a limiting case when B 0 → 0 and for a Newtonian fluid when α 1 → 0.
Słowa kluczowe
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
3
Strony
422-431
Opis fizyczny
Daty
wydano
2010-06-01
online
2010-04-24
Twórcy
autor
  • Department of Mathematics, University of Sargodha, Sargodha, Pakistan
autor
autor
  • Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan
Bibliografia
  • [1] R. S. Rivlin, J. L. Ericksen, J. Ration. Mech. Anal. 4, 323 (1955)
  • [2] K. R. Rajagopal, Int. J. Nonlinear Mech. 17, 369 (1982) http://dx.doi.org/10.1016/0020-7462(82)90006-3[Crossref]
  • [3] K. R. Rajagopal, Acta Mech. 49, 281 (1983) http://dx.doi.org/10.1007/BF01236358[Crossref]
  • [4] K. R. Rajagopal, R. K. Bhatnagar, Acta Mech. 113, 233 (1995) http://dx.doi.org/10.1007/BF01212645[Crossref]
  • [5] C. Corina Fetecau, C. Fectecau, Int. J. Eng. Sci. 43, 781 (2005) http://dx.doi.org/10.1016/j.ijengsci.2004.12.009[Crossref]
  • [6] C. Fectecau, Int. J. Nonlinear Mech. 39, 225 (2004) http://dx.doi.org/10.1016/S0020-7462(02)00170-1[Crossref]
  • [7] M. E. Erdogan, C. E. Imrak, Appl. Math. Model. 31, 170 (2007) http://dx.doi.org/10.1016/j.apm.2005.08.019[Crossref]
  • [8] T. Hayat, S. Asghar, A. M. Siddiqui, J. Eng. Sci. 38, 337 (2000) http://dx.doi.org/10.1016/S0020-7225(99)00034-8[Crossref]
  • [9] T. Hayat, M. Khan, A. M. Siddiqui, S. Asghar, Int. J. Nonlinear Mech. 39, 1621 (2004) http://dx.doi.org/10.1016/j.ijnonlinmec.2002.12.001[Crossref]
  • [10] T. Hayat, M. Khan, M. Ayub, A. M. Siddiqui, Arch. Mech. 57, 403 (2005)
  • [11] R. L. Fosdick, K. R. Rajagopal, Arch. Ration. Mech. An. 70, 145 (1979)
  • [12] J. E. Dunn, K. R. Rajagopal, Int. J. Eng. Sci. 33, 689 (1995) http://dx.doi.org/10.1016/0020-7225(94)00078-X[Crossref]
  • [13] V. J. Rossow, NASA, Report No. 1358, 489 (1958)
  • [14] A. M. Siddiqui, T. Hayat, S. Asghar, Int J. Nonlinear Mech. 34, 895 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00063-8[Crossref]
  • [15] R. Cortell, Chem. Eng. Process. 46, 982 (2007) http://dx.doi.org/10.1016/j.cep.2006.09.008[Crossref]
  • [16] R. Cortell, Phys. Lett. A 357, 298 (2006) http://dx.doi.org/10.1016/j.physleta.2006.04.051[Crossref]
  • [17] R. Cortell, Phys. Lett. A 372, 2431 (2008) http://dx.doi.org/10.1016/j.physleta.2007.08.005[Crossref]
  • [18] R. Cortell, Int. J. Heat Mass Tran. 49, 1851 (2006) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2005.11.013[Crossref]
  • [19] Z. Abbas, Y. Wang, T. Hayat, M. Oberlack, Int J. Nonlinear Mech. 43, 783 (2008) http://dx.doi.org/10.1016/j.ijnonlinmec.2008.04.009[Crossref]
  • [20] A. K. Ghosh, P. Sana, Acta Astronaut. 64, 272 (2009) http://dx.doi.org/10.1016/j.actaastro.2008.07.016[Crossref]
  • [21] M. Khan, Nonlinear Anal.-Real 10, 745 (2009) http://dx.doi.org/10.1016/j.nonrwa.2007.11.001[Crossref]
  • [22] K. R. Rajagopal, In: A. Sequiera (Ed.), On boundary conditions for fluids of the differential type (Plenum press, New York, 1995) 273
  • [23] R. Bandelli, K. R. Rajagopal, G. P. Galdi, Arch. Mech. 47, 661 (1995)
  • [24] I. N. Sneddon, Fourier Transforms (McGraw Hill Book Company, New York, Toronto, London, 1951)
  • [25] I. N. Sneddon, Functional analysis, Encyclopedia of physics, Vol. II (Springer, Berlin, Gottingen, Heidelberg, 1955)
  • [26] I. S. Grandshteyn, I. M. Ryzhik, In: A. Jeffrey (Ed.), Tables of integrals, series and products, 5th edition (Academic Press, San Diego, New york, Bostan, London, Sydney, Toronto, 2000) (translated from Russian)
  • [27] K. Cramer, S. Pai, Magnetofluid Dynamics for Engineers and Applied Physicists (McGraw - Hill, New York, 1973)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0083-z
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.