Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame
T. Hayat1,2, Liaqat Ali. Khan3, R. Ellahi4**, S. Obaidat2
1Department of Mathematics Quaid-i-Azam University Islamabad, Pakistan 2Department of Mathematics, King Saud University, Riyadh, Saudi Arabia 3Department of Mathematics, Military College Murree, Pakistan 4Department of Mathematics, FBAS, IIUI, H-10 Sector, Pakistan
Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame
T. Hayat1,2, Liaqat Ali. Khan3, R. Ellahi4**, S. Obaidat2
1Department of Mathematics Quaid-i-Azam University Islamabad, Pakistan 2Department of Mathematics, King Saud University, Riyadh, Saudi Arabia 3Department of Mathematics, Military College Murree, Pakistan 4Department of Mathematics, FBAS, IIUI, H-10 Sector, Pakistan
摘要We present an analysis of an electrically conducting viscous fluid over a porous plate in a rotating system. The plate starts impulsively from rest relative to the rotating fluid moving with uniform acceleration in its own plane. Exact solutions are developed for both large and small times. In addition, skin friction is computed. The variations of magnetic field and porosity are displayed and discussed. It is noted that steady state behavior is not achieved even under the simultaneous effects of suction, magnetic field and rotation.
Abstract：We present an analysis of an electrically conducting viscous fluid over a porous plate in a rotating system. The plate starts impulsively from rest relative to the rotating fluid moving with uniform acceleration in its own plane. Exact solutions are developed for both large and small times. In addition, skin friction is computed. The variations of magnetic field and porosity are displayed and discussed. It is noted that steady state behavior is not achieved even under the simultaneous effects of suction, magnetic field and rotation.
T. Hayat;Liaqat Ali. Khan;R. Ellahi**;S. Obaidat
. Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame[J]. 中国物理快报, 2011, 28(5): 54701-054701.
T. Hayat, Liaqat Ali. Khan, R. Ellahi**, S. Obaidat
. Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame. Chin. Phys. Lett., 2011, 28(5): 54701-054701.
[1] Debnath L 1973 Acta Mech. 18 333
[2] Debnath L 1974 Phys. Fluids 17 1704
[3] Debnath L 1975 Z. Angew Math. Mech. 55 141
[4] Debnath L and Mukherjee 1973 Phys. Fluids 16 1418
[5] Hayat T, Mumtaz S and Ellahi R 2003 Acta Mech. Sin. 19 235
[6] Hayat T, Ellahi R, Asghar S and Siddiqui AM 2004 Applied Mathematical Modeling 28 591
[7] Hayat T, Ellahi R and Asghar S 2004 Math. Comput. Modelling 40 173
[8] Hayat T, Ellahi R and Asghar S 2007 Chem. Engin. Commun. 194 37
[9] Nadeem S 2006 J. Porous Media 8 779
[10] Hameed M and Nadeem S 2007 J. Math. Anal. Appl. 325 724
[11] Fetecau C and Fetecau C 2005 Int. J. Eng. Sci. 43 781
[12] Abelman S, Momoniat E and Hayat T 2009 Nonlin. Anal. Ser. B: Real World Problems 10 3322
[13] Deka R K, Gupta A S, Takhar H S and Soundalgekar V M 1999 Acta Mech. 138 13
[14] Deka RK 2008 Theor. Appl. Mech. 35 333
[15] Debnath L 1975 Z. Angew Math. Mech. 55 431
[16] Gupta A S and Soundalgekar V M 1975 Z. Angew Math. Mech. 55 762
[17] Chen Y and Zhu K 2008 J. Non-Newtonian Fluid Mech. 153 1
2011, Vol. 28 
