33
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Unsteady unidirectional MHD flows of a non‐Newtonian fluid saturated in a porous medium

Pages 569-578 | Received 03 Feb 2004, Accepted 14 Sep 2004, Published online: 04 Mar 2011

References

  • Akyildiz , F. T. 1998 . “A Note on the Flow of Non‐Newtonian Fluid Film,” . International Journal of Non‐Linear Mechanics , 33 ( 6 ) : 1061 – 1067 .
  • Chandna , O. P. and Oku‐Ukpong , E. O. 1994 . “Unsteady Second‐Grade Aligned MHD Fluid Flow, “ . Acta Mechanica , 107 : 77 – 91 .
  • Dunn , J. E. and Fosdick , R. L. 1974 . “Thermodynamics, Stability and Boundedness of Fluids of Complex 2 and Fluids of Second Grade,” . Archive for Rational Mechanics and Analysis , 56 : 191 – 252 .
  • Dunn , J. E. and Rajagopal , K. R. 1995 . “Fluids of Differential Type: Critical Review and Thermodynamics Analysis,” . International Journal of Engineering Science , 33 ( 5 ) : 689 – 729 .
  • Erdogan , M. E. 1995 . “Plane Surfaces Suddenly Set in Motion in a Non‐Newtonian Fluid,” . Acta Mechanica , 108 : 179 – 187 .
  • Ganapathy , R. 1994 . “A Note on Oscillatory Couette Flow in a Rotating System,” . Transactions ASME , 61 : 208 – 209 .
  • Hayat , T. , Asghar , S. and Siddiqui , A. M. 2000 . “Some Unsteady Unidirectional Flows of a Non‐Newtonian Fluid,” . International Journal of Engineering Science , 38 ( 3 ) : 337 – 346 .
  • Hayat , T. , Khan , M. , Siddiqui , A. M. and Asghar , S. 2004 . “Transient Flows of a Second Grade Fluid,” . International Journal of Non‐Linear Mechanics , 39 ( 10 ) : 1621 – 1633 .
  • Liu , I. C. 2005 . “Flow and Heat Transfer of an Electrically Conducting Fluid of Second Grade in a Porous Medium over a Stretching Sheet Subject to a Transverse Magnetic Field,” . International Journal of Non‐Linear Mechanics , 40 ( 4 ) : 465 – 474 .
  • Markovitz , H. and Coleman , B. D. 1964 . “Non‐Steady Helical Flows of Second Fluids,” . Physics of Fluids , 7 ( 5 ) : 833 – 841 .
  • Nield , D. A. and Bejan , A. 1998 . Convection in Porous Medium, , 2nd ed. , New York, , USA : Springer‐Verlag Inc. .
  • Rajagopal , K. R. 1982 . “A Note on Unsteady Unidirectional Flows of a Non‐ Newtonian Fluid,” . International Journal of Non‐Linear Mechanics , 17 ( 5/6 ) : 369 – 373 .
  • Rajagopal , K. R. 1995 . “On the Boundary Conditions for Fluid of Differential Type,” . In Navier‐Stokes Equations and Related Non‐Linear Problems, A. Sequeiraed , New York, , USA : Plenum Press .
  • Rajagopal , K. R. and Gupta , A. S. 1981 . “A Class of Exact Solutions to the Equations of Motion of a Second‐Grade Fluid,” . International Journal of Engineering Science , 19 : 1009 – 1014 .
  • Rajagopal , K. R. and Gupta , A. S. 1984 . “An Exact Solution for the Flow of a Non‐Newtonian Fluid Past an Infinite Porous Plate,” . Meccanica , 19 : 158 – 160 .
  • Rivlin , R. S. and Ericksen , J. L. 1955 . “Stress Deformation Relations for Isotropic Materials,” . Journal of Rational Mechanics and Analysis , 4 : 323 – 425 .
  • Sarpkaya , T. 1961 . “Flow of Non‐Newtonian Fluids in a Magnetic Field,” . American Institute of Chemistry Engineers Journal , 7 : 324 – 328 .
  • Shercliff , J. A. 1965 . A Textbook of Magnetohydro‐dynamics , Oxford, , UK : Pergamon Press .
  • Siddiqui , A. M. , Hayat , T. and Asghar , S. 1999 . “Periodic Flows of a Non‐Newtonian Fluid Between Two Parallel Plates,” . International Journal of Non‐Linear Mechanics , 34 ( 5 ) : 895 – 899 .
  • Singh , K. D. 2000 . “An Oscillatory Hydromagnetic Couette Flow in a Rotating System,” . Zeitschrift fur Angewandte Mathematik und Mechanik , 80 ( 6 ) : 429 – 432 .
  • Ting , T. W. 1963 . “Certain Non‐Steady Flows of Second‐Order Fluids,” . Archive for Rational Mechanics and Analysis , 14 : 1 – 26 .
  • I. C. Liu is with the Department of Civil Engineering, National Chi Nan University, Nantou, Taiwan 545, R.O.C. (Tel: 886–49–2918085; Fax: 886–49–2918679; Email: [email protected])

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.