138
Views
21
CrossRef citations to date
0
Altmetric
Original Articles

EFFECTS OF COMBINED TEMPERATURE- AND DEPTH-DEPENDENT VISCOSITY AND HALL CURRENT ON AN UNSTEADY MHD LAMINAR CONVECTIVE FLOW DUE TO A ROTATING DISK

Pages 506-521 | Published online: 04 Dec 2009

References

  • Aboul-Hassan , A. L. , and Attia , H. A. ( 1997 ). Flow due to a rotating disk with Hall effect , Phys. Lett. , A 228 , 246 – 290 .
  • Attia , H. A. ( 1998 ). Unsteady MHD flow near a rotating porous disk with uniform suction or injection , Fluid Dyn. Res. , 23 , 283 – 290 .
  • Attia , H. A. ( 2007a ). On the effectiveness of ion slip and uniform suction or injection on steady MHD flow due to rotating disk with heat transfer and Ohmic heating , Chem. Eng. Commun. , 194 , 1396 – 1407 .
  • Attia , H. A. ( 2007b ). Velocity and temperature distributions between parallel plates with Hall effect and variable properties , Chem. Eng. Commun. , 194 , 1355 – 1373 .
  • Benton , E. R. ( 1966 ). On the flow due to a rotating disc , J. Fluid Mech. , 24 ( Part 4 ), 781 – 800 .
  • Booker , J. R. ( 1976 ). Thermal convection with strongly temperature-dependent viscosity , J. Fluid Mech. , 76 , 741 .
  • Chakraborty , S. , and Borkakati , A. K. ( 2002 ). Effect of variable viscosity on laminar convection flow of an electrically conducting fluid in uniform magnetic field , Theoret. Appl. Mech. , 27 , 49 – 61 .
  • Cochran , W. G. ( 1934 ). The flow due to a rotating disc , Proc. Camb, Philos. Soc. , 30 , 365 – 375 .
  • El-Mistikawy , T. M. A. , and Attia , H. A. ( 1990 ). The rotating disk flow in the presence of strong magnetic field , in Proceedings of the Third International Congress of Fluid Mechanics, Cairo, Egypt, 2–4 January , vol. 3 , 1211 – 1222 .
  • El-Mistikawy , T. M. A. , Attia , H. A. , and Megahed , A. A. ( 1991 ). The rotating disk flow in the presence of weak magnetic field, in Proceedings of the Fourth Conference on Theoretical and Applied Mechanics, Cairo, Egypt, 5–7 November , 69 – 82 .
  • Gordon , R. B. ( 1965 ). Diffusion creep in the earth's mantle , J. Geophys. Res. , 70 , 2413 .
  • Gray , D. , Kassory , R. , Tadjeran , H. , and Zebib , A. ( 1982 ). The effect of significant viscosity variation on convective heat transport in water-saturated porous media , J. Fluid Mech. , 117 , 233 – 249 .
  • Gurnis , M. , and Davies , G. F. ( 1986 ). The effects of depth-dependent viscosity on convective mixing in the mantle and the possible survival of primitive mantle , Geophys. Res. Lett. , 13 , 541 – 544 .
  • Hayat , T. , Ellahi , R. , and Asghar , S. ( 2007 ). Unsteady magnetohydrodynamic non-Newtonian flow due to non-coaxial rotations of disk and a fluid at infinity , Chem. Eng. Commun. , 194 , 37 – 49 .
  • Hayat , T. , Ellahi , R. , and Asghar , S. ( 2008 ). Hall effects on unsteady flow due to non-coaxially rotating disk and a fluid at infinity , Chem. Eng. Commun. , 195 , 958 – 976 .
  • Hossain , A. , and Hossain , M. A. ( 1998 ). Unsteady flow and heat transfer of a viscous fluid with variable viscosity due to a rotating disc , in Proceedings of the Mini Workshop on Applied Mathematics, SUST, Sylhet, Bangladesh, 1–3 September , 85 – 96 .
  • Joseph , D. R. ( 1976 ). Stability of Fluid Motions , part II , Springer-Verlag , New York .
  • Kafoussias , N. G. , and Williams , E. W. ( 1995 ). The effect of temperature dependent viscosity on the free convective laminar boundary layer flow past a vertical isothermal flat plate , Acta Mech. , 110 , 123 – 137 .
  • Kafoussias , N. G. , and Rees , D. A. S. ( 1998 ). Numerical study of the combined free and forced convective laminar boundary layer flow past a vertical isothermal flat plate with temperature dependent viscosity , Acta Mech. , 127 , 39 – 50 .
  • Kelson , N. , and Desseaux , A. ( 2000 ). Notes on porous rotating disk flow , ANZIAM J. , 42 ( E ), C837 – C855 .
  • Korenaga , J. , and Jordan , T. H. ( 2002 ). Onset of convection with temperature- and depth-dependent viscosity , Geophys. Res. Lett. , 29 ( 19 ), 1923 .
  • Kuiken , H. K. ( 1971 ). The effect of normal blowing on the flow near a rotating disk of infinite extent , J. Fluid Mech. , 47 , 789 – 798, C845 .
  • Lai , F. C. , and Kulacki , F. A. (1990). The effect of variable viscosity on convective heat and mass transfers along a vertical surface in saturated porous media, Int. J. Heat Mass Transfer , 33, 1028.
  • Ling , J. X. , and Dybbs , A. ( 1987 ). Forced convection flow over a flat plate submerged in a porous medium with variable viscosity case, ASME paper 87-WA/TH-23 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2002 ). The effects of Hall current and variable viscosity on an unsteady MHD laminar convective flow due to a rotating disc , J. Energy Heat Mass Transfer , 24 , 335 – 348 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2003 ). Transient convective flow due to a rotating disc with magnetic field and heat absorption effects , J. Energy Heat Mass Transfer , 25 , 279 – 291 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2005a ). MHD convective flow due to a rotating disk with Hall effect , J. Energy Heat Mass Transfer , 27 , 211 – 228 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2005b ). Locally similar solution of an unsteady MHD flow due to a rotating disc with Hall effect , J. Energy Heat Mass Transfer , 27 , 293 – 303 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2005c ). Steady laminar convective flow with variable properties due to a porous rotating disc , J. Heat Transfer , 127 ( 12 ), 1406 – 1409 .
  • Maleque , Kh. A. , and Sattar , Md. A. ( 2005d ). The effects of variable properties and Hall current on steady MHD compressible laminar convective fluid flow due to a porous rotating disc , Int. J. Heat Mass Transfer , 48 , 4963 – 4972 .
  • Mehta , K. N. , and Sood , S. ( 1992 ). Transient free convection flow with temperature dependent viscosity in fluid saturated porous medium , Int. J. Eng. Sci. , 30 , 1083 – 1087 .
  • Nachtsheim , P. R. , and Swigert , P. ( 1965 ). Satisfaction of asymptotic boundary conditions in numerical solution of system of nonlinear of boundary layer type, NASA TN D-3004 .
  • Schlichting , H. ( 1968 ). Boundary Layer Theory , McGraw Hill , New York .
  • Sparrow , E. M. , and Gregg , J. L. ( 1959 ). Heat transfer from a rotating disk to fluids of any Prandtl number , J. Heat Transfer C , 81 , 249 – 251 .
  • Stegman , D. R. , Richards , M. A. , and Baumgardner , J. R. ( 2002 ). Effect of depth-dependent viscosity and plate motions on maintaining a relatively uniform mid-ocean ridge basalt reservoir in whole mantle flow , J. Geophys. Res. , 107 ( B6 ), 2116 .
  • Torrance , K. E. , and Turcotte , D. L. ( 1971 ). Thermal convection with large viscosity variation , J. Fluid Mech. , 47 ( Part 1 ), 113 – 125 .
  • von Kármán , T. ( 1921 ). Ueber laminare und turbulente reibung , Z. Angew. Math. Mech. , 1 , 233 – 255 .

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.