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JP Journal of Heat and Mass Transfer

JP Journal of Heat and Mass Transfer
Volume 1, Issue 3, Pages 303 - 330 (October 2007)

ON THE EFFECTIVENESS OF VISCOUS DISSIPATION AND JOULE HEATING ON STEADY MHD AND SLIP FLOW OF A BINGHAM FLUID OVER A POROUS ROTATING DISK IN THE PRESENCE OF HALL AND ION-SLIP CURRENTS Emmanuel Osalusi (United Kingdom), Jonathan Side (United Kingdom), Robert Harris (United Kingdom) and Barry Johnston (United Kingdom) Received October 29, 2007 References:
[1] A. Arikoglu and I. Ozkol, On the MHD and slip flow over a rotating disk with heat transfer, Int. J. Numerical Methods Heat and Fluid Flow 28(2) (2006), 172-184. [2] E. C. Bingham and H. Green, Plastic material and not viscous liquid: the measurement of its mobility and yield value, Proc. Amer. Soc. Test Mater. 20(2) (1919), 640-675. [3] R. B. Bird, G. C. Dai and B. J. Yarusso, The rheology and flow of viscoplastic materials, Rev. Chem. Engrg. 1 (1983), 36-69. [4] F. Frusteri and E. Osalusi, On MHD and slip flow over a rotating porous disk with variable properties, Int. Comm. Heat and Mass Transfer, 2007 (accepted). [5] M. Gad-el-Hak, The fluid mechanics of microdevices-the freeman scholar lecture, J. Fluid Eng-T. Asme 121 (1999), 5-33. [6] S. Matsumoto and Y. Takashima, Film thickness of a Bingham liquid on a rotating disk, Ind. Eng. Chem. Fundam. 21 (1982), 198-202. [7] M. Miklavcic and C. Y. Wang, The flow due to a rough rotating disk, Z. Angew. Math. Phys. 55 (2004), 235-246. [8] T. Min, J. Y. Yoo and H. Choi, Laminar convective heat transfer of a Bingham plastic in a circular pipe. II. Numerical approach-hydrodynamically developing flow and simultaneously developing flow, Int. J. Heat Mass Transfer 40(15) (1997), 3689-3701. [9] P. Mitschka, Nicht-Newtonsche Flussigkeiten. II. Drehstomungen Ostwarld-de Waelescher Nicht-Newtonscher Flussigkeiten, Coll. Czech. Chem. Comm. 29 (1964), 2892-2905. [10] P. Mitschka and J. Ulbrecht, Nicht-Newtonsche Flussigkeiten. IV. Stromung Nicht-Newtonsche Flussigkeiten Ostwarld-de Waelescher Typs in der Umebung Rotierender Drehkegel und Schieben, Coll. Czech. Chem. Comm. 30 (1965), 2511-2526. [11] Q. D. Nguyen and D. V. Boger, Measuring the flow properties of yield stress fluids, Ann. Rev. Fluid Mech. 24 (1992), 47-88. [12] E. Osalusi and P. Sibanda, On variable laminar convective flow properties due to a porous rotating disk in a magnetic field, Romanian J. Phys. 51(9-10) (2006), 933-944. [13] N. Patel and D. B. Ingham, Mixed convection flow of a Bingham plastic in an eccentric annulus, Int. J. Heat Flow 15(2) (1994), 132-141. [14] A. G. Petrov, The development of the flow of viscous and viscoplastic media between two parallel plates, J. Appl. Math. Mech. 64(1) (2000), 123-132. [15] A. A. Rashaida, Flow of a non-Newtonian Bingham plastic fluid over a rotating disk, Ph.D. Thesis, University of Saskatchewan, 2005. [16] A. A. Rashaida, D. J. Bergstrom and R. J. Sumner, Mass transfer from a rotating disk to a Bingham fluid, ASME Applied Mechanics Division 73 (2006), 108-111. [17] E. M. Sparrow, G. S. Beavers and L. Y. Hung, Flow about a porous-surface rotating disk, Int. J. Heat Mass Transfer 14 (1971), 993-996. [18] G. W. Sutton and A. Sherman, Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965. [19] T. von Karman, Uber laminare und turbulente Reibung, Z. Angew. Math. Mech. 1 (1921), 233-255. [20] G. C. Vradis, J. Dougher and S. Kumar, Entrance pipe flow and heat transfer for a Bingham plastic, Int. J. Heat Mass Transfer 96 (1993), 543-550. [21] I. C. Walton and S. H. Bittleston, The axial flow of a Bingham plastic in a narrow eccentric annulus, J. Fluid Mech. 222 (1991), 39-60. [22] P. J. Zandbergen and D. Dijkstra, T. von Karman swirling flows, Ann. Rev. Fluid Mech. 19 (1987), 465-491.

Keywords and phrases: rotating disk, Bingham fluid, Joule heating, viscous dissipation, ion-slip currents.

Communicated by Tien-Chien Jen

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