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Viscous dissipation effects on MHD flow of a conducting power-law fluid with a pressure gradient

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of a steady two-dimensional flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field under the influence of a pressure gradient by considering viscous dissipation effects is studied. The resulting governing partial differential equations are transformed into a set of non linear ordinary differential equations using appropriate transformation. The set of non linear ordinary differential equations is first linearized by using the Quasi-linearization technique and then solved numerically by using an implicit finite difference scheme. The system of algebraic equations is solved by using the Gauss-Seidal iterative method. The energy equation for a special case for which a similarity solution exist is also considered. The effects of the power-law index, magnetic parameter, viscous dissipation and generalized Prandtl number on the velocity and temperature profiles are of special interest. Numerical results are tabulated for the skin friction co-efficient. Velocity and temperature profiles are drawn for different controlling parameters which reveal the tendency of the solution.
Rocznik
Strony
101--112
Opis fizyczny
Bibliogr. 24 poz., wykr.
Twórcy
autor
  • Department of Mathematics, University College of Science Osmania University Hyderabad -7, A.P., INDIA, kishan_n@rediffmail.com
Bibliografia
  • Acrivos A., Shah M.J. and Petersen E.E. (1960): Momentum and heat transfer in laminar boundary layer flows of non-Newtonian fluids past external surfaces. - AIChE J., vol.6, pp.312-317.
  • Agarwal M., Chhabra R.P. and Eswaran V. (2002): Laminar momentum and thermal boundary layers of power-law fluids over a slender cylinder. - Chem. Engng. Sci., vol.57, pp.1331-1341.
  • Anderson H.I., Bach K.H. and Dandapat B.S. (1992): Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. - Int. J. Non-Linear Mech., vol.27, pp.929-936.
  • Bellman R.E. and Kalaba R.E. (1965): Quasi-Linearization and Non-Linear Boundary Value Problem. - New York: Elsevier.
  • Berkovskii B.M. (1966): A class of self-similar boundary layer problems for rheological power-law fluids. - Int. Chem. Eng., vol.6, pp.187-201.
  • Chiam T.C. (1999): Solutions for the flow of a conducting power-law fluid in a transverse magnetic field and with a pressure gradient using Crocco variables. - Acta Mechanica, vol.137, pp.225-235.
  • Djukic D.S. (1973): On the use of Crocco equation for the flow of power-law fluids in a transverse magnetic field. - AIChE J., vol.19, pp.1159-1163.
  • Djukic D.S. (1974): Hiemenz magnetic flow of power-law fluids. - J. Appl. Mech., vol.4, pp.822-823.
  • Hansen A.G. and Na R.Y. (1968): Similarity solutions of laminar incompressible boundary layer equations of non-Newtonian fluids. - Trans. ASME. J., Basic Eng., vol.40, pp.71-74.
  • Irvine Jr. T.F. and Karni J. (1987): Non-Newtonian flow and heat transfer," in : S. Kakac, R.K. Shah, W. Aung (Eds.), Handbook of Single-Phase Convective Heat transfer, John Wiley, New York, chapter 20, 20.1 - 20.57.
  • Kapur J.N. and Srisvastava R.C. (1963): Similar solutions of the boundary layer equations for power-law fluids. - ZAMP, vol.14, pp.383-388.
  • Kishan N. and Amrutha P. (2009): MHD heat transfer to non-Newtonian power-law fluids flowing over a wedge with viscous dissipation. - Int. J. of Applied Mechanics and Engineering, vol.14, No.4, pp.965-987.
  • Lee S.Y. and Ames W.F. (1960): Similarity solutions for non-Newtonian fluids. - A.I.Ch.E. J., vol.12, pp.700-708.
  • Liu C.Y. (1973): Asymptotic suction flow of power-law fluids. - J. Hydronaut., vol.7, pp.135-136.
  • Pop I., Kumari M. and Nath G. (1990): Non-Newtonian boundary layer on a moving cylinder. - Int. J. Engineering Science, vol.28, pp.303-312.
  • Rao J.H., Jeng D.R. and De Witt K.J. (1997): Momentum and heat transfer on a continuous moving surface in a power-law fluid. - Int. J. Heat Mass Transfer, vol.40, pp.1853-1861.
  • Sapunkov Ya. G. (1967): Self-similar solutions of non-Newtonian fluid boundary layer in MHD. - Fluid Dynamics 2, pp.42-47.
  • Sarpakaya T. (1961): Flow of non-Newtonian fluids in a magnetic field. - AIChE J., vol.7, pp.324-328.
  • Schowalter W.R. (1960): The application of boundary-layer theory to power-law pseudo plastic fluids: similar solutions. - A.I.Ch.E. J., vol.6, pp.24-28.
  • Skelland A.H.D. (1967): Non-Newtonian Flow and Heat Transfer. - New York: John Wiley.
  • Thomson E.R. and Snuder W.T. (1968): Drag reduction of a non-Newtonian fluid by fluid injection at the wall. - J. Hydronaut., vol.2, pp.177-180.
  • Thomson E.R. and Snuder W.T. (1970): Laminar boundary-layer flows of Newtonian fluids with non-Newtonian fluid injections. - J. Hydronaut., vol.4, pp.86-91.
  • Tian-Yih Wang (1996): Convective heat transfer between a moving cylinder and flowing non-Newtonian fluids. - Int. Communication Heat Mass Transfer, vol.23, pp.101-114.
  • Vujanovic B., Strauss A.M. and Djukic D. (1972): A variational solution of Rayleigh problem for power-law non-Newtonian conductive fluid. - Ing. Arch., vol.41, pp.381-386.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0026-0008
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