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Mixed convection flow of micropolar fluid in a vertical channel with symmetric and asymmetric wall heating conditions

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The theory of micro polar fluids due to Eringen is used to formulate a set of equations for the mixed convective flow and heat transfer in a vertical channel. The two boundaries of the channel are kept either at equal or at different temperatures. Through a proper choice of non-dimensional variables and parameters, the governing equations are developed and three types of thermal boundary conditions are prescribed. These thermal boundaries are isothermal-isothermal, isoflux-isothermal and isothermal-isoflux for the left-right walls of the channel. Exact analytical solutions are obtained for the velocity and temperature fields for heat generation/absorption conditions. It is found that the material and source/sink parameters have significant effects on the flow. A parametric study is conducted and the results are presented and discussed. By making the Newtonian solvent more and more micropolar, it is possible to obtain drag reduction.
Rocznik
Strony
141--159
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
  • Department of Mathematics, Gulbarga University Gulbarga. 585 106, Karnataka, INDIA, jc_uma11@yahoo.com
Bibliografia
  • Ariman T., Turk M.A. and Sylvester N.D. (1973): Microcontinuum fluid mechanics- A review. - Int. J. Eng. Sci., vol.11, pp.905-930.
  • Aung W. and Worku G. (1986): Theory of fully developed combined convection including flow reversal. - ASME J. Heat Transfer, vol.108, pp.485-488.
  • Barletta A. (1999): Analysis of combined forced and free flow in a vertical channel with viscous dissipation and isothermal-isoflux boundary conditions. - ASME J. Heat Transfer, vol.121, pp.349-356.
  • Barletta A. and Zanchini E. (1999): On the choice of the reference temperature for fully developed mixed convection in a vertical channel. - Int. J. Heat Mass Transfer, vol.42, pp.3169-3181.
  • Cheng C.H., Kou H.S. and Huang W.H. (1990): Flow reversal and heat transfer of fully developed mixed convection in vertical channel. - J. Thermophysics Heat Transfer, vol.4, pp.375-383.
  • Eringen A.C. (1964): Simple microfluids. - J. Math. Mech., vol.2, pp.205-217.
  • Eringen A.C. (1966): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-16.
  • Eringen A.C. (1972): Theory of thermomicrofluids. - J. Math. Anal. Appl., vol.38, pp.480-496.
  • Eringen A.C. (2001): Microcontinuum Field Theories II: Fluent media. - New York: Springer-Verlag.
  • Gorla R.S.R., Ghorashi B. and Wangskarn P. (1989): Mixed convection in vertical internal flow of a micropolar fluid. - Int. J. Engng. Sci, vol.27, pp.1553-1561.
  • Hamadah T.T. and Wirtz R.A. (1991): Analysis of laminar fully developed mixed convection in a vertical channel with opposing buoyanc. - J. Heat Transfer, vol.113, pp.507-510.
  • Hassanien L.A., Essawy A.H. and Moursy N.M. (2004): Natural convection flow of micropolar fluid from a permeable uniform heat flux surface in porous mediu. - Applied Mathematics and Computation, vol.152, pp.323-335.
  • Lavine A.S. (1988): Analysis of fully developed opposing mixed convection between inclined parallel plates. - Warme Stoffubertragung, vol.23, pp.249-257.
  • Lukaszewiez G. (1999): Microplar fluids: Theory and Applications. - Basel: Birkhauser.
  • Prathap Kumar J, Umavathi J.C., Pop I. and Basavaraj Biradar M. (2009): Fully developed mixed convection flow in a vertical channel containing porous and fluid layer with isothermal or isoflux boundaries. - TIPM, DOI 10.1007/s11242-009-9347-8, 2009.
  • Rees D.A.S. and Pop I. (1998): Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate . - IMA J. Appl. Math., vol.61, pp.170-197.
  • Umavathi J.C., Prathap Kumar J. and Chamkha Ali J. (2008): Flow and heat transfer of a micropolar fluid sandwiched between viscous fluid layers. - Candian J. of Physics, vol.86, pp.961-973.
  • Umavathi J.C. and Malashetty M.S. (2005): Magnetohydrodynamic mixed convection in a vertical channel. - Int. J. Non-Linear Mech., vol.40, pp.91-101.
  • Umavathi J.C., Mallikarjun Patil B. and Pop I. (2006): On laminar mixed convection flow in a vertical porous stratum with symmetric wall heating conditions. - Int. J. Transp. Phenom, vol.8, pp.1-14.
  • Vajravelu K. and Hadjinicolaou A. (1993): Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generators. - Int. Commun. Heat Mass Transfer, vol.20, pp.417-430.
  • Vajravelu K. and Nayfeh J. (1992): Hydro magnetic convection at a cone and a wedge. - Int. Commun. Heat Mass Transfer, vol.19, pp.701-710.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0015-0031
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