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Numerical solution of non-Newtonian fluids flow past an accelerated vertical infinite plate in the presence of free convection currents

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A similarity analysis of non-Newtonian fluid flow past an accelerated vertical infinite plate in the presence of free convection current is carried out. A group theoretic generalized dimensional analysis is employed to achieve the governing non-linear ordinary differential equations in the most general form. Numerical solutions of these equations are given with the plot of their velocity profiles with the effects of Pr-Prandtl number and Gr-Grashof number.
Rocznik
Strony
761--777
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
  • Department of Mathematics Sarvajanik College of Engineering and Technology Surat-395001, Gujarat, India
autor
  • Department of Mathematics Veer Narmad South Gujarat University Magdalla Road, Surat-395007, Gujarat, India
Bibliografia
  • Bickley W.G. (1968): Piecewise cubic interpolation and two-point boundary problems. – Comput. J., vol.11, pp.206-208.
  • Bird R.B., Stewart W.E. and Lightfoot F.W. (1960): Transport Phenomena. – John Wiley.
  • Cheng P. and Minkowycz W.J. (1977): Free convection about a vertical plate embedded in a porous medium with application to heat transfer from a dike. – J. Geophys. Res, vol.82, pp.2040-2044.
  • De Boor C. (1978): A Practical Guide to Splines. – New York: Springer. Verlag.
  • Dunn M.W. (1999): Non-Newtonian fluid flow through fabrics. – National Textile Center Annual Report: November, M98-P02.
  • Hansen A.G. and Na T.Y. (1968): Similarity solutions of laminar, incompressible boundary layer equations of non-Newtonian fluids. – Journal of Basic Engineering, vol.90, pp.71-74.
  • Kapur J.N. (1963): Note on the boundary layer equations for power-law fluids. – J. Phys. Soc. Japan, vol.18, pp.144.
  • Metzner A.B. (1965): Heat transfer in non-Newtonian fluid. – Adv. Heat Transfers, vol.2, pp.357-397.
  • Moran M.J. and Murshek K.M. (1972): Some matrix aspects of generalized dimensional analysis. – J. Engg. Maths., vol.6, p.291.
  • Morgan A.J.A. (1952): The reduction by one of the number of independent variables in some systems of partial differential equations. – Quart, J. Math, Oxford, vol.2, p.250.
  • Muthucumaraswamy R. and Shankar M.R. (2011): First order chemical reaction and thermal radiation effects on unsteady flow past an accelerated isothermal infinite vertical plate. – Indian Journal of Science and Technology, vol.4, No.5.
  • Muthucumaraswamy R., Lal T. and Ranganayakulu D. (2011): Rotation effects on MHD flow past an accelerated vertical plate with variable temperature and uniform mass diffusion. Analysis of faculty engineering hunedoara. – International Journal of Engineering, vol.9, p.1.
  • Nakayama A. and Koyama H. (1988): An analysis for friction and heat transfer characteristics of power-law non-Newtonian fluid flows past bodies of arbitrary geometrical configuration. – Warme-und Stoffubertragung, vol.22, pp.29-37.
  • Neossi Nguetchue S.N., Abelman S. and Momoniat E. (2009): Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane. – Applied Mathematical Modeling, vol.33, pp.4364–4377.
  • Patel M. and Timol M.G. (2004): On the class of similarity solutions for three-dimensional boundary layer flows of non-Newtonian fluids. – Journal of Veer Narmad South Gujarat University, vol.2B, pp.103-109.
  • Patel M. and Timol M.G. (2005): Similarity solutions for three-dimensional, laminar, incompressible boundary layer equation of non-Newtonian fluids by generalized dimensional analysis. – Varahmihir Journal of Mathematical Sciences, vol.5, No.2, pp.387-394.
  • Patel M. and Timol M.G. (2008): Similarity solutions of three-dimensional boundary layer Small-cross flows of Power law fluid. – International Journal of Mathematical Sciences and Engineering Application (IJMSEA), vol.2, No.1, pp.167-174.
  • Patel M. and Timol M.G. (2009): Numerical solution of the equation for unsteady boundary layer flow of non-Newtonian fluids past semi-infinite plate. – International Journal of Applied Mechanics and Mathematics (IJAMM), vol.5, No.3, pp.22-29.
  • Patel M. and Timol M.G. (2009): Numerical treatment of Powell–Eyring fluid flow using method of satisfaction of asymptotic boundary conditions (MSABC). – J. of Applied Numerical Mathematics, Applied Numerical Mathematics, vol.59, pp.2584–2592 (Elsevier).
  • Patel M. and Timol M.G. (2010): The general stress–strain relationship for some different visco-inelastic non-Newtonian fluids. – International Journal of Applied Mechanics and Mathematics (IJAMM), vol.6 (12), pp.79-93.
  • Prenter P.M. (1975): Spline and Variational Methods. – New York: John Wiley and Sons.
  • Sharma P.R. and Mathur P. (1995): Steady laminar free convection flow of an electrically conductiong fluid along a porous hot vertical plate in the presence of heta source/sink. – Indian J. Pure and Appl. Math., vol.26(11), pp.1125-1134.
  • Skelland A.H.P. (1967): Non-Newtonian Flow and Heat Transfer. – John Wiley.
  • Soundalgekar V.M. and Pop I. (1980): Flow past an accelerated vertical infinite plate in the presence of free convection currents. – Reg. J. Energy Heat Mass Trans, vol.2.2, pp.127.
  • Sun W. (1998): Fast algorithms for high-order spline collocation systems. – Numer. Math., vol.81, pp.143-160.
  • Surati H.C. and Timol M.G. (2010): Numerical study of force convection wedge flow of some non-Newtonian fluids. – Int. J. of Appl. Math and Mech., vol.6 (18), pp.50-65.
  • Timol M.G., Doctor H.D. and Kalthia N.L. (1987): Spline solution of magneto hydrodynamic flow of non-Newtonian fluids.-Proc. of 5th. – Int. Conf. Num. Methods in Laminar and Turbulent flows, Pine ridge Press, U.K., p.1217, (Canada conf.).
  • Usmani R.A. (1992): The use of quartic splines in the numerical solution of a fourth-order boundary-value problem. – J. Comput. Appl. Math, vol.44, pp.187-199.
  • Wilkinson W.L. (1960): Non-Newtonian Fluids. – Pergamon.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7df83777-6d5a-403d-8721-b909d5c9f641
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