Numerical Solution of Non-Newtonian Fluids Flow Past an Accelerated Vertical Infinite Plate in the Presence of Free Convection Currents
More details
Hide details
Department of Mathematics Sarvajanik College of Engineering and Technology Surat-395001, Gujarat, INDIA
Department of Mathematics Veer Narmad South Gujarat University Magdalla Road, Surat-395007, Gujarat, INDIA
Online publication date: 2013-09-06
Publication date: 2013-08-01
International Journal of Applied Mechanics and Engineering 2013;18(3):761-777
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
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.
Journals System - logo
Scroll to top