Similarity Solution of Forced Convection Flow of Powell-Eyring & Prandtl-Eyring Fluids by Group-Theoretic Method

Hemangini Shukla; Jayshri Patel; Hema C. Surati; Manisha Patel; M.G. Timol

doi:10.15415/mjis.2017.52012

Authors

Hemangini Shukla Department of Mathematics, Government Engg. College, Gandhinagar-382028, Gujarat, India
Jayshri Patel Department of Mathematics, Smt S.R. PatelEngg.College, Dabhi-Unjha-384170, Gujarat, India
Hema C. Surati Department of Mathematics, Sarvajanik College of Engg.& Technology, Surat-395001, Gujarat, India
Manisha Patel Department of Mathematics, Sarvajanik College of Engg.& Technology, Surat-395001, Gujarat, India
M.G. Timol Department of Mathematics, Veer Narmad South Gujarat University, Magdalla Road, Surat-395007, Gujarat, India

DOI:

https://doi.org/10.15415/mjis.2017.52012

Keywords:

Non-Newtonian fluid, Generalized group theoretic method, Powell-Eyringmodel, Prandtl-Eyring model, Forced convection.

Abstract

Generalized one parameter group theoretical method is applied to study Powell-Eyring and Prandtl-Eyring fluid models for heat transfer in forced convection boundary layer flow. The velocity and the temperature variations for two dimensional steady incompressible, laminar forced convection flow of both fluid modelspast a flat plate is considered. Velocity and temperature variation for different values offluid index and physical parameter A,B,α,β and Pr are presented graphically. Also, comparison for both fluid models is done graphically.

Downloads

Download data is not yet available.

References

Hansen A.G. and Na T.Y., (1968). “Similarity solution of laminar, Incompressible boundary layer equations of non-Newtonian fluid”, Journal of basic engineering, 67.

Hayat T, Saeed Y, Alsaedi A, (2015). Asad S Effects of Convective Heat and Mass Transfer inFlow of Powell-Eyring Fluid Past an Exponentially Stretching Sheet. PLOS ON E 10(9).

Hema Surati, M.G. Timol (2010). “Numerical study of forced convection wedge flow of some non–Newtonian fluids” IJAMM (18), 50–65.

Hema C. Surati, Hemangini Shukla and M.G. Timol. “On the Transformation of Non-Newtonian Boundary value problem to Initial value problem” Int. J. ofEngg.Sc. Invention Research & Development; Vol. III, Issue III, September 2016.

H.T. Lin, L.K. Lin “Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number”, Int. J. Heat Mass Tran., 30, pp.1111–1118, 1987.

Kapur J N, (1963). “Note on the boundary layer equations for power-law fluids”, J. Phys.Soc. Japan, 18, 144.

K. V. Prasad, P. S. Datti, B. T. Raju, (2013). “Momentum and heat transfer of a non -Newtonian Eyring- 230–241.

Manisha Patel, M.G. Timol, (2009). “Numerical treatment of Powell–Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions” (MSABC), Applied Numerical Mathematics 59, 2584–2592.

Manisha Patel, M.G. Timol (2010). “The stress-strain relationship for viscous-inelastic non-Newtonian fluids”, Int. J. Appl. Math. Mech., 6(12), 79–93.

Moran, M. J. and Gaggioli, R. (1968). “A Reduction of the Number of Variables in Systems of Partial Differential Equations with Auxiliary Conditions”, SIAM J. Appl. Math. 16, pp. 202–215.

M. Pakdemirli, (1994) “Similarity analysis of boundary layer equations of a class of non-Newtonian fluids”, Int. J. nonlinear mechanics 29, 187–196.

Munir A, Shahzad A, Khan M, (2014). “Force Convective Heat Transfer in Boundary Layer Flow of Sisko Fluid over a Nonlinear Stretching Sheet.” PLOS ONE, 9(6).

Nita Jain, R.M. Darji, M.G. Timol (2014). “Similarity solution of natural convection boundary layer flow of non-Newtonian Sutterby fluids”, (IJAMM) 2(2) (150-158 (ISSN:2347-2529).

Patel, M., Surati, H., Chanda, M.S. and Timol, M.G. (2013). “Models of Various Non-Newtonian Fluids”, International E-journal of education and mathematics (IEJEM), 2(4), 21–36.

T.Y. Na, (1994). “Boundary layer flow of Reiner–Philipoff fluids”, Int. J. Non-Linear Mech. 29(6), 871–877.

V S. Patil, Nalini S. Patil, M. G. Timol (2015). “A remark on similarity analysis of boundary layer equations of a class of non-Newtonian fluids” International Journal Non-Linear Mechanics, 2.71 127–131.