Title
Series solutions of non-Newtonian nanofluids with Reynolds' model and Vogel's model by means of the homotopy analysis method.
Abstract
Heat transfer plays an important role in the handling and processing of non-Newtonian nanofluids. In this paper, the fully developed flow of an incompressible, thermodynamically compatible non-Newtonian third-grade nanofluid in coaxial cylinders is studied. Two illustrative models of variable viscosity, namely (i) Reynolds’ model and (ii) Vogel’s model, are considered. Analytic solutions of velocity, temperature, and nanoparticle concentration are first developed by the homotopy analysis method (HAM), and then the role of pertinent parameters is illustrated graphically. Convergence of the obtained series solutions has been discussed explicitly and the recurrence formulae for finding the coefficients are also given in each case.
Year
DOI
Venue
2012
10.1016/j.mcm.2011.11.043
Mathematical and Computer Modelling
Keywords
Field
DocType
Non-Newtonian nanofluid,Reynolds’ model,Vogel’s model,Variable viscosity,Porosity effects,Heat transfer analysis,Nonlinear coupled equations,Analytical solutions,Convergence
Convergence (routing),Compressibility,Mathematical optimization,Mathematical analysis,Heat transfer,Viscosity,Flow conditioning,Homotopy analysis method,Mathematics,Non-Newtonian fluid,Nanofluid
Journal
Volume
Issue
ISSN
55
7
0895-7177
Citations 
PageRank 
References 
6
0.78
1
Authors
3
Name
Order
Citations
PageRank
R. Ellahi1259.56
M. Raza260.78
K. Vafai3193.01