Title
Heat transfer in unsteady axisymmetric second grade fluid
Abstract
This work looks at the heat transfer effects on the flow of a second grade fluid over a radially stretching sheet. The axisymmetric flow of a second grade fluid is induced due to linear stretching of a sheet. Mathematical analysis has been carried out for two heating processes, namely (i) with prescribed surface temperature (PST case) and (ii) prescribed surface heat flux (PHF case). The modelled non-linear partial differential equations in two dependent variables are reduced into a partial differential equation with one dependent variable. The resulting non-linear partial differential equations are solved analytically using homotopy analysis method (HAM). The series solutions are developed and the convergence is properly discussed. The series solutions and graphs of velocity and temperature are constructed. Particular attention is given to the variations of emerging parameters such as second grade parameter, Prandtl and Eckert numbers.
Year
DOI
Venue
2009
10.1016/j.amc.2009.07.021
Applied Mathematics and Computation
Keywords
Field
DocType
radial stretching,ham solution,convergence,heat transfer analysis,unsteady axisymmetric flow,second grade fluid,mathematical analysis,surface temperature,homotopy analysis method,partial differential equation,heat transfer,heat flux
Prandtl number,Boundary value problem,Heat flux,Mathematical analysis,Heat transfer,Initial value problem,Homotopy analysis method,Numerical analysis,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
215
5
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
I. Ahmad120.99
M. Sajid2175.95
T. Hayat313350.23