Asymptotic solution for heat convection-radiation equation
Journal Article
·
· AIP Conference Proceedings
- School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang (Malaysia)
- Department of Engineering Sciences, National University of Sciences and Technology, PN Engineering College, Karachi, 75350 (Pakistan)
In this paper, we employ a new approximate analytical method called the optimal homotopy asymptotic method (OHAM) to solve steady state heat transfer problem in slabs. The heat transfer problem is modeled using nonlinear two-point boundary value problem. Using OHAM, we obtained the approximate analytical solution for dimensionless temperature with different values of a parameter ε. Further, the OHAM results for dimensionless temperature have been presented graphically and in tabular form. Comparison has been provided with existing results from the use of homotopy perturbation method, perturbation method and numerical method. For numerical results, we used Runge-Kutta Fehlberg fourth-fifth order method. It was found that OHAM produces better approximate analytical solutions than those which are obtained by homotopy perturbation and perturbation methods, in the sense of closer agreement with results obtained from the use of Runge-Kutta Fehlberg fourth-fifth order method.
- OSTI ID:
- 22306154
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1605; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Mixed convective thermally radiative micro nanofluid flow in a stretchable channel with porous medium and magnetic field
Analysis of the Spectral Stability of the Generalized Runge–Kutta Methods Applied to Initial-Boundary-Value Problems for Equations of the Parabolic Type. II. Implicit Methods
Mixed convective heat transfer to Sisko fluid over a radially stretching sheet in the presence of convective boundary conditions
Journal Article
·
Tue Mar 15 00:00:00 EDT 2016
· AIP Advances
·
OSTI ID:22611606
Analysis of the Spectral Stability of the Generalized Runge–Kutta Methods Applied to Initial-Boundary-Value Problems for Equations of the Parabolic Type. II. Implicit Methods
Journal Article
·
Mon Jan 14 23:00:00 EST 2019
· Journal of Mathematical Sciences
·
OSTI ID:22773577
Mixed convective heat transfer to Sisko fluid over a radially stretching sheet in the presence of convective boundary conditions
Journal Article
·
Sat Aug 15 00:00:00 EDT 2015
· AIP Advances
·
OSTI ID:22492331