A novel analytical solution of mixed convection about an inclined flat plate embedded in a porous medium using the DTM-Padé

In this study, the problem of mixed convection about an inclined flat plate embedded in a porous medium is performed. The similarity transformations are applied to reduce governing partial differential equations (PDEs) to a set of nonlinear coupled ordinary differential equations (ODEs) in dimension...

Full description

Saved in:
Bibliographic Details
Published in:International journal of thermal sciences 2010-12, Vol.49 (12), p.2405-2412
Main Authors: Rashidi, Mohammad Mehdi, Laraqi, Najib, Sadri, Seyed Majid
Format: Article
Language:English
Subjects:
Convection
Convection and heat transfer
Convergence
Differential equations
Differential transform method
Exact sciences and technology
Flat plates
Flows through porous media
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical models
Mixed convection flow
Nonhomogeneous flows
Nonlinear differential equations
Nonlinearity
Padé approximant
Partial differential equations
Physics
Porous medium
Runge-Kutta method
Turbulent flows, convection, and heat transfer
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, the problem of mixed convection about an inclined flat plate embedded in a porous medium is performed. The similarity transformations are applied to reduce governing partial differential equations (PDEs) to a set of nonlinear coupled ordinary differential equations (ODEs) in dimensionless form. An efficient mathematical technique, called the differential transform method (DTM), is used to solve the nonlinear differential equations governing the problem in the form of series with easily computable terms. Then, Padé approximant is applied to the solutions to increase the convergence of given series. It has been attempted to show the reliability and performance of the DTM in comparison with the numerical method (fourth-order Runge–Kutta) in solving this problem. The obtained solutions, in comparison with the numerical solutions admit a remarkable accuracy.
ISSN:1290-0729
1778-4166
DOI:10.1016/j.ijthermalsci.2010.07.005