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Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
Author(s) -
R. C. Aziz,
Ishak Hashim,
A‎. ‎K‎. Alomari
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/487586
Subject(s) - homotopy analysis method , heat transfer , mechanics , boundary layer , flow (mathematics) , ordinary differential equation , mathematics , nonlinear system , materials science , matrix similarity , thermodynamics , partial differential equation , mathematical analysis , homotopy , differential equation , physics , quantum mechanics , pure mathematics
An analysis has been carried out to study the flow and heat transfer in a liquid film over a permeable stretching sheet. Using similarity transformations,the time-dependent boundary layer equations are reduced to a set of nonlinear ordinary differential equations. The resulting parameter problem and velocity as well as temperature fields are solved using the homotopy analysis method (HAM). Analytic series solutions are given, and numerical results for velocity and the temperature profiles are presented through graphs of different values for pertinent parameter. The effects of unsteadiness parameter and permeability parameter on the velocity and temperature profiles are explored for different values of blowing or suction parameter

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