# Flow and heat transfer in a liquid film over a permeable stretching sheet

R. C. Aziz, Ishak Hashim, A. K. Alomari

Research output: Contribution to journalArticle

3 Citations (Scopus)

### Abstract

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.

Original language English 487586 Journal of Applied Mathematics 2013 https://doi.org/10.1155/2013/487586 Published - 2013

### Fingerprint

Stretching Sheet
Liquid films
Stretching
Heat Transfer
Liquid
Heat transfer
Temperature Profile
Blow molding
Ordinary differential equations
Boundary layers
Temperature distribution
Homotopy Analysis Method
Similarity Transformation
Series Solution
Suction
Nonlinear Ordinary Differential Equations
Velocity Profile
Temperature
Temperature Field
Permeability

### ASJC Scopus subject areas

• Applied Mathematics

### Cite this

Flow and heat transfer in a liquid film over a permeable stretching sheet. / Aziz, R. C.; Hashim, Ishak; Alomari, A. K.

In: Journal of Applied Mathematics, Vol. 2013, 487586, 2013.

Research output: Contribution to journalArticle

@article{52758a217286448984a656593a1315e9,
title = "Flow and heat transfer in a liquid film over a permeable stretching sheet",
abstract = "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.",
author = "Aziz, {R. C.} and Ishak Hashim and Alomari, {A. K.}",
year = "2013",
doi = "10.1155/2013/487586",
language = "English",
volume = "2013",
journal = "Journal of Applied Mathematics",
issn = "1110-757X",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Flow and heat transfer in a liquid film over a permeable stretching sheet

AU - Aziz, R. C.

AU - Hashim, Ishak

AU - Alomari, A. K.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84874830732&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874830732&partnerID=8YFLogxK

U2 - 10.1155/2013/487586

DO - 10.1155/2013/487586

M3 - Article

AN - SCOPUS:84874830732

VL - 2013

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

SN - 1110-757X

M1 - 487586

ER -