Exact solutions of thin film flows

S. Asghar; T. Hayat; A. H. Kara

doi:10.1007/s11071-006-9153-6

Exact solutions of thin film flows

S. Asghar
, T. Hayat
, A. H. Kara

COMSATS University Islamabad
Quaid-I-Azam University
University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This article studies the analytical solutions for two thin film flow problems on a moving belt. The reduction of the equations follows from their Lie point symmetry generators and conservation laws which are valid for the considered boundary conditions also. The solutions for the two problems are developed using the correct and nonlinear boundary condition for the free surface. Mathematica is adopted for some of the analysis.

Original language	English
Pages (from-to)	229-233
Number of pages	5
Journal	Nonlinear Dynamics
Volume	50
Issue number	1-2
DOIs	https://doi.org/10.1007/s11071-006-9153-6
State	Published - Oct 2007
Externally published	Yes

Keywords

Correct boundary conditions
Exact solutions
Nonlinear film flow problems

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10.1007/s11071-006-9153-6

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title = "Exact solutions of thin film flows",

abstract = "This article studies the analytical solutions for two thin film flow problems on a moving belt. The reduction of the equations follows from their Lie point symmetry generators and conservation laws which are valid for the considered boundary conditions also. The solutions for the two problems are developed using the correct and nonlinear boundary condition for the free surface. Mathematica is adopted for some of the analysis.",

keywords = "Correct boundary conditions, Exact solutions, Nonlinear film flow problems",

author = "S. Asghar and T. Hayat and Kara, \{A. H.\}",

year = "2007",

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doi = "10.1007/s11071-006-9153-6",

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journal = "Nonlinear Dynamics",

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AU - Asghar, S.

AU - Hayat, T.

AU - Kara, A. H.

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N2 - This article studies the analytical solutions for two thin film flow problems on a moving belt. The reduction of the equations follows from their Lie point symmetry generators and conservation laws which are valid for the considered boundary conditions also. The solutions for the two problems are developed using the correct and nonlinear boundary condition for the free surface. Mathematica is adopted for some of the analysis.

AB - This article studies the analytical solutions for two thin film flow problems on a moving belt. The reduction of the equations follows from their Lie point symmetry generators and conservation laws which are valid for the considered boundary conditions also. The solutions for the two problems are developed using the correct and nonlinear boundary condition for the free surface. Mathematica is adopted for some of the analysis.

KW - Correct boundary conditions

KW - Exact solutions

KW - Nonlinear film flow problems

UR - https://www.scopus.com/pages/publications/34548275042

U2 - 10.1007/s11071-006-9153-6

DO - 10.1007/s11071-006-9153-6

M3 - Article

AN - SCOPUS:34548275042

SN - 0924-090X

VL - 50

SP - 229

EP - 233

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1-2

ER -

Exact solutions of thin film flows

Abstract

Keywords

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