Similarity transformations for boundary layer equations in unsteady mixed convection

Syed M. Zubair; Prasanna V. Kadaba

doi:10.1016/0735-1933(90)90055-O

Similarity transformations for boundary layer equations in unsteady mixed convection

Syed M. Zubair^*, Prasanna V. Kadaba

^*Corresponding author for this work

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

4 Scopus citations

Abstract

The group transformation method permits the transformation of partial differential equations describing the transient and steady boundary-layer flow in a mixed-convection into the ordinary differential equations. The main emphasis in this paper is placed on constructing similarity variables of the mixed-convection problem by solving invariant conditions of the governing differential equations under the continuous transformation of one parameter group. Several limiting cases of the transient mixed-convection problem are explored. It is found that the present analysis covers some well known similarity solutions as well as new solutions.

Original language	English
Pages (from-to)	215-226
Number of pages	12
Journal	International Communications in Heat and Mass Transfer
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/0735-1933(90)90055-O
State	Published - 1990

Bibliographical note

Funding Information:
The authors wishes to acknowledge the support provided by the King Fahd University of Petroleum & Minerals for this research project.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
General Chemical Engineering
Condensed Matter Physics

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10.1016/0735-1933(90)90055-O

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title = "Similarity transformations for boundary layer equations in unsteady mixed convection",

abstract = "The group transformation method permits the transformation of partial differential equations describing the transient and steady boundary-layer flow in a mixed-convection into the ordinary differential equations. The main emphasis in this paper is placed on constructing similarity variables of the mixed-convection problem by solving invariant conditions of the governing differential equations under the continuous transformation of one parameter group. Several limiting cases of the transient mixed-convection problem are explored. It is found that the present analysis covers some well known similarity solutions as well as new solutions.",

author = "Zubair, \{Syed M.\} and Kadaba, \{Prasanna V.\}",

note = "Funding Information: The authors wishes to acknowledge the support provided by the King Fahd University of Petroleum \& Minerals for this research project.",

year = "1990",

doi = "10.1016/0735-1933(90)90055-O",

language = "English",

volume = "17",

pages = "215--226",

journal = "International Communications in Heat and Mass Transfer",

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T1 - Similarity transformations for boundary layer equations in unsteady mixed convection

AU - Zubair, Syed M.

AU - Kadaba, Prasanna V.

N1 - Funding Information: The authors wishes to acknowledge the support provided by the King Fahd University of Petroleum & Minerals for this research project.

PY - 1990

Y1 - 1990

N2 - The group transformation method permits the transformation of partial differential equations describing the transient and steady boundary-layer flow in a mixed-convection into the ordinary differential equations. The main emphasis in this paper is placed on constructing similarity variables of the mixed-convection problem by solving invariant conditions of the governing differential equations under the continuous transformation of one parameter group. Several limiting cases of the transient mixed-convection problem are explored. It is found that the present analysis covers some well known similarity solutions as well as new solutions.

AB - The group transformation method permits the transformation of partial differential equations describing the transient and steady boundary-layer flow in a mixed-convection into the ordinary differential equations. The main emphasis in this paper is placed on constructing similarity variables of the mixed-convection problem by solving invariant conditions of the governing differential equations under the continuous transformation of one parameter group. Several limiting cases of the transient mixed-convection problem are explored. It is found that the present analysis covers some well known similarity solutions as well as new solutions.

UR - https://www.scopus.com/pages/publications/0025404618

U2 - 10.1016/0735-1933(90)90055-O

DO - 10.1016/0735-1933(90)90055-O

M3 - Article

AN - SCOPUS:0025404618

SN - 0735-1933

VL - 17

SP - 215

EP - 226

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

IS - 2

ER -

Similarity transformations for boundary layer equations in unsteady mixed convection

Abstract

Bibliographical note

ASJC Scopus subject areas

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