Symmetry Methods of Flow and Heat Transfer between Slowly Expanding or Contracting Walls
Joint Authors
Khalique, Chaudry Masood
Magalakwe, Gabriel
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An analysis has been carried out for the flow and heat transfer of an incompressible laminar and viscous fluid in a rectangular domain bounded by two moving porous walls which enable the fluid to enter or exit during successive expansions or contractions.
The basic equations governing the flow are reduced to the ordinary differential equations using Lie-group analysis.
Effects of the permeation Reynolds number Re, porosity R, and the dimensionless wall dilation rate α on the self-axial velocity are studied both analytically and numerically.
The solutions are represented graphically.
The analytical procedure is based on double perturbation in the permeation Reynolds number Re and the wall expansion ratio α, whereas the numerical solution is obtained using Runge-Kutta method with shooting technique.
Results are correlated and compared for some values of the physical parameters.
Lastly, we look at the temperature distribution.
American Psychological Association (APA)
Magalakwe, Gabriel& Khalique, Chaudry Masood. 2013. Symmetry Methods of Flow and Heat Transfer between Slowly Expanding or Contracting Walls. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008514
Modern Language Association (MLA)
Magalakwe, Gabriel& Khalique, Chaudry Masood. Symmetry Methods of Flow and Heat Transfer between Slowly Expanding or Contracting Walls. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1008514
American Medical Association (AMA)
Magalakwe, Gabriel& Khalique, Chaudry Masood. Symmetry Methods of Flow and Heat Transfer between Slowly Expanding or Contracting Walls. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008514