Extended Stokes' Problems for Relatively Moving Porous Half-Planes
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A shear flow motivated by relatively moving half-planes is theoretically studied in this paper.
Either the mass influx or the mass efflux is allowed on the boundary.
This flow is called the extended Stokes' problems.
Traditionally, exact solutions to the Stokes' problems can be readily obtained by directly applying the integral transforms to the momentum equation and the associated boundary and initial conditions.
However, it fails to solve the extended Stokes' problems by using the integral-transform method only.
The reason for this difficulty is that the inverse transform cannot be reduced to a simpler form.
To this end, several crucial mathematical techniques have to be involved together with the integral transforms to acquire the exact solutions.
Moreover, new dimensionless parameters are defined to describe the flow phenomena more clearly.
On the basis of the exact solutions derived in this paper, it is found that the mass influx on the boundary hastens the development of the flow, and the mass efflux retards the energy transferred from the plate to the far-field fluid.
American Psychological Association (APA)
Liu, Chi-Min. 2010. Extended Stokes' Problems for Relatively Moving Porous Half-Planes. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-452839
Modern Language Association (MLA)
Liu, Chi-Min. Extended Stokes' Problems for Relatively Moving Porous Half-Planes. Mathematical Problems in Engineering No. 2009 (2009), pp.1-10.
https://search.emarefa.net/detail/BIM-452839
American Medical Association (AMA)
Liu, Chi-Min. Extended Stokes' Problems for Relatively Moving Porous Half-Planes. Mathematical Problems in Engineering. 2010. Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-452839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452839