Influence of Thermal Radiation on Unsteady Free Convection MHD Flow of Brinkman Type Fluid in a Porous Medium with Newtonian Heating
Joint Authors
Ulhaq, Sami
Khan, Ilyas
Shafie, Sharidan
Ali, Farhad
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The focus of this paper is to analyze the influence of thermal radiation on some unsteady magnetohydrodynamic (MHD) free convection flows of an incompressible Brinkman type fluid past a vertical flat plate embedded in a porous medium with the Newtonian heating boundary condition.
The fluid is considered as a gray absorbing-emitting but nonscattering medium and the Rosseland approximation in the energy equations is used to describe the radiative heat flux for optically thick fluid.
For a detailed analysis of the problem, four important situations of flow due to (i) impulsive motion of the plate (ii) uniform acceleration of the plate (iii) nonuniform acceleration of the plate, and (iv) highly nonuniform acceleration of the plate are considered.
The governing equations are first transformed into a system of dimensionless equations and then solved analytically using the Laplace transform technique.
Numerical results for temperature and velocity are shown graphically, while skin friction and Nusselt number are computed in tables.
The results show that temperature and velocity increase on increasing radiation and Newtonian heating parameters.
However, the results of magnetic and porosity parameters on velocity are found quite opposite.
American Psychological Association (APA)
Ali, Farhad& Khan, Ilyas& Ulhaq, Sami& Shafie, Sharidan. 2013. Influence of Thermal Radiation on Unsteady Free Convection MHD Flow of Brinkman Type Fluid in a Porous Medium with Newtonian Heating. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1032046
Modern Language Association (MLA)
Ali, Farhad…[et al.]. Influence of Thermal Radiation on Unsteady Free Convection MHD Flow of Brinkman Type Fluid in a Porous Medium with Newtonian Heating. Mathematical Problems in Engineering No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1032046
American Medical Association (AMA)
Ali, Farhad& Khan, Ilyas& Ulhaq, Sami& Shafie, Sharidan. Influence of Thermal Radiation on Unsteady Free Convection MHD Flow of Brinkman Type Fluid in a Porous Medium with Newtonian Heating. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1032046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032046