MHD-Buoyancy Aiding and Opposing Flows with Viscous Dissipation Effects from Radiate Vertical Surfaces
✍ Scribed by H. M. Duwairi; Rebhi A. Damseh
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 591 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0008-4034
No coin nor oath required. For personal study only.
✦ Synopsis
R&D NOTE
T he study of radiation heat transfer effects from a porous wall to a conductive gray fl uids, which can absorb and emit heat, had important applications in industrial, technological and geothermal applications such as high-temperature plasmas, nuclear engineering in connection with the cooling of nuclear reactors, liquid metal fl uids, MHD accelerators, and power generation systems. Such applications involve high temperatures, and very little is known about the effects of radiation on the boundary layer of a radiating conductive fl uid past body. The inclusion of radiation effects in the energy equation, however, leads to a highly nonlinear partial differential equation. Soundalgekar et al. (1960) have studied radiation effects on free convection fl ow of a gas past a semi-infi nite fl at plate using the Cogley-Vincenti-Giles equilibrium model. Cogely et al. (1960) and Hossain and Takhar (1996) analyzed the effect of radiation using the Rosseland diffusion approximation which leads to non-similar solutions for the forced and free convection fl ow of an optically dense fl uid from vertical surfaces with constant free stream velocity and surface temperature. Note that the Rosseland diffusion approximation provides one of the most straightforward simplifi cations of the full integro/partial differential equations governing such fl ows. Recently, Hossain et al. (1999) had studied the effect of radiation on free convection heat transfer from a porous vertical plate.
However, many authors had studied the effects of magnetic fi eld on forced and natural convection heat transfer problem (Nirmal et al., 1994;Hossain, 1992;Garandet et al., 1992). They have considered freeconvection of a conducting viscous incompressible fl uid along a vertical plate with transverse magnetic fi eld. Raptis and Singh (1983) studied the natural convection in unsteady free-convection Couette motion. In this work they have considered the unsteady free-convective fl ow of an incompressible viscous fl uid between two vertical parallel plates one of which impulsively started. Jha (2001) has extended further this study. Takhar andRam (1994) andAldoss et al. (1995) have studied the MHD mixed convection heat transfer problem for vertical surfaces embedded in saturated porous medium. Finally, Takhar et al. (2001) have analyzed the unsteady laminar MHD fl ow and heat transfer in the stagnation region of an impulsively spinning and translating sphere in the presence of buoyancy forces.