MIXED CONVECTION PHENOMINA AFFECTED BY RADIATION IN A HORIZONTAL RECTANGULAR DUCT WITH COCENTRIC AND ECCENTRIC CIRCULAR CORE
Main Article Content
Abstract
The numerical investigation has been performed to study the radiation affected steady state laminar mixed convection induced by a hot inner varied positions circular core in a horizontal rectangular channel for a fully developed flow. To examine the effects of thermal radiation on thermo fluid dynamics behavior in the eccentric geometry channel, the generalized body fitted co-ordinate system is introduced while the finite difference method is used for solving the radiative transport equation. The governing equations which used are continuity, momentum and energy equations. These equations are normalized and solved using the Vorticity-Stream function. After validating numerical results for the case without radiation, the detailed radiation effect is discussed. From the parametric study, the Nusselt number (Nu) distributions in steady state were obtained for Aspect Ratio AR (0.55-1) and Geometry Ratio GR (0.1-0.9). The fluid Prandtl number is 0.7, Rayleigh number (0 ≤ Ra ≤ 104), Reynolds number Re (1-2000), Optical Thickness (0 ≤ t ≤ 10), Conduction-Radiation parameter (0 ≤ N ≤ 100) for the range of parameters considered. It is indicated in the results that heat transfer from the surface of the circular core exceeds that of the rectangle duct and when circular core is lower than the center of the channel, the rate of heat transfer decreased. The correlation equations are concluded to describe the radiation effect.
Article Details
Section
How to Cite
References
• Anderson A., Tannehill C. and Pletcher H. (1984), "Computational Fluid Mechanics and Heat Transfer", McGr
• Bahlaoui A., Raji A., and Hasnoui M., (2005), “Multiple Steady State Solutions Resulting From Coupling Between Mixed
Convection and Radiation In An Inclined Rectangular Channel”, Int. J. of Mass Heat Transfer
• (http://www.springerlink.com/content/rv03480249507w41/).
• Fletcher C. A. J., (1988),"Computational Fluid Techniques for Fluid Dynamics 2", Springer-Verlag.
• Gururaja Rao C., (2004), “Numerical Investigation into Multi-Mode Heat Transfer from a Vertical Channel with Uniform
and Discrete Wall Heat Generation”, HPC 2004-3th International Conference on Heat Powered Cycles.
• Kim D. M. and Viskanta R., (1984), “Heat Transfer by Conduction, Natural Convection and Radiation across a Rectangular Cellular Structure”, Int. J. of Heat and Fluid Flow, Vol.5, No.4, PP.205-213
• (www.springerlink.com/index/6R 7T68Q705W73311.pdf).
• Larson D. W. and Viskanta R., (1976), “Transient Combined Laminar Free Convection and Radiation in a Rectangular
Enclosure”, J. Fluid Mechanics, Vol.78, Part 1, PP.65-85.
• Pu W. L., Cheng P. and Zho T. S., (1991), "An Experimental Study of Mixed Convection Heat Transfer in Vertical Packed
Channel", AIAA, J. of Thermophysics and Heat Transfer, Vol.13, No.4, PP.517-521.
• Yang G. and Ebadian M. A., (1991), "Thermal Radiation and Laminar Forced Convection in the Entrance of a Pipe With Axial Conduction and Radiation", Int . J. Heat Fluid Flow, Vol.12, no. 3, pp. 202-209.