Effects of Circular Cylindrical Block On Heat Flow For MHD Free Convection In A Non-Uniformly Heated Trapezoidal Enclosure

Year 2016, , 40 - 48, 10.10.2016

Md. Nasir Uddin Md. Abdul Alim Abdul Halim Bhuiyan

https://doi.org/10.24107/ijeas.255034

Abstract

MHD free convection in trapezoidal cavities has
attracted the interest of many researchers due to its importance applications
in several thermal engineering problems such as in the design of electronic
devices, solar thermal receivers, and uncovered flat plate solar collectors
having rows of vertical strips geothermal reservoirs, and so on. This analysis
is largely concerned with the effects of circular cylindrical block on heat
flow for MHD free convection in a non-uniformly heated trapezoidal enclosure.
Free convection within a trapezoidal enclosure is considered as non-uniformly
heated bottom wall and insulated top wall while side walls are isothermal with
inclination angles (). Heat flows in the presence of free convection
within trapezoidal enclosures have been analyzed with heatlines concept. A set
of Similarity transformations are used to transform the momentum and energy
equations under consideration into coupled non-dimensional governing equations.
The non-dimensional governing equations are discretized by using Galerkin
weighted residual method of finite element formulation. The numerical results
are presented in terms of streamlines, isotherms, local Nusselt number along
the bottom wall for non-uniform heating for different combinations of the
governing parameters namely Prandtl number Pr, Hartmann number Ha and Rayleigh number Ra. The validity of
the numerical results is checked graphically by comparing the results obtained
for some specific cases with those available in the literature, and a
comparatively excellent agreement is reached.

Keywords

Cylindrical block, free convection, MHD, non-uniform heat, trapezoidal enclosure

References

• Basak, T., Anandalakshmi, R., Pushpendra, K. and Roy, S., Entropy generation vs energy flow due to natural convection in a trapezoidal cavity with isothermal and non-isothermal hot bottom wall, Energy, Vol. 37, Issue 1, pp. 514-532, January 2012.