Simulation of Free Convection from an Inclined Heated Thin Plate in a Square Enclosure

Authors

  • Qahtan Abdul Zahra Department of Mechanical Engineering/ College of Engineering/ University of Kufa
  • Ahmed N. Mehdy Department of Mechanical Engineering/ College of Engineering/ University of Kufa
  • Nora M. Sahib Department of Computer Science/ Educational College of Girls/ University of Kufa

Abstract

Simulation of free convection heat transfer in a square enclosure induced by heated thin plate is represented numerically. All  the enclosure walls have constant temperature lower than the plate’s temperature. The flow is assumed to be two-dimensional. The discretized equations were solved stream function, vorticity, and energy equations by finite difference method using explicit technique and Successive Over- Relaxation method. The study was performed for different values of Rayleigh number ranging from 103 to 105 for different angle position of heated thin plate(0°, 45°, 90°). Air was chosen as a working fluid (Pr = 0.71). Aspect ratio of center of plate to the parallel left wall A2 take a constant and is equal to 0.5. The effect of the angle position of the heated thin plate on heat transfer and flow were addressed. With the increase of Rayleigh number heat transfer rate increased in both vertical and horizontal position of the plate. For the vertical situation (γ=90°) of thin plate, heat transfer becomes more enhanced than for the horizontal situation (γ=0°) and the inclined situation (γ=45°) especially when the value of aspect ratio A1 is equal to 0.25.

Downloads

Download data is not yet available.

References

[1] G. R. Ahmed and M. M. Yovanovich,“ Numerical Study of Natural Convection from Discrete Heat Sources in a Vertical Square Enclosure”, J. THERMOPHYSICS , VOL. 6, NO. 1, JAN.-MARCH ,pp.121-127, 1992.
[2] E. Bilgen, H. Oztop, “Natural convection heat transfer in partially open inclined square cavities”, Int.J.Heat Mass Transfer, Vol.48, pp.1470-1479, 2005.
[3] C. Rossano, G. Saulo, “Natural Convection at Isothermal Vertical Plate: Neighborhood Influence” 18th International Congress of Mechanical Engineering November 6-11, 2005,
[4] P. Kandaswamy, J. Lee, A.K. Abdul Hakeem “Natural Convection in a Square Cavity in the Presence of Heated Plate ” ,Nonlinear Analysis: Modeling and Control, Vol. 12, No. 2, pp.203–212, 2007.
[5] N. Nithyadevi, P. Kandaswamy, J. Lee , “Natural convection in a rectangular cavity with partially active side walls ”, Int.J.Heat Mass Transfer, Vol.50,pp. 4688–4697, 2007.
[6] F. Xu, J.C. Patterson and C. Lei, “Transient Natural Convection in a Differentially Heated Cavity with a Thin Fin of Different Lengths on a Sidewall ”, pp. 402–405, 16th Australasian Fluid Mechanics Conference, Crown Plaza, Gold Coast, Australia, 2-7 December 2007.
[7] T. Avedissian, D. Naylor, “Free convection heat transfer in an enclosure with an internal louvered blind”, Int.J.Heat and Mass Transfer, Vol.51,pp. 283–293, 2008.
[8] A.D.Anderson, C.J.Tannehill, and H.R.Pletcher, "Computational Fluid Mechanics and Heat Transfer” ,Hemisphere, New York, 1984.
[9] Chuen-Yen Chow, “An Introduction to Computational Fluid Mechanics”, John Wiley & Sons.Inc, New York, 1979.
[10] Roache, J., "Computational Fluid Dynamics "Hermosa, Albuquerque, New Mexico, 1972.
[11] Bejan, A., "Convection Heat Transfer”.John Wiley & Son.Inc, New York, 1984.

Downloads

Published

2009-06-01

How to Cite

Simulation of Free Convection from an Inclined Heated Thin Plate in a Square Enclosure. (2009). Al-Khwarizmi Engineering Journal, 5(2), 32-43. https://alkej.uobaghdad.edu.iq/index.php/alkej/article/view/557

Publication Dates