Transient Analysis of Coupled Natural Convection and Surface Thermal Radiation in a Tilted Open Cavity

Authors

  • J. F. Hinojosa University of Sonora, Blvd. Rosales y Luis Encinas, Hermosillo, Sonora, CP 83000, Mexico
  • M. E. Trujillo-Camacho University of Sonora, Blvd. Rosales y Luis Encinas, Hermosillo, Sonora, CP 83000, Mexico

DOI:

https://doi.org/10.15377/2409-5826.2015.02.02.1

Keywords:

Open cavity, transient natural convection, thermal radiation

Abstract

Numeric results of the transient heat transfer by natural convection and surface thermal radiation in a tilted open cavity are presented. The conservation equations in primitive variables are solved using the finite volume method and the SIMPLEC algorithm. The transient results are obtained for a Rayleigh number of 106 and five inclination angles (0°, 45°, 90°, 120° and 180°. The numerical model predicts flow instabilities for inclination angle of 0°, which avoids reaching the steady state. The steady state is reached after a long time for f=180°.

Author Biographies

J. F. Hinojosa, University of Sonora, Blvd. Rosales y Luis Encinas, Hermosillo, Sonora, CP 83000, Mexico

Department of Chemical Engineering and Metallurgy

M. E. Trujillo-Camacho, University of Sonora, Blvd. Rosales y Luis Encinas, Hermosillo, Sonora, CP 83000, Mexico

Department of Chemical Engineering and Metallurgy

References

Lage JL, Lim JS and Bejan A. Natural convection with radiation in a cavity with open top end. J Heat Trans-T ASME 1992; 114: 479-486. http://dx.doi.org/10.1115/1.2911298

Balaji C and Venkateshan SP. Interaction of radiation with free convection in an open cavity. Int J Heat Fluid Flow 1994; 15: 317-324. http://dx.doi.org/10.1016/0142-727X(94)90017-5

Balaji C and Venkateshan SP. Combined conduction, convection and radiation in a Slot. Int J Heat Fluid Flow 1995; 16: 139. http://dx.doi.org/10.1016/0142-727X(94)00014-4

Singh SN and Venkateshan SP. Numerical study of natural convection with surface radiation in side-vented open cavities. Int J Therm Sci 2004; 43: 865-876. http://dx.doi.org/10.1016/j.ijthermalsci.2004.01.002

Hinojosa JF, Cabanillas RE, Alvarez G and Estrada CA. Numerical study of transient and steady-state natural convection and surface thermal radiation in a horizontal square open cavity. Numer Heat Tr A-Appl 2005; 48: 179-196. http://dx.doi.org/10.1080/10407780590948936

Nouaneguea H, Muftuoglua A and Bilgen E. Conjugate heat transfer by natural convection, conduction and radiation in open cavities. Int J Heat Mass Transfer 2008; 51: 6054-6062. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2008.05.009

Hinojosa JF. Natural convection and surface thermal radiation in a tilted open shallow cavity. Revista Mexicana de Física 2012; 58: 19-28.

Wang Z, Yang M and Zhang Y. Oscillation and chaos in combined heat transfer by natural convection, conduction, and surface radiation in an open cavity. Journal of Heat Transfer 2012; 134: 09450. http://dx.doi.org/10.1115/1.4006269

Montiel-González M, Hinojosa-Palafox J and Estrada-Gasca CA. Numerical study of the Boussinesq approach validity for natural convection and surface thermal radiation in an open cavity. Revista Mexicana de Física 2013; 59: 594-605.

Montiel-González M, Hinojosa JF, Villafán-Vidales HI, Bautista-Orozco A and Estrada CA. Theoretical and experimental study of natural convection with surface thermal radiation in a side open cavity. Applied Thermal Engineering 2015; 75: 1176-1186. http://dx.doi.org/10.1016/j.applthermaleng.2014.05.047

Modest M. Radiative Heat Transfer, 2nd ed., McGraw-Hill, New York, USA 1993.

Akiyama M and Chong QP. Numerical analysis on natural convection with surface radiation in a square enclosure. Numerical Heat Transfer Part A 1997; 33: 419-433. http://dx.doi.org/10.1080/10407789708913899

Gaskell PH and Lau AKC. Curvature-compensated convective transport: SMART, a new boundednesspreserving transport algorithm. International Journal of Numerical Methods in Fluids 1988; 8: 617-641. http://dx.doi.org/10.1002/fld.1650080602

Van Doormaal JP and Raithby GD. Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numerical Heat Transfer 1984; 7: 147-163. http://dx.doi.org/10.1080/01495728408961817

Stone H. Iterative solution of implicit approximation of multidimensional partial differential equations. Journal of Numerical Analysis 1968; 5: 530-558. http://dx.doi.org/10.1137/0705044

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Published

2015-12-31

How to Cite

1.
J. F. Hinojosa, M. E. Trujillo-Camacho. Transient Analysis of Coupled Natural Convection and Surface Thermal Radiation in a Tilted Open Cavity. J. Adv. Therm. Sci. Res. [Internet]. 2015Dec.31 [cited 2021Sep.16];2(2):44-53. Available from: https://www.avantipublishers.com/jms/index.php/jatsr/article/view/314

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