Advertisement

Simulation of Natural Convection in Diamond Shaped Cavity Filled with Air or Water

  • Dorca Polamuri
  • Sunil Kumar ThamidaEmail author
Conference paper

Abstract

In the present study, the occurrence and intensity of natural convection in air or water filled as medium in a diamond shape cavity is evaluated as a function of Grashof number. Grashof number represents the buoyancy force effect which leads to the natural convection or circulations inside the cavity. In the context of granular material, diamond shaped cavities or voids are present between the granules. Depending on the shape of granules, the voids also can have various types of boundary shapes. For simulation purpose, a two dimensional diamond shaped cavity is chosen (a square turned 45°). The left and right boundary temperatures are assigned different values corresponding to side wall heating. The gravity direction is considered as four possibilities: positive y-direction, negative y-direction, positive x-direction and negative x-direction representing various configurations of wall heating. These situations correspond to earth’s gravity or centrifugal acceleration. The walls of the cavity are maintained at a temperature difference of 10 °C. The size of the cavity is varied and the maximum velocity magnitude in circulations is obtained for different directions of the gravity using COMSOL Multiphysics. The results of velocity field or circulations are graphically represented and analyzed as a function of Grashof number. It was found from simulation results that the intensity of natural convection is highest for gravity in vertical direction and for air as compared to water.

Keywords

Natural convection Diamond shaped cavity Grashof number COMSOL multiphysics 

References

  1. Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability. Dover Publications Inc. (1981)Google Scholar
  2. COMSOL Multiphysics. For product information refer to www.comsol.com
  3. Holman, J.P., Souvik Bhattacharyya.: Heat Transfer, (In SI Units), 10th edn. McGraw Hill (2011)Google Scholar
  4. Mamun, M.A.H., Leong, W.H., Hollands, K.G.T., Johnson, D.A.: Cubical cavity natural convection benchmark experiments: an extension. Int. J. Heat Mass Transf. 46, 3655–3660 (2003)CrossRefGoogle Scholar
  5. Nguyen, V.D., Cogne, C., Guessasma, M., Bellenger, E., Fortin, J.: Discrete modeling of granular flow with thermal transfer: application to the discharge of silos. Appl. Therm. Eng. 29, 8–9 (2009)CrossRefGoogle Scholar
  6. Roy, S., Basak, Tanmay: Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s). Int. J. Eng. Sci. 43, 668–680 (2005)CrossRefGoogle Scholar
  7. Sathiyamoorthy, M., Tanmay Basak, S., Roy, I.Pop: Steady natural convection flows in a square cavity with linearly heated side wall(s). Int. J. Heat Mass Transf. 50, 766–775 (2007)CrossRefGoogle Scholar
  8. Strumillo, C., Kudra, T.: Drying: Principles, Applications and Design. Gordon and Breach Science publishers, Switzerland (1986)Google Scholar

Copyright information

© Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.Department of Chemical EngineeringNational Institute of Technology WarangalTelangana StateIndia

Personalised recommendations