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Solving combined natural convection-radiation in participating media considering the compressibility effects

Darbandi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. Abstract:
  3. In this work, we aim to study the effect of temperature gradients on the combined natural convection-radiation heat transfer problem in participating media. To impose this combined effect, we first solve the radiative transfer equation in an absorbing and emitting media. Then, we suitably add the radiation source terms to the energy equation and solve the fluid flow equations. Literature shows that many incompressible algorithms use the Boussinesq assumption to model the thermobuoyant force; however, the validity of this assumption is limited to cases with low temperature gradient distributions. Evidently, Boussinesq assumption would result in considerable errors in high temperature gradient fields. To solve the thermobuoyant flow fields with such high temperature gradients, we apply a recently developed compressible method, which do not implement the Boussinesq approximation in its algorithm. In other words, we treat the buoyant term as it appears in the compressible Navier-Stokes equations. We show that the achieved results are more accurate than the Boussinesq-based solutions in solving more critical heat transfer problem. We discuss the effect of variation in temperature gradients properly in the results section. Our literature review shows that such achievements have not been reported yet
  4. Keywords:
  5. Aerospace engineering ; Approximation algorithms ; Fluid dynamics ; Incompressible flow ; Natural convection ; Navier Stokes equations ; Radiation effects ; Thermal gradients ; Boussinesq approximations ; Compressibility effects ; Compressible Navier-Stokes equations ; Critical heat transfer ; High temperature gradient ; Low temperature gradients ; Radiation source terms ; Radiative transfer equations ; Heat radiation
  6. Source: 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014 ; 13- 17 January , 2014 ; ISBN: 9781624102561
  7. URL: http://arc.aiaa.org/doi/abs/10.2514/6.2014-0862