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Solving turbulent diffusion flame in cylindrical frame applying an improved advective kinetics scheme

Darbandi, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1007/s00162-015-0365-6
  3. Publisher: Springer New York LLC , 2015
  4. Abstract:
  5. In this work, we derive a few new advective flux approximation expressions, apply them in a hybrid finite-volume-element (FVE) formulation, and solve the turbulent reacting flow governing equations in the cylindrical frame. To derive these advective-kinetic-based expressions, we benefit from the advantages of a physical influence scheme (PIS) basically, extend it to the cylindrical frame suitably, and approximate the required advective flux terms at the cell faces more accurately. The present numerical scheme not only respects the physics of flow correctly but also resolves the pressure–velocity coupling problem automatically. We also suggest a bi-implicit algorithm to solve the set of coupled turbulent reacting flow governing equations, in which the turbulence and chemistry governing equations are solved simultaneously. To evaluate the accuracy of new derived FVE–PIS expressions, we compare the current solutions with other available numerical solutions and experimental data. The comparisons show that the new derived expressions provide some more advantages over the past numerical approaches in solving turbulent diffusion flame in the cylindrical frame. Indeed, the current method and formulations can be used to solve and analyze the turbulent diffusion flames in the cylindrical coordinates very reliably
  6. Keywords:
  7. Finite element ; Finite volume ; Atmospheric turbulence ; Finite element method ; Finite volume method ; Cylindrical coordinates ; Cylindrical frame ; Finite volume element ; Non-premixed flame ; Numerical approaches ; Physical influence scheme ; Turbulent diffusion flame ; Turbulent reacting flows ; Diffusion ; Algorithm ; Cylinder ; Numerical method ; Physics ; Solvent ; Turbulent diffusion ; Turbulent flow
  8. Source: Theoretical and Computational Fluid Dynamics ; Volume 29, Issue 5-6 , December , 2015 , Pages 413-431 ; 09354964 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00162-015-0365-6