Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
Theoretical analyze of turbulent channel flow with thermal effects - the influence of the turbulent Prandtl number
Submission Author:
Felipe Ribeiro , MG
Co-Authors:
Felipe Ribeiro, Aristeu Silveira Neto
Presenter: Felipe Ribeiro
doi://10.26678/ABCM.ENCIT2018.CIT18-0713
Abstract
The authors, on the present paper, aims to provide a study on the influence of the turbulent Prandtl number on a turbulent flow thermal analysis. Such parameter is used to model the turbulent thermal diffusion on the energy equation and has been an academic challenge for decades. On these regards, on the present work, the efforts were focused on solving this problem and studying the influence of the turbulent Prandtl number on the results. For the solution, the unidimensional Navier-Stokes and energy equations were solved, for steady states. The methodology applied to the differential equations were the Reynold average Navier-Stokes method (RANS), that simplifies the domain adopting an time average approach, what truncate advective terms and justify permanent regimes. The flow was defined as a Poiseuille channel flow. Results were then compared to DNS for validation and used to adjust the turbulent Prandtl number as a function of the Turbulent Reynolds number searching optimization in terms of accuracy. Results shown that is possible, with such method, to reach an accuracy even bigger then with the turbulent Prandtl numbers provided by the DNS solution, as it is capable of compensate other approximations of the model's simplification.
Keywords
Turbulent Prandtl number, Poiseuille channel, Reynolds averaged Navier Stokes(RANS), Turbulent viscosity, Turbulence
