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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical Modeling, Numerical Methods and Software Complexes
On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step
A. A. Fomina, L. N. Fominab a T. F. Gorbachev Kuzbass State Technical University, Kemerovo, 650000, Russian Federation
b Kemerovo State University, Kemerovo, 650043, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$. The problem has been solved by numerical integration of the 2D Navier–Stokes equations in ‘velocity-pressure’ formulation and the heat equation in the range of Reynolds number $500 \leqslant \mathrm{ Re} \leqslant 3000$ and expansion ratio $1.43 \leqslant ER \leqslant 10$ for Prandtl number $\mathrm{ Pr} = 0.71$. Validity of the results has been confirmed by comparing them with literature data. Detailed flow patterns, fields of stream overheating, and profiles of horizontal component of velocity and relative overheating of flow in the cross section of the channel have been presented. Complex behaviors of the coefficients of friction, hydrodynamic resistance and heat transfer (Nusselt number) along the channel depending on the problem parameters have been analyzed.
Keywords:
Navier–Stokes equations, separating flow, heat transfer, a plane channel with backward-facing step, mathematical simulation, grid-based approach.
Received: May 4, 2017 Revised: June 8, 2017 Accepted: June 12, 2017 First online: June 25, 2017
Citation:
A. A. Fomin, L. N. Fomina, “On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017), 362–375
Linking options:
https://www.mathnet.ru/eng/vsgtu1545 https://www.mathnet.ru/eng/vsgtu/v221/i2/p362
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