engleski

On the Darcy-Brinkman-Boussinesq flow in a thin channel with irregularities

In this talk, we will investigate the effects of a small boundary perturbation on the non- isothermal fluid flow through a thin channel filled with porous medium. Starting from the Darcy-Brinkman-Boussinesq system and employing asymptotic analysis, we derive a higher-order effective model given by the explicit formulae. To observe the effects of the boundary irregularities, we numerically visualize the asymptotic approximation for the temperature, whereas the justification and the order of accuracy of the model is provided by the theoretical error analysis. Reference [1] E. Marušić-Paloka, I. Pažanin: On the Darcy- Brinkman Flow Through a Channel with Slightly Perturbed Boundary, Transport in Porous Media 116 (2017), 27-44. [2] E. Marušić-Paloka, I. Pažanin, M. Radulović: On the Darcy-Brinkman-Boussinesq flow in a thin channel with irregularities, Transport in Porous Media 131 (2) (2020), 633-660.

asymptotic analysis ; boundary perturbation ; Darcy-Brinkman-Boussinesq flow

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