Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain (CROSBI ID 266201)
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Podaci o odgovornosti
Nakasato, Jean Carlos ; Pažanin, Igor ; Pereira, Marcone Correa
engleski
Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain
In this paper, we investigate a convection- diffusion-reaction problem in a thin domain endowed with the Robin-type boundary condition describing the reaction catalyzed by the upper wall. Motivated by the microfluidic applications, we allow the oscillating behavior of the upper boundary and analyze the resonant case where the amplitude and period of the oscillation have the same small order as the domain's thickness. Depending on the magnitude of the reaction mechanism, we rigorously derive three different asymptotic models via the unfolding operator method. In particular, we identify the critical case in which the effects of the domain's geometry and all physically relevant processes become balanced.
convection-diffusion-reaction equation ; Robin boundary condition ; thin domain ; rough boundary ; unfolding method
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Podaci o izdanju
2019
2019.
1634260
14
objavljeno
0003-6811
1563-504X
10.1080/00036811.2019.1634260