engleski

Asymptotic analysis of the thermomicropolar fluid flow through a curvilinear channel

In this talk, we consider the steady flow of a thermomicropolar fluid through a thin curvilinear channel. The flow is governed by the prescribed pressure drop between the channel’s ends. The heat exchange between the fluid inside the channel and the exterior medium is allowed through the upper curved wall, while the lower wall is insulated. Using the technique of two–scale expansion, we compute the asymptotic approximation of the solution. The solution is obtained in explicit form, capturing the effects of the curvature of the domain as well as the micropolarity of the fluid. A boundary layer analysis is provided for the microrotation. The proposed effective model is rigorously justified by proving the error estimates in suitable norms.

Thermomicropolar fluid ; Curvilinear channel ; Asymptotic approximation ; Error estimates

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