Asymptotic analysis of the thermomicropolar fluid flow through a thin channel with cooling. Issue 9 (13th June 2022)

• Record Type: Journal Article
• Authors: Lukaszewicz, Grzegorz; Pažanin, Igor; Radulović, Marko
• Is Part Of: Applicable analysis. Volume 101:Issue 9(2022)
• Page Start: 3141
• Page End: 3169
• Publication Date: 2022-06-13
• Subjects: Thermomicropolar fluid -- cooling condition -- thin channel -- asymptotic model -- rigorous justification; 35C20 -- 35Q35 -- 76M45; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1836353
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we consider a steady-state flow the thermomicropolar fluid through a thin straight channel. The flow is governed by the prescribed pressure drop between channel's ends. The heat exchange between the fluid inside the channel and the exterior medium is allowed through the upper wall, whereas the lower wall is insulated. Using the asymptotic analysis with respect to the thickness of the channel, we derive a first-order asymptotic solution acknowledging the effects of the fluid's microstructure. A rigorous justification of the proposed effective model is provided by proving the error estimates in suitable norms.