Effects of the viscous dissipation on the Darcy-Brinkman flow: Rigorous derivation of the higher-order asymptotic model
作者：
Highlights：
• A non-isothermal fluid flow through a thin domain occupied by a saturated porous medium is considered.
• The flow is governed by the Darcy-Brinkman system and the heat equation including the viscous dissipation term.
• Using asymptotic analysis with respect to the domain thickness, a higher-order effective model is derived.
• The effective model acknowledges the effects of the viscous dissipation on the Darcy-Brinkman flow.
• Justification of the model is provided by proving the corresponding error estimates.
摘要
•A non-isothermal fluid flow through a thin domain occupied by a saturated porous medium is considered.•The flow is governed by the Darcy-Brinkman system and the heat equation including the viscous dissipation term.•Using asymptotic analysis with respect to the domain thickness, a higher-order effective model is derived.•The effective model acknowledges the effects of the viscous dissipation on the Darcy-Brinkman flow.•Justification of the model is provided by proving the corresponding error estimates.
论文关键词：Darcy-Brinkman flow,Viscous dissipation,Asymptotic expansion,Higher–order effective model,Error estimates
论文评审过程：Received 25 June 2019, Revised 2 March 2020, Accepted 17 June 2020, Available online 30 June 2020, Version of Record 30 June 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125479
