螺旋管内Darcy-Brinkman- Boussinesq流动的渐近解

IF 0.7 Q4 MECHANICS Theoretical and Applied Mechanics Pub Date : 2018-01-01 DOI:10.2298/TAM180424008P
Igor Pažanin
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引用次数: 0

摘要

本文研究了多孔介质在螺旋管内的流动和传热问题。由于工程应用的原因,管道的厚度和两个螺旋线圈之间的距离具有相同的小数量级,而管道内的流体则假设被外部介质冷却(或加热)。在写出曲线坐标系下的无因次Darcy-Brinkman-Boussinesq系统后,采用多尺度展开技术,正式导出了小Brinkman-Darcy数下的有效模型。得到的渐近解以显式形式给出,这对于数值模拟具有重要意义。并与前人的直管流计算结果进行了比较。
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Asymptotic solution for the Darcy-Brinkman- Boussinesq flow in a pipe with helicoidal shape
We study the fluid flow and heat transfer in a helical pipe filled with a sparsely packed porous medium. Motivated by the engineering applications, pipe’s thickness and the distance between two coils of the helix have the same small order of magnitude, whereas the fluid inside the pipe is assumed to be cooled (or heated) by the exterior medium. After writing the dimensionless Darcy–Brinkman–Boussinesq system in curvilinear coordinates, we employ the multi-scale expansion technique to formally derive the effective model valid for small Brinkman–Darcy number. The obtained asymptotic solution is given in the explicit form which is important with regards to numerical simulations. Comparison with our previous results on the straight-pipe flow is also provided.
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
32 weeks
期刊介绍: Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.
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