Unstable Forced Convection in a Plane Porous Channel With Variable-Viscosity Dissipation

被引：9

作者：

Barletta, A. ^{[1
]}

Celli, M. ^{[1
]}

Kuznetsov, A. V. ^{[2
]}

Nield, D. A. ^{[3
]}

机构：

[1] Alma Mater Studiorum Univ Bologna, Dept Ind Engn, Viale Risorgimento 2, I-40136 Bologna, Italy

[2] N Carolina State Univ, Dept Mech & Aerosp Engn, Campus Box 7910, Raleigh, NC 27695 USA

[3] Univ Auckland, Dept Engn Sci, Private Bag 92019, Auckland 1142, New Zealand

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2016年 / 138卷 / 03期

关键词：

heat transfer; variable-viscosity; porous media; viscous dissipation; convective instability; COUETTE-FLOW; STABILITY;

D O I：

10.1115/1.4031868

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Fully developed and stationary forced convection in a plane-parallel porous channel is analyzed. The boundary walls are modeled as impermeable and subject to external heat transfer. Different Biot numbers are defined at the two boundary planes. It is shown that the combined effects of temperature-dependent viscosity and viscous heating may induce flow instability. The instability takes place at the lowest parametric singularity of the basic flow solution. The linear stability analysis is carried out analytically for the longitudinal modes and numerically for general oblique modes. It is shown that longitudinal modes with vanishingly small wave number are selected at the onset of instability.

引用

页数：10

共 13 条

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Muller, SJ
[J]. JOURNAL OF FLUID MECHANICS, 2002, 462 : 133 - 159
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Yueh, CS
Weng, CI
[J]. PHYSICS OF FLUIDS, 1996, 8 (07) : 1802 - 1813

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