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
收藏
页数:10
相关论文
共 13 条
  • [1] [Anonymous], ARCH APPL MECH
  • [2] Variable viscosity effects on the dissipation instability in a porous layer with horizontal throughflow
    Barletta, A.
    Nield, D. A.
    [J]. PHYSICS OF FLUIDS, 2012, 24 (10)
  • [3] The onset of convection in a porous layer induced by viscous dissipation: A linear stability analysis
    Barletta, A.
    Celli, M.
    Rees, D. A. S.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (1-2) : 337 - 344
  • [4] On the thermal instability induced by viscous dissipation
    Barletta, Antonio
    [J]. INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2015, 88 : 238 - 247
  • [5] Onset of instability due to variable viscosity and dissipation in a plane porous channel
    Barletta, Antonio
    Celli, Michele
    [J]. 32ND UIT (ITALIAN UNION OF THERMO-FLUID-DYNAMICS) HEAT TRANSFER CONFERENCE, 2014, 547
  • [6] Cengel Y., 2009, Introduction to Thermodynamics and Heat Transfer
  • [7] STABILITY OF LOW REYNOLDS-NUMBER FLOW WITH VISCOUS HEATING
    HO, TC
    DENN, MM
    ANSHUS, BE
    [J]. RHEOLOGICA ACTA, 1977, 16 (01) : 61 - 68
  • [8] STABILITY OF FRICTIONALLY-HEATED FLOW
    JOSEPH, DD
    [J]. PHYSICS OF FLUIDS, 1965, 8 (12) : 2195 - &
  • [9] Nield DA, 2013, Convection in Porous Media, DOI 10.1007/978-1-4614-5541-7
  • [10] Stability of plane Couette-Poiseuille flow of shear-thinning fluid
    Nouar, Cherif
    Frigaard, Ian
    [J]. PHYSICS OF FLUIDS, 2009, 21 (06)