0
RESEARCH PAPER

Three-Dimensional Instabilities of Natural Convection Flow in a Vertical Cylinder With Partially Heated Sidewall

[+] Author and Article Information
A. Rubinov, P. Z. Bar-Yoseph, A. Solan

Computational Mechanics Laboratory, Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel

V. Erenburg, A. Yu. Gelfgat, E. Kit

School of Mechanical Engineering, Tel-Aviv University, Ramat Aviv 69978, Israel

J. Heat Transfer 126(4), 586-599 (Apr 12, 2004) (14 pages) doi:10.1115/1.1773588 History: Received July 01, 2003; Revised April 12, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Geometry of the problem
Grahic Jump Location
Streamlines (left frames) and isotherms (right frames) of base axisymmetric flow. All isolines are equally spaced. The temperature varies between 0 and 1: (a) A=2.5,Grcr=1.12×105max=23.59; (b) A=4,Grcr=3.18×105max=6.20; (c) A=8,Grcr=1.82×104max=2.01.
Grahic Jump Location
Stability diagram: (a) Marginal Grashof number versus the aspect ratio for 1≤k≤4; and (b) Two most critical marginal stability curves for k=1 and 2 and comparison with experimental points 6.
Grahic Jump Location
Marginal frequency of the azimuthal traveling wave for the modes k=1 and 2 (only non-zero ωm are shown)
Grahic Jump Location
Amplitudes of the perturbations of (a) radial, (b) vertical, (c) azimuthal velocities, and (d) temperature. A=2.5,Grcr=1.12×105,k=2.
Grahic Jump Location
Amplitudes of the perturbations of (a) radial, (b) vertical, (c) azimuthal velocities, and (d) temperature. A=2.9,Grcr=1.10×105,k=1.
Grahic Jump Location
Amplitudes of the perturbations of (a) radial, (b) vertical, (c) azimuthal velocities, and (d) temperature. A=4,Grcr=3.18×105,k=1.
Grahic Jump Location
Amplitudes of the perturbations of (a) radial, (b) vertical, (c) azimuthal velocities, and (d) temperature. A=6,Grcr=1.88×104,k=1.
Grahic Jump Location
Amplitudes of the perturbations of (a) radial, (b) vertical, (c) azimuthal velocities, and (d) temperature. A=8,Grcr=1.82×104,k=1.
Grahic Jump Location
Pattern of the temperature perturbation at A=2.5,Grcr=1.12×105,k=2: (a) four equally spaced isosurfaces; and (b) 21 equally spaced isolines in four different axial cross-sections.
Grahic Jump Location
Pattern of the temperature perturbation at A=2.9,Grcr=1.10×105,k=1: (a) four equally spaced isosurfaces; and (b) 21 equally spaced isolines in four different axial cross-sections.
Grahic Jump Location
Pattern of the temperature perturbation at A=4,Grcr=3.18×104,k=1: (a) four equally spaced isosurfaces; and (b) 21 equally spaced isolines in four different axial cross-sections.
Grahic Jump Location
Pattern of the temperature perturbation at A=8,Grcr=1.82×104,k=1: (a) four equally spaced isosurfaces; and (b) 21 equally spaced isolines in four different axial cross-sections.
Grahic Jump Location
Pattern of perturbation of the vertical velocity at A=8,Grcr=1.82×104,k=1: (a) six equally spaced isosurfaces; and (b) 21 equally spaced isolines in four different axial cross-sections.
Grahic Jump Location
Marginal Grashof number versus the Prandtl number for A=4 and 1≤k≤3
Grahic Jump Location
Isotherms (left frame) and streamlines for Pr=0 and growing Grashof number
Grahic Jump Location
Streamlines and isotherms of the flow for Gr=2.3×105 and the Prandtl numbers slightly different from zero

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In