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Stability of natural convection in a vertical slot

Published online by Cambridge University Press:  29 March 2006

Charles M. Vest  and
Vedat S. Arpaci
Charles M. Vest
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
Vedat S. Arpaci
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
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Abstract

The stability of natural convection of a viscous fluid in a vertical slot having isothermal side walls of different temperatures is investigated analytically. Both the conduction and boundary-layer régimes are found to be unstable with respect to stationary disturbances in the form of multicellular secondary flows. Theoretical predictions of the critical Rayleigh number and of the form of the secondary flow are verified by experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 1 , 27 March 1969 , pp. 1 - 15
Copyright
© 1969 Cambridge University Press

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References

Batchelor, G. K. 1954 Quart. J. Appl. Maths. 12, 209.
Birikh, R. V. 1967 Prikl. Mat. i Mekh. 30, 432.
Eckert, E. R. G. & Carlson, W. O. 1961 Int. J. Heat Mass Trans. 2, 106.
Elder, J. W. 1965 J. Fluid Mech. 23, 77.
Gershuni, G. Z. 1953 Zhurnal Teknischeskoi Fiziki 23, 1838.
Gill, A. E. 1966 J. Fluid Mech. 26, 515.
Harris, D. L. & Reid, W. H. 1958 Astrophys. J. (Suppl. Ser.) 3, 429.
Mordchelles-Regnier, G. & Kaplan, C. 1963 Proc. Heat Trans. Fluid Mech. Inst. p. 94.
Ostrach, S. & Maslen, H. 1961 International Developments in Heat Transfer, Part V. 1961. (Published Am. Soc. Mech. Eng. 1963.)
Reid, W. H. & Harris, D. L. 1958 Astrophys. J. (Suppl. Ser.) 3, 448.
Rudakov, R. N. 1967 Prikl. Mat. i Mekh. 31, 376.
Squire, H. B. 1933 Proc. Roy. Soc. A, 142, 621.
Vest, C. M. 1967 Ph.D. Dissertation, The University of Michigan.
Yuan, C. 1966 Ph.D. Dissertation, The University of Michigan.