A note on convective instabilities in boussinesq fluids and porous media

Journal of Heat Transfer

Volumn 99, Issue 2, 1977, Pages 338-339

  Walker, K ^a   Homsy, G M ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT TRANSFER - CONVECTION;

FLOW OF FLUIDS;

EID: 0017491118     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.3450692     Document Type: Note

References (10)

1. Batchelor, G. K., “Transport Properties of Two-Phase Materials With Random Structure,” Ann. Rev. Fluid Mechanics, Vol. 6,1974, p. 227.
2. Howells, I. D., “Drag Due to the Motion of a Newtonian Fluid Through a Sparse Random Array of Small Fixed Rigid Objects,” Journal of Fluid Mechanics, Vol. 64,1974, p. 449.
3. Homsy, G. M., and Sherwood, A. E., “Convective Instabilities in Porous Media With Through-Flow,” AIChE Journal, Vol. 22,1976, p. 168.
4. Davis, S. H., “On the Principle of Exchange of Stabilities, ” Proceedings of the Royal Society (London), A310,1969, p. 341.
5. Davis, S. H., “On the Possibility of Subcritical Instabilities,” Instability of Continuous Systems, Leipholz, ed., Springer-Verlag, Berlin, 1971.
6. Joseph, D. D., “Nonlinear Stability of the Boussinesq Equations by the Method of Energy,” Arch. Rat. Mech. Anal, Vol. 27,1966, p. 163.
7. Westbrook, D. R., “Stability of Convective Flow in a Porous Medium,” Phys. Fluids, Vol. 12,1969, p. 1547.
8. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford University Press, 1961.
9. Martin, R. S., and Wilkinson, J. H., “Reduction of the Symmetric Eigenvalue Problem Ax = XBx and Related Problems to Standard Form,” Numer. Math. Vol. 11,1968, p. 99.
10. Nir, A., and Acrivos, A., “Experiments on the Effective Viscosity of Concentrated Suspensions of Solid Spheres,” Int. J. Multiphase Flow, Vol. 1,1974, p. 373.