Stokes flow in a rectangular well: Natural convection and boundary-layer function
Authors:
L. M. de Socio, G. Gaffuri and L. Misici
Journal:
Quart. Appl. Math. 39 (1982), 499-508
DOI:
https://doi.org/10.1090/qam/99622
MathSciNet review:
QAM99622
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Abstract: Free convection in a rectangular well of infinite depth at low Rayleigh number is considered. A pair of opposite vertical walls are at different temperatures, whereas the other walls are adiabatic. The three-dimensional Stokes flow regime is analyzed and the boundary-layer function for the adiabatic walls is determined.
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E. R. G. Eckert and R. M. Drake, Jr., Analysis of heat and mass transfer, McGraw-Hill, New York, 1972
D. D. Joseph, Stability of fluid motions, Vol. 2, Springer-Verlag, Berlin, 1976
- R. C. T. Smith, The bending of a semi-infinite strip, Australian J. Sci. Res. Ser. A 5 (1952), 227–237. MR 61543
L. M. de Socio, L. Misici and A. Polzonetti, Natural convection in heat generating fluids in cavities, ASME Paper 79-HT-95
- P. A. Lagerstrom and R. G. Casten, Basic concepts underlying singular perturbation techniques, SIAM Rev. 14 (1972), 63–120. MR 304801, DOI https://doi.org/10.1137/1014002
R. Courant and R. Hilbert, Methods of mathematical physics, Vol. 1, Interscience Publishers, New York, 1953
D. D. Joseph and L. Sturges, The free surface on a liquid filling a trench heated from its side, J. Fluid Mech. 69, 565–589 (1975)
E. R. G. Eckert and R. M. Drake, Jr., Analysis of heat and mass transfer, McGraw-Hill, New York, 1972
D. D. Joseph, Stability of fluid motions, Vol. 2, Springer-Verlag, Berlin, 1976
R. C. T. Smith, The bending of a semi-infinite strip, Aust. J. Sci. Res. 5, 227–237 (1952)
L. M. de Socio, L. Misici and A. Polzonetti, Natural convection in heat generating fluids in cavities, ASME Paper 79-HT-95
P. A. Lagerström and R. G. Casten, Basic concepts underlying singular perturbation techniques, SIAM Review 14, 63–120 (1972)
R. Courant and R. Hilbert, Methods of mathematical physics, Vol. 1, Interscience Publishers, New York, 1953
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Article copyright:
© Copyright 1982
American Mathematical Society
