An interferometric study of the natural convection in an inclined water layer

Goldstein, R. J.; Wang, Q.-J.

doi:10.1016/0017-9310(84)90257-6

Cited by 8 publications

(3 citation statements)

References 21 publications

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“…Recently, Goldstein & Wang (1984) have pointed out the importance of temperature-dependent thermophysical properties in determining the onset of instability in these flows. The object of the present work is to investigate the stability of parallel free-convection flows of variable-viscosity fluids in vertical and inclined slots, the importance of which derives from the fact that the temperature dependence of the viscosity is the most important non-Boussinesq effect in many applications (Carey & Mollendorf 1978).…”

Section: Introductionmentioning

confidence: 99%

“…One extension has been to study non-Boussinesq effects and, in particular, the dependence of the viscosity on temperature (Seki, Fukusako & Inaba 1978 ;Chen & Thangam 1985;Thangam & Chen 1986;Smith 1988). Another extension has been to consider fluid-filled slots arbitrarily inclined with respect to the vertical (Gershuni 1955;Birikh et al 1968;Kurzweg 1970;Hart 1971;Hollands & Konicek 1973;Korpela 1974;Ruth 1980;Ruth, Hollands & Raithby 1980;Goldstein & Wang 1984). I n a theoretical study of the stability of constant-viscosity free-convection flows in an inclined box, Hart (1971) found the extremal Rayleigh number for the transverse mode to be a multivalued function of the inclination angle 6, measured from the vertical (figure l), in a small range of S near 66" a t Pr = 6.7 (corresponding to water).…”

Section: Introductionmentioning

confidence: 99%

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Stability of free-convection flows of variable-viscosity fluids in vertical and inclined slots

Chen

Pearlstein

1989

J. Fluid Mech.

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The stability of the buoyancy-driven parallel shear flow of a variable-viscosity Newtonian fluid between vertical or inclined plates maintained at different temperatures is studied theoretically. The analysis is capable of dealing with arbitrary viscosity-temperature relations. Depending on the Prandtl number, angle of inclination, and form of the viscosity-temperature variation, the flow may become unstable with respect to two-dimensional longitudinal or transverse disturbances. Outstanding questions arising in previous investigations of the stability of parallel free-convection flows of constant-viscosity fluids in inclined slots and of variable-viscosity fluids in vertical slots are discussed. We find that, in a variable-viscosity fluid, non-monotonic dependence of the critical Rayleigh number on the inclination angle can occur at significantly higher Prandtl numbers than is possible in the constant-viscosity case. Results are also presented for the stability of the free-convection flow of several glycerol-water solutions in an inclined slot.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of free-convection flows of variable-viscosity fluids in vertical and inclined slots

Chen

Pearlstein

1989

J. Fluid Mech.

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“…Review of theoretical, experimental and numerical studies on this subject until 1980 is given by Schinkel [21]. Other investigations [22][23][24][25][26][27][28][29][30][31] were performed later to study the influence of the nature of fluid, the angle of inclination, aspect-ratios of enclosures on the patterns and the transitions between them, the measurement of heat transfer, etc...…”

Section: Introductionmentioning

confidence: 99%