Benard-Marangoni instability in a two-layer system with uniform heat flux

Journal Article · Mon Jan 01 00:00:00 EST 1990 · Journal of Thermophysics and Heat Transfer; (USA)

DOI:https://doi.org/10.2514/3.29169· OSTI ID:6962371

Yang, H Q; Yang, K T ^[1]

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1. Notre Dame Univ., IN (USA)

The onset of motion in two immiscible fluids heated from below by a uniform heat flux is studied analytically. The solution is based on the parallel-flow assumption. The critical Rayleigh and Marangoni numbers are determined. The superimposed cell mode in a single fluid layer is found to be possible when Ma is greater than 180. The secondary cell in the two-layer system can only appear in one of the layers, and the conditions leading to the secondary cell are specified. The influence of upper free boundary, responses in a solid-layer and a fluid-layer system, as well as the use of equivalent Rayleigh numbers are also discussed. 19 refs.

• OSTI ID: 6962371
• Journal Information: Journal of Thermophysics and Heat Transfer; (USA), Vol. 4; ISSN 0887-8722
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
FLUIDS
HEATING
ANALYTICAL SOLUTION
CONVECTION
FLUID MECHANICS
HEAT FLUX
INSTABILITY
LAYERS
NAVIER-STOKES EQUATIONS
THERMAL CONDUCTIVITY
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
MASS TRANSFER
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
420400* - Engineering- Heat Transfer & Fluid Flow