High Marangoni number convection in a square cavity: Part II

Journal Article · Thu Feb 01 04:00:00 EST 1990 · Physics of Fluids A; (USA)

DOI:https://doi.org/10.1063/1.857763· OSTI ID:7023691

Carpenter, B M; Homsy, G M ^[1]

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1. Department of Chemical Engineering, Stanford University, Stanford, California 94305 (US)

Steady thermocapillary flow is examined in a square two-dimensional cavity with a single free surface and differentially heated side walls. The numerical solutions are obtained with a finite difference method applied to a streamfunction-temperature formulation. This work investigates the Prandtl number dependence, structure, and stability of high Marangoni number flow. It is found that the character of thermocapillary flow is highly sensitive to the value of the Prandtl number over a range of Marangoni numbers exceeding 1{times}10{sup 5} for 1{le}Pr{le}50, the magnitude of the flow showing nonmonotonic dependence on the Marangoni number for Pr{le}{similar to}10. A complete structural analogy is observed between flow in a cavity driven by a moving lid and thermocapillary flow in the boundary layer limit, and it is found that all the solutions, spanning a wide range of Marangoni and Prandtl numbers, are linearly stable to a restricted class of disturbances.

• OSTI ID: 7023691
• Journal Information: Physics of Fluids A; (USA), Journal Name: Physics of Fluids A; (USA) Vol. 2:2; ISSN 0899-8213; ISSN PFADE
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY LAYERS
CAPILLARY FLOW
CAVITIES
CONFIGURATION
CONVECTION
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
FLUID FLOW
HEAT TRANSFER
HEATING
ITERATIVE METHODS
LAYERS
MASS TRANSFER
NUMERICAL SOLUTION
PRANDTL NUMBER
RECTANGULAR CONFIGURATION
REYNOLDS NUMBER
SQUARE CONFIGURATION
STEADY-STATE CONDITIONS
SURFACE PROPERTIES
SURFACE TENSION
TEMPERATURE GRADIENTS
TWO-DIMENSIONAL CALCULATIONS
WALLS