TY - JOUR

T1 - Numerical computation of thermocapillary convection in a rectangular cavity

AU - Chen, J. C.

AU - Sheu, J. C.

AU - Jwu, S. S.

N1 - Funding Information:
The authors gratefully acknowledge the support of the National Science Council of the Republic of Chin;, through grant NSC77-0401-E008-05. Mr. W. C. Chen assisted with some of the final computations.

PY - 1990/4

Y1 - 1990/4

N2 - Thermocapillary convection in a rectangular cavity with a top 287free surface has been considered. The top free surface of the cavity is subjected to inhomogeneous heating, which generates a bulk fluid motion. The Navier-Stokes equations and the energy equation have been solved by a finite-difference method with a boundary-fitted curvilinear coordinate system, which is generated numerically and always places the coordinate line coincident with the current boundary surfaces. The solutions that describe the thermocapillary convection and interface shape of the free surface are found iteratively for both fixed heights and fixed angles of the contact between the free surface and the solid side walls. The influence of the capillary, Reynolds, and Prandtt numbers on the flow field, the temperature distribution, and the free-surface deformation is considered. The results for a shallow cavity with small capillary, Reynolds, and Marangoni numbers are in qualitative and quantitative agreement with the previous asymptotic results.

AB - Thermocapillary convection in a rectangular cavity with a top 287free surface has been considered. The top free surface of the cavity is subjected to inhomogeneous heating, which generates a bulk fluid motion. The Navier-Stokes equations and the energy equation have been solved by a finite-difference method with a boundary-fitted curvilinear coordinate system, which is generated numerically and always places the coordinate line coincident with the current boundary surfaces. The solutions that describe the thermocapillary convection and interface shape of the free surface are found iteratively for both fixed heights and fixed angles of the contact between the free surface and the solid side walls. The influence of the capillary, Reynolds, and Prandtt numbers on the flow field, the temperature distribution, and the free-surface deformation is considered. The results for a shallow cavity with small capillary, Reynolds, and Marangoni numbers are in qualitative and quantitative agreement with the previous asymptotic results.

UR - http://www.scopus.com/inward/record.url?scp=0025419968&partnerID=8YFLogxK

U2 - 10.1080/10407789008944744

DO - 10.1080/10407789008944744

M3 - 期刊論文

AN - SCOPUS:0025419968

VL - 17

SP - 287

EP - 308

JO - Numerical Heat Transfer; Part A: Applications

JF - Numerical Heat Transfer; Part A: Applications

SN - 1040-7782

IS - 3

ER -