Abstract
In this paper, 3D numerical study of Bénard-Marangoni instabilities in a horizontal liquid layer for a Rayleigh number Ra = 0 and aspect ratio A = 20. The layer is heated from below and cooled from above (vertical temperature gradient). The upper surface is assumed to be free and non-deformable. The surface tension at the free surface is linearly dependent on the temperature. Silicon oil with Prandtl number (Pr = 880) has been used as a working liquid. A parametric study has been carried out by considering the following parameters: the thermal Marangoni number (Ma), the Biot number (Bi). The governing equations were discretized by the finite volume method. The resolution of the coupling (pressure-velocity) was done with the projection method. A code has been elaborated with FORTRAN 6.6. Velocity vectors and temperature fields on the upper free surface are obtained.
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Benseghir, C., Zitouni, B., Haddad, D., Zeroual, M. (2014). Numerical Simulation of Cavity with an Upper Free Surface. In: Oral, A., Bahsi, Z., Ozer, M. (eds) International Congress on Energy Efficiency and Energy Related Materials (ENEFM2013). Springer Proceedings in Physics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-05521-3_6
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DOI: https://doi.org/10.1007/978-3-319-05521-3_6
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