期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2015
卷号：4
期号：6
页码：3928
DOI：10.15680/IJIRSET.2015.0406125
出版社：S&S Publications
摘要：The effect of uniform rotation on the onset of steady Rayleigh-Bénard- Marangoni convection in arelatively hotter or cooler layer of liquid is studied theoretically by means of modified linear stability theory and anormal mode analysis. The top surface of layer is non-deformable free where surface tension gradients arise on accountof variation of temperature, and the bottom surface is rigid and thermally conducting. Both mechanisms causinginstability namely, surface tension induced and buoyancy induced are taken into consideration. A Fourier series methodis used to obtain the eigenvalue equation analytically which is then computed numerically. Numerical results obtainedare found to be significant from both qualitative and quantitative points of view. It is shown that uniform rotation in arelatively hotter layer of liquid is relatively more stable than a cooler layer of the same liquid under identical conditions.When speed of rotation becomes sufficiently large, it is found that the two mechanisms causing instability become lesstight as compared to the case when no rotation is present. The asymptotic behavior of the rotation for the large valuesof the Taylor number is also obtained.
关键词：Buoyancy; Convection; Linear stability; Surface tension; Taylor number
