Abstract
Flow and thermal effects concerned with liquid crystal growth are studied nonlinearly for low Prandtl numbers, in an axisymmetric steady configuration with endwalls present. Full solutions are obtained by finite element simulation to examine the influences of aspect ratio, Marangoni number and Rayleigh number. In particular a 'lemonhead' phenomenon is found in which the velocity profiles acquire a very localised bell-shaped form as jet like flow starts to emerge, when the relative size of the Marangoni number increases above a finite critical value which is identified. Wide-domain and narrow-domain analyses are then presented, showing favourable agreement with the full solutions and explaining the impact of the end walls on the motion, especially through slender flow modelling in the narrow-domain context. Sensitive scalings for the relative effects of the Marangoni and Rayleigh numbers emerge, and the lemonhead phenomenon is also accounted for as a substantial change in the convective flow structure.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
