Abstract
A conically self-similar solution of the Boussinesq equations is reported. Thermogravitational convection near a quadrupolar point singularity of a temperature field is studied. At a Prandtl number of zero the solution loses its existence when the Grashof number achieves some critical value. If the Prandtl number differs from zero, then the solution exists at any Grashof number but, when the Prandtl number tends to zero, the passage to the limit can become nontrivial. At subcritical Grashof numbers, a strong upward jet is developed. A number of problems are studied in which the flow region is bounded by a conical surface. These problems may serve as simple models of convection near a volcano, a glacier, and an iceberg.
Published Version
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.
