Abstract
The onset of thermal convection in a vertical porous cylinder in three dimensions is investigated analytically. Top and bottom of the cylinder are set to be perfectly heat conducting and impermeable, and is uniformly heated from below. The convection problem is solved for a cylinder wall that is partly conducting and partly penetrative. The expressions for semi-conduction and semi-penetration are based on a porous medium separated from its surroundings by a thin wall. The eigenvalue problem is split into two Helmholtz equations, and the results are expressed by Bessel functions in the radial direction. Comparisons are made with existing solutions for the limit cases of a closed cylinder wall that is either conducting or insulating. Two different models are compared for the kinematic limit condition of an open boundary.
Sign-in/Register to access full text options 
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.
