Abstract
Two-dimensional conjugate free convection due to a vertical plate of finite extent adjacent to a semi-infinite fluid region is investigated analytically and numerically. Computed solutions to the governing heat and momentum equations are obtained for a wide range of values of the non-dimensional parameters that are present in the problem, namely the Rayleigh number, Ra, the Prandtl number, Pr, the thermal conductivity ratio, k, between the plate and the fluid medium, and the plate aspect ratio, λ. For Ra ⪢ 1, the results give good agreement with an alternative formulation in which two-dimensional conduction in the solid is coupled with a convective boundary-layer flow in the fluid, the resulting non-linear system of equations then being solved iteratively. In addition, a third, much simpler, approach which assumes one-dimensional conduction in the plate produces accurate easily-obtained formulae for the average conjugate boundary temperature and Nusselt number.
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.
