A New Numerical Method--Asymptotically Simplified Iteration Method With Patching as Applied to Free and Mixed Convection Heat Transfer

Conventional boundary layer analysis is restricted to problems in which the transverse momentum equation is not important and the streamwise diffusion terms in the momentum and energy equations are negligible. Full Navier-Stokes methods, on the other hand, are computationally expensive due to slow convergence and the lack of an economical means to simulate the infinity boundary condition. In this work, we present an efficient, exact solver of the full Navier-Stokes and energy equations--Asymptotically Simplified Iteration Method with Patching (ASIMP). It is based on the natural structure of high Rayleigh number free convection, which consists of thin thermal and viscous boundary layers surrounded by a region of negligible viscous and conductive influences. Iteration techniques appropriate for each region are obtained from considerations of the asymptotic behavior at high Rayleigh numbers. Alternate iterations of the inner and outer solutions are patched at a pre-selected patching boundary.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Wang, Duan-Fan

Contributors dc:contributor

• Chen, Michael M.

• Engineering, Aerospace
• Engineering, Mechanical

Identifier

(UMI)AAI8815438

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/70151