Plenary Lecture

Extended Surfaces Heat Transfer Processes – Class of Approximate and Exact Solutions

Professor Andris Buikis
Institute of Mathematics and Computer Science
University of Latvia
Raina bulv. 29, Riga, LV1459
LATVIA
E-mail: buikis@latnet.lv

Abstract: Systems with extended surfaces (with fins and/or spines) have very broad field of applications: from space apparatus, engines, conditioners, fridges etc. to cooling systems for microchips of PC. From praxis point of view the mathematical description (mathematical models) must be formulated as conjugated problem. In other words, the determination of temperature fields in solid system with extended surfaces can’t be disconnected from the calculation of the temperature and hydrodynamic fields in the flowing around of the system media (gas or fluid). It means that the boundary conditions on the surface of the system are essentially non-homogeneous. In this talk there is presented an original (based on the Green function’s method) approach for the determination of the exact solutions in the systems with extended surfaces of quite complicated geometrical and thermal structure. This approach is applicable for both - steady-state and transient processes and it reduces the problem for the partial differential equations to the system of the 2nd kind Fredholm integral equations (the number of integral equations is equal to the number of canonical elements in the systems with extended surfaces).

Brief Biography of the speaker:
http://www.lza.lv/scientists/buikis.htm