𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A method of asymptotic expansions of the solutions of the steady heat conduction problem for laminated non-uniform anisotropic plates

✍ Scribed by Yu. V. Nemirovskii; A.P. Yankovskii

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
545 KB
Volume
72
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis

Outer asymptotic expansions of the solutions of the steady heat conduction problem for laminated anisotropic non-uniform plates for different boundary conditions on the faces are constructed. The twodimensional resolvents obtained are analysed and the asymptotic properties of the solutions of the heat-conduction problem are investigated. Estimates are obtained of the accuracy with which the temperature in the plate outside the limits of the boundary layer can be assumed to be piecewise-linearly or piecewise-quadratically distributed over the thickness of the laminated structure. A physical justification for certain features of the asymptotic expansions of the temperature is given.

πŸ“œ SIMILAR VOLUMES

Asymptotic solution of the problem of he
Asymptotic solution of the problem of heat transfer between a plate and an unbounded uniform fluid flow
✍ M.M. Alimov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 486 KB

The three leading terms of the asymptotic expansion of the solution of the problem of convective heat transfer between a thin plate of finite length and arbitrary surface temperature and an unbounded uniform fluid flow are obtained analytically for low P&let and Prandtl numbers.