𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Two-dimensional adiabatic forced convection at low péclet number

✍ Scribed by Jones, A. S.

Publisher
Springer
Year
1972
Tongue
English
Weight
309 KB
Volume
25
Category
Article
ISSN
0003-6994

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with heat transfer to two-dimensional laminar Poiseuille flow with arbitrary heat fluxes specified on the wails. The solution is first obtained for fluxes which are symmetric and antisymmetric delta functions and from these the general solution is obtained by integration. Tile solutions include the effects of axial conduction and also of preheating of the incoming fluid. Detailed solutions are given for tile cases P6 = 1 and P6 = .5.

J -co

---(~0, 1) ~" so the integrals will exist provided ~ and ~b are 0 (~-1-~) for ~ --oo and 0 (e ~°~. ~-1-~) for ~ -+ + oo. In particular, the integrals converge if the growth rate as ~ -+ oo is algebraic.

Finally it should be noted that the solution is O(1/Pd) for ~ < 0 so that the preheating of the incoming fluid should not be ignored in this problem.

📜 SIMILAR VOLUMES

Axial wall conduction preheating effects
Axial wall conduction preheating effects in high Péclet number laminar forced convection
✍ Stefano Piva 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 695 KB

An analytical solution for the preheating due to the wail axial conduction in forced convection heating of fully developed laminar flows, is presented. The geometry of interest consists of a long circular tube heated for a finite or semi-infinite length. It is proved that in the preheating region th

Numerical solution of convection–diffusi
Numerical solution of convection–diffusion problems at high Péclet number using boundary elements
✍ Z. H. Qiu; L. C. Wrobel; H. Power 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 1 views

This paper describes a boundary element scheme for solving steady-state convection-di usion problems at high PÃ eclet numbers. A special treatment of the singular integrals is included which uses discontinuous elements and a regularization procedure. Transformations are performed to avoid directly e