The extended Graetz problem at low Peclet numbers |
| |
Authors: | Andreas Acrivos |
| |
Institution: | (1) Dept. of Chemical Engineering, Standford University, 94305 Stanford, CA, U.S.A. |
| |
Abstract: | The temperature profile in a circular tube of infinite extent through which a fluid is moving under conditions of small Péclet
numbersε is determined by means of an asymptotic analysis inε. The walls of the tube are heated forx>0 and are insulated whenx<0. It is shown that the heated region extends anO(ε
−1) distance — relative to the radius of the tube — upstream of the pointx=0, and that convective effects remain important even whenε→0. These results apply to a wider class of problems in which the Péclet number is small. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|