Abstract
The axial diffusion of a passive scalar field (e.g. temperature) in Poiseuille flow through a duct is considered, taking account of leakage of heat through the duct boundary. The cases of the two-dimensional channel and the pipe of circular cross-section are considered in detail, and it is shown that (i) the centroid of the scalar field moves (asymptotically) with a velocity intermediate between the mean and the maximum flow rates and increases with increasing wall conductance, and (ii) the effective diffusivity in the flow direction is a decreasing function of wall conductance. The temperature field downstream of a maintained heat source is determined as a function of wall conductance.
| Original language | English |
|---|---|
| Pages (from-to) | 121-136 |
| Number of pages | 16 |
| Journal | Journal of Engineering Mathematics |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 1982 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Engineering