The effect of wall conductance on heat diffusion in duct flow

✍ Scribed by E. M. Lungu; H. K. Moffatt

• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 542 KB
• Volume: 16
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042550

✦ Synopsis

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.