Heat transfer in the entrance region of a straight channel - Laminar flow with uniform wall temperature
Abstract
An application of the generalized Hagen-Poiseuille velocity profile via overall mechanical energy equation yields a simple, closed form, analytical solution to the problem of flow development in a straight channel. Using this solution, the temperature field is determined by the Karman-Pohlhausen method. Local and mean Nusselt numbers are presented for fluids in the Prandtl number range of 0.01-10,000. Available measurements of the Nusselt number are in overall best accord with the predictions of the present analysis. It is found that the dimensionless thermal entrance length (Xt) is given by Xt = 0.1020 Pr for all Prandtl number fluids.
- Publication:
-
American Society of Mechanical Engineers
- Pub Date:
- November 1977
- Bibcode:
- 1977asme.meetR....B
- Keywords:
-
- Channel Flow;
- Inlet Flow;
- Laminar Heat Transfer;
- Wall Temperature;
- Flat Plates;
- Flow Velocity;
- Nusselt Number;
- Prandtl Number;
- Temperature Distribution;
- Fluid Mechanics and Heat Transfer