Analysis Characteristics
- Steady-state
- 2D internal flow
- Turbulent
- Incompressible
- Forced convection
- Water
Reference
Kreith, F., Principles of Heat Transfer, 3rd Edition, Intext Educational Publishers, 1973, p. 468.
Problem Description
A circular cylinder with an infinitely long (thus approximated as 2D) is immersed in a turbulent water flow having a Reynolds number based on the diameter of the cylinder of 1.0e5. The cylinder wall has a fixed temperature. This case is analyzed to verify the water flow and heat transfer modeling capabilities of Autodesk Simulation CFD.
Accuracy of the Autodesk Simulation CFD simulation is assessed by comparing two expressions for Nusselt number: one an experimental correlation and the other an analytical derivation. The experimental correlation is extracted from Kreith (1973):
The subscript “e” indicates experimental. The properties for this expression are determined at the film temperature.
For the Autodesk Simulation CFD calculations, we use:
where subscript “c” indicates calculated.
- Q is the heat transfer into the fluid (in watts)
- L and D are the length (unit length into the page) and diameter of the cylinder
- k is the conductivity of the fluid
- h is the film coefficient
- Tcyl is the fixed temperature of the cylinder
Geometry and Boundary Conditions
All dimensions are in inches:
Results
| Benchmark | 2013: Build 20120131 | % Error | 2014: Build 20130102 | % Error |
| Nu e = 713.4 | Nuc = 739.08 | 3.599 | Nuc = 733.89 | 2.873 |
