Encyclopaedia Index

### 1/5 TURBULENT TRANSPORT IN AN AXIALLY ROTATING PIPE (i)

BY : CHAM - M R Malin

### DETAILS :

• Fully-developed flow and heat transfer in an axially rotating pipe.
• The swirl is driven by the pipe wall rotating around the pipe axis.
• Reynolds no Re=5E4 Prandtl no = 0.71 Swirl no = 0.5
• Constant wall heat flux applied at the pipe wall.
• Turbulence represented via RSTM with various pressure-strain models:

• the ipm, ipy, ipc and qim models plus wall-reflection which are linear in Reynolds stresses; and
• the ssg model which requires no wall-reflection model and is quadratic in Reynolds stresses.

• Calculation performed with single-slab solver and 50 mesh cells.
• Calculations based on PHOENICS LIBRARY CASE T605.

### MAIN RESULTS:

 Re=1.E4 Re=2.E4 Re=5.E4 DATA RSTM DATA RSTM DATA RSTM N = 0 .032 .030 .026 .025 .021 .020 N = 0.5 .026 .025 .022 .020 .017 .016

### Table 1: Friction factor f versus Re and N

```                   Re=1.E4         Re=2.E4       Re=5.E4
DATA  RSTM      DATA  RSTM    DATA   RSTM
N = 0          30    34        52    56      103   109
N = 0.5        24    27        44    45       87    90
Table 2: Nusselt number Nu versus Re and N
```

• RSTM and KE-EP model produce essentially same Nu and f results for N=0.
• KE-EP model produces identical results for both values of N.
• All RSTM pressure-strain models produce essentially same Nu and f results.