AIR COOLING FOR PLASTIC PRODUCTION


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JOB REF. CFD194674001


ABSTRACT

I needed for this case a way to show the interrelationship between air pressure (static and dynamic), velocity, temperature and we wanted to show that experiment are unnecessary and the CDF prediction is enough good.

Problem Description:

Consider cool air flow through a convergent nozze.

The air flow passes through the nozzle and into the cooling room.
We obtain a strong direct convection for the plastic band. The plastic band velocity is orthogonal to the air flow the producer select the band speed.

The plastic band is small as compared with the flow dimensions.

The air flow can’t be to strong to avoid a band deformation. The reference dimension for this condition is the dynamic pressure.
- Max band allowable force = 30N

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ITEM INPUT DESCRIPTION RANGE / VALUE UNIT
1 Band Dimensions Varius mm
2 Nozzle Dimension See DWG mm
3 Room Geometry See DWG mm
4 Band Speed [0,0.01] mm/s

 

ITEM OUTPUT DESCRIPTION RANGE / VALUE UNIT
1 Nozzle-Band Distance [10,130] mm
2 Air Speed [0,40] m/s
3 Air Temperature [0,20] °C

 


METHOD

The Reynolds number for this flow is large (in the convection flow area), so we expect viscous effects to be confined to a small region near the wall.

So we model the CFD problem as inviscid.

We don't study the flow near the upper and lower wall region of the cooling room, so we can leave out the square geometry of the room and use the axisymmetric space for the modeling.


GRID GENERATION

For this problem we separate three different area and we generate three different meshes composed of 4-noded quadrilatera (Quad) elements. See images and table for detail. The mesh is generated with Gambit 2.2.30.

Data Set Description Value
GRID G1 Element Geometry Quad
GRID G1 Element type Map
GRID G2 Element Geometry Quad
GRID G2 Element type Pave
GRID G3 Element Geometry Quad
GRID G3 Element type Pave
GRID MERGE Cell Number 2387
GRID MERGE Face Number 4946
GRID MERGE Nodes 2560
BOUNDARY Boundary "A" Type Velocity - Inlet
BOUNDARY Boundary "B" Type Axis
BOUNDARY Boundary "C" Type Wall
BOUNDARY Boundary "D" Type Wall
BOUNDARY Boundary "E" Type Wall
BOUNDARY Boundary "F" Type Pressure - Outlet


CFD SET-UP AND SOLVE

Before solving (Fluent 6.2.16) we have to solve the following steps:

Data Set Description Value Note
Solver Solver type Coupled N.A.
Solver Space Axisymmetric See Method chapter for detail.
Models Viscous Inviscid See Method for chapter for detail.
Models Energy "Turn on" For compressible flow, we need to couple the energy equation to the continuity and momentum equation.
Materials Name Air Find Air in material database.
Materials Density Ideal Gas The ideal gas equation is used for the density calculation from static pressure and temperature.
Materials Cp 1006.43 [J/Kg*K]
Materials MW 28.966 [Kg/Kg*mol]
Operating Conditions Operating Pressure 101325 [Pa] - See the fluent manual for the Operating Pressure definition and set-up.
Boundary Conditions Inlet Velocity Magnitude 30 [m/s] CFD Optimized Value
Boundary Conditions Inlet Temperature 273 [K] CFD Optimized Value.
Boundary Conditions Outlet Pressure 0 [Pa] - Gauge Pressure
Boundary Conditions Outlet Temperature 300 [K] - Ambient Temperature
Solution Controls Pressure Under Relaxation Factor 0.3 See the fluent manual for definition and set-up.
Solution Controls Density Under Relaxation Factor 1 See the fluent manual for definition and set-up.
Solution Controls Body Force Under Relaxation Factor 1 See the fluent manual for definition and set-up.
Solution Controls Momentum Under Relaxation Factor 0.7 See the fluent manual for definition and set-up.
Solution Controls Energy Under Relaxation Factor 1 See the fluent manual for definition and set-up.
Solution Controls Temperature Under Relaxation Factor 1 See the fluent manual for definition and set-up.
Solution Controls Discretization STD / First Order Upwind For all equations.
Initialization Compute From Inlet Inlet is in most cases the best choice.
Initialization Initial Gauge Pressure 0 [Pa] - Usually is the initial value not important for the final result.
Initialization Initial Axial Velocity 30 [m/s] - Usually is the initial value not important for the final result.
Initialization Initial Radial Velocity 0 [m/s] - Usually is the initial value not important for the final result.
Initialization Initial Temperature 273 [K] - Usually is the initial value not important for the final result.
Monitors Convergence Criterion 1.00E-06 For all equations.
Iteration Iteration Number 200 N.A.

The convergence plot lock like very well, we satisfy the convergence criterion (for all equations) in 196 iterations:

 


RESULT

For the selection of the output data we have to plot:

  1. XY Plot along the centerline of Velocity, Absolute Pressure, Dynamic Pressure and Temperature.

  2. Vectors of Velocity, Absolute Pressure, Dynamic Pressure and Temperature.

All data help to the final problem configuration.

PLOT DATA

VECTOR DATA

 


CONCLUSION

The results look like very well and we don't need additional experiment or analytical calculations.

ITEM OUTPUT DESCRIPTION RANGE / VALUE UNIT
1 Nozzle-Band Distance 60 mm
2 Air Speed 30 m/s
3 Air Temperature 0 °C

The Nozzle-Band Distance is ideal for security distance, air velocity, air temperature and convection requiments, in respect of the dynamic pressure.

 

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