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Planar Couette Flow - Backward Facing Step

experiments


Appendix A

Exercise: Planar Couette Flow

Description

Wall-driven flow between infinite parallel plates, separated by a distance H. Upper horizontal wall moves at constant velocity, Vwall, while lower horizontal wall is fixed. Left and right vertical boundaries are periodic.



Fluid Properties

Geometry

Meshing

Loading 737x233h

r

Lx = 4

Nx = 4, 1

Vwall = 1

m

H =1

Ny = 10, -4

Assumption

Steady-state

Incompressible

VY = VZ = 0

VX = VX(Y) only

Pressure field is constant

No body forces

Fluid properties are constant

Exercise: Backward Facing Step

Input File: Step51

Data: Armaly, et. al., "Experimental and Theoretical Investigation of Backward Facing Step Flow", Journal of Fluid Mechanics (1983), vol. 127, pp. 473-496.

Inlet length: 2.5 (can be varied by the user)

Outlet length: 18 (can be varied by the user)

Outlet Condition: P = 0
use density = 1.0, viscosity = .001
Hydraulic diameter Dh = 2(.52) = 1.04

Choose Reynolds Number between 200 and 1000

Watch for the length of the recirculation region and secondary recirculation regions.

How much are results affected by the inlet velocity profile?

How can the choice of the outlet condition be verified?

Exercise: Tube Bundle Flow

Description

Turbulent cross-flow over a bundle of circular tubes. Top and bottom horizontal boundaries are planes of symmetry.

Define all keypoints in terms of parameters.

Use:

R

LIN

DX

LOUT

DY

Create an ALL-QUAD mesh (requires concatenations just before meshing). Concentrate nodes towards tube walls.

Fluid Properties

Meshing

Loading 737x233h

r

Check Line Directions

VIN = 1

m = 1.0E-4

Pout = 0

Assumptions

Steady-state

Incompressible

Turbulent

Fluid properties are constant

Exercise: Jet Impingement Heat Exchanger Flow

Description

In this device, orifice plates are separated by spacer plates in a stack arrangement, with consecutive plates having an offset hole pattern. Multiple jets of coolant fluid impinge on conductive surfaces to maximize heat transfer. The plate stack is metalluragically bonded together to minimize conductive resistance. Flow is to be modeled in the quarter-symmetry section shown.

Construct flowfield using top-down techniques.

Generate the 12 map-meshable volumes shown below.

(The file jetimp.inp can be used to create this geometry.)

Set ESIZE = 0.2 and map mesh with FLUID142 elements.

The jet Reynolds number is 105.

Fluid Properties

Loading 737x233h

r=1

VZ=-1

m=1.0e-5

Pout=0

Assumptions

Steady-state

Incompressible

Turbulent

Fluid properties are constant

Exercise: Fan Model

Dimensions in inches - Fluid is air.

Refer to Elements manual documentation to apply real constant data for fan.

Exercise: Counter Current Heat Exchanger

Water

10 cm/sec

Diameter of helium pipe

1.00 cm

He

40 cm/sec

Thickness of steel

0.15 cm

OD of water pipe

(annular thickness of water flow is 0.25)

Length

15 cm

Tinlet He 

-20C

Steel conductivity

0.536 w/cm-C

Tinlet water

100C

Steel specific heat

0.4265 J/g-c

Steel density

7.8332 g/cm3

Specific Heat

4.8 J/gC

Water

r=.963 g/cm3

Helium

Gass Nominal Conditions

m=3.057 E-4

r=1.67E-3 g/cm3

k=6.8 E-3

T=293K

p=1.42E-3

m=2.143E-4


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