Challenge

Week 1- Mixing Tee

AIM:

Your job is to set up steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190C.

Use the k-epsilon and k-omega SST model for the first case and based on your judgment use the more suitable model for further cases. Giving the reason for choosing a suitable model is compulsory.

  1. Case 1
    • Short mixing tee with a hot inlet velocity of 3m/s.
    • Momentum ratio of 2, 4.
  2. Case 2
    • Long mixing tee with a hot inlet velocity of 3m/s.
    • Momentum ratio of 2, 4.

Momentum ratio = velocity at cold inlet / velocity at hot inlet

In a table, compare the following values from the 2 cases.

  1. Cell count
  2. Average outlet temperature
  3. Number of iterations for convergence

Expected results:

  1. Velocity and temperature contour plots on the cut planes along and across the pipe.
  2. Velocity and temperature line plots along and across the length of the pipe.
  3. Perform Mesh independent study for any one case.
  4. Discuss the effect of length and momentum ratio on results.

INTRODUCTION:

ANSYS WORKFLOW PROCESS:

GEOMETRY:

Construct a two or three dimensional representation of the object to be modelled and tested using the work plane coordinate system within ANSYS.

MESH: At this point ANSYS understands the makeup of the part. Now define how the modelled system should be broken down into finite pieces.

SETUP: The case setup will be done using ansys fluent

SOLUTION: Ansys fluent where run time result visualization is done

RESULTS: Post processing of results will be done here using CFD-post

SHORT TEE:

The computational models are uploaded to the Ansys Space Claim as a step file.

CASE I:

CASE 1.1:

  • Short mixing tee with a hot inlet velocity of 3m/s.
  • Momentum ratio of 2.

SETUPS

SHORT TEE (MR=2 AND HOT INLET VELOCITY = 3m/s)

K-EPSILON

K-OMEGA

SOLVER TYPE

Pressure based

Pressure based

VELOCITY FORMULATION

Absolute

Absolute

TIME

Steady

Steady

VISCOUS MODEL

Realizable K-epsilon with standard wall function

K-omega SST model

MATERIAL

Air

Air

CELL ZONES

Fluid type : air

Fluid type : air

BOUNDARIES

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 6m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 6m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

The hybrid scheme is used for initialization and the no. of iterations are setup and then click on calculate option.

GEOMETRY SETUP:

The computational models are uploaded to the Ansys Space Claim as a step file.

VOLUME EXTRACT:

MESH GENERATION:

The boundary names inlet_x, inlet_y, outlet and wall are defined using the named selection option.

ELEMENT MATRICS:

RESULT:

1.1-K_EPSILON M=2

SCALED_RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD_DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE PLOT:

VELOCITY STREAMLINE_PLOT:

1.1 K_OMEGA M=2

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE :

VELOCITY STEAMLINE PLOT:

RESULT:

SHORT TEE (MR=2) K_EPSILON K_OMEGA

AVERAGE OUTLET TEMPERATURE [K] 303.3 K 303.42 K

STANDARD DEVIATION 1.57 1.51

NO OF ITERATIONS 250 300

--------------------------------------------------------------------------------------------------------------------------------------

SETUP 1.2: K_EPSILON

  • Short mixing tee with a hot inlet velocity of 3m/s.
  • Momentum ratio of 4.

SETUPS

SHORT TEE (MR=4 AND HOT INLET VELOCITY = 3m/s)

K-EPSILON

K-OMEGA

SOLVER TYPE

Pressure based

Pressure based

VELOCITY FORMULATION

Absolute

Absolute

TIME

Steady

Steady

VISCOUS MODEL

Realizable K-epsilon with standard wall function

K-omega SST model

MATERIAL

Air

Air

CELL ZONES

Fluid type : air

Fluid type : air

BOUNDARIES

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 12m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 12m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

RESULT:

1.2 -K_EPSILON M=4

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE:

VELOCITY STREAMLINE:

1.2 -K_OMEGA M=4

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE:

VELOCITY STREAMLINE:

RESULT:

SHORT TEE (MR=2) K_EPSILON K_OMEGA

AVERAGE OUTLET TEMPERATURE [K] 300.73 K 300.743 K

STANDARD DEVIATION 1.35 1.49

NO OF ITERATIONS 129 202.91

CONCLUSION:

AVERAGE OUTLET TEMPERATURE:

On comparing the both models with analytical solution we got nearly the same results.

ITERATIONS TO CONVERGE:

No. of iterations taken to converge is less for Realisable K-epsilon model than K-omega SST model.

-----------------------------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------------------------------

CASE 2:

LONG TEE:

GEOMETRY SETUP:

The computational models are uploaded to the Ansys Space Claim as a step file.

VOLUME_EXTRACT:

MESH GENERATION:

ELEMENT MATRICS:


The hybrid scheme is used for initialization and the no. of iterations are setup and then click on calculate option.

CASE 2:

  • Short mixing Tee with a hot inlet velocity of 3m/s
  • Momentum ratio of 2.

SETUPS

SHORT TEE (MR=2 AND HOT INLET VELOCITY = 3m/s)

K-EPSILON

K-OMEGA

SOLVER TYPE

Pressure based

Pressure based

VELOCITY FORMULATION

Absolute

Absolute

TIME

Steady

Steady

VISCOUS MODEL

Realizable K-epsilon with standard wall function

K-omega SST model

MATERIAL

Air

Air

CELL ZONES

Fluid type : air

Fluid type : air

BOUNDARIES

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 6m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 6m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

The hybrid scheme is used for initialization and the no. of iterations are setup and then click on calculate option.

CASE 2.1:K-EPSILON

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE:

VELOCITY STREAMLINE :

CASE 2.1:K-OMEGA

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE:

VELOCITY STREAMLINE:

RESULT:

SHORT TEE (MR=2) K_EPSILON K_OMEGA

AVERAGE OUTLET TEMPERATURE [K] 300.169 K 300.464 K

STANDARD DEVIATION 1.2765 1.01

NO OF ITERATIONS 300 300

----------------------------------------------------------------------------------------------------------------------------------

CASE 2:

  • Short mixing Tee with a hot inlet velocity of 3m/s
  • Momentum ratio of 4.

SETUPS

SHORT TEE (MR=4 AND HOT INLET VELOCITY = 3m/s)

K-EPSILON

K-OMEGA

SOLVER TYPE

Pressure based

Pressure based

VELOCITY FORMULATION

Absolute

Absolute

TIME

Steady

Steady

VISCOUS MODEL

Realizable K-epsilon with standard wall function

K-omega SST model

MATERIAL

Air

Air

CELL ZONES

Fluid type : air

Fluid type : air

BOUNDARIES

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 12m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

· Inlet_x (velocity inlet)

Velocity magnitude 3m/s

Temperature - 360c

· Inlet_y (velocity inlet)

Velocity magnitude 12m/s

Temperature – 190c

· Outlet (pressure outlet)

Gauge pressure – 0 pa

· Walls – stationary walls

K_EPSILON M=4:

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE:

VELOCITY STREAMLINE :

K-OMEGA M=4:

SCALED RESIDUALS:

AREA WEIGHED AVG TEMPERATURE:

STANDARD DEVIATION:

TEMPERATURE PLOT:

VELOCITY PLOT:

TEMPERATURE STREAMLINE :

VELOCITY STREAMLINE :

RESULT:

SHORT TEE (MR=2) K_EPSILON K_OMEGA

AVERAGE OUTLET TEMPERATURE [K] 300.655 K 300.655

STANDARD DEVIATION 0.5158 0.5872

NO OF ITERATIONS 124 141

AVERAGE OUTLET TEMPERATURE:

On comparing the both models with analytical solution we got nearly the same results.

ITERATIONS TO CONVERGE:

No. of iterations taken to converge is less for Realisable K-epsilon model than K-omega SST model.

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