Challenge

Week 1- Mixing Tee

Aim: to perform steady state fluent analysis on a mixing tee pipe using the conditions given.

Conditions given:

  • two mixing tees of different lenghts
  • different temperatures at both inlets, 19 celsius @ cold inlet and 36 celsius @ hot inlet
  • velocity of fluid @ inlet is fixed at 3m/s, velocity of fluid @ cold inlet is varied by virtue of momentum ratio
  • momentum ratio is the ratio of velocity of fluid at cold inlet divided by velocity at hot inlet
  • momentum ratios are 2 and 4

Modelling:

  • the mixing tee CAD model is constructed using design modeler function of the ANSYS workbench
  • fluid domain of the model is prepared by using 'prepare' function in the space claim function of ANSYS workbench

Pre processing:

  • here, using the momentum ratio formula, the velocity of fluid at cold inlet for 2 different cases is calculated as
Case Momentum ratio velocity @ hot inlet velocity @ cold inlet
1 2 3 6
2 4 3 12
3 2 3 6
4 4 3 12

Case 1:

  • Uses K-epsilon, realizable fluid properties
  • Energy equations are on
  • working fluid is air
  • the mesh quality of the model is not less than 5%

Case 2:

  • Uses K-omega, SST fluid properties
  • Energy equations are on
  • working fluid is air
  • the mesh quality is not less than 5%

Case 3:

  • Uses K-epsilon, realizable fluid properties
  • Energy equations are on
  • working fluid is air
  • the mesh quality is not less than 5%

Case 4:

  • Uses K-epsilon, realizable fluid properties
  • Energy equations are on
  • working fluid is air
  • the mesh quality is not less than 5%

K- epsilon model is used for all the cases as it is a basic flow through a mixing tee, complex calculations for temperature in complex structures, can us k- omega model.

CASE Node count cell count avg. temperature total no of iterations
1 8453 31203 299.356 200
2 6774 23514 298.772 200
3 8643 30237 299.347 200
4 9249 32814 298.326 200

Results:

Area weighted average graphs:

case 1

case 2

case 3

case 4

Standard deviation graphs:

case 1

case 2

case 3

case 4

temperature vs lenght graphs:

case 1

case 2

case 3

case 4

Temperature contours:

Top side:

case 1

case 2

case 3

case 4

Side contours:

case 1

case 2

case 3

case 4

Conclusions:

  • As the momentum ratio is increased, the cold inlet velocity increases in turn causes the temperature of hot inlet fluid to reduce.
  • as the lenght of the mixing tee increases the temperature of the hot fluid reduces
  • looking at the graphs, we can assume that after 50 iterations, the solution attains convergence.
  • After 40-50 iterations, the solver attains an approximate solution.
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