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2D Free Jet Simulations (FLUENT)

2D Free Jet Simulations (FLUENT). Oct. 31 2013 yan. Outline. 2D Laminar Plane Jet Theoretical Solutions Numerical Calculations (FLUENT code) Mean Stream Velocity Jet Half Width Momentum Thickness 2D Laminar Round Jet Theoretical Solutions Numerical Calculations (FLUENT code)

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2D Free Jet Simulations (FLUENT)

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  1. 2D Free Jet Simulations (FLUENT) Oct. 31 2013 yan

  2. Outline • 2D Laminar Plane Jet • Theoretical Solutions • Numerical Calculations (FLUENT code) • Mean Stream Velocity • Jet Half Width • Momentum Thickness • 2D Laminar Round Jet • Theoretical Solutions • Numerical Calculations (FLUENT code) • Mean Stream Velocity • Jet Half Width • Momentum Thickness

  3. 2D Laminar Plane Jet― Theoretical Solutions Air emerges into a still air from a 2D slot at x=0 • Constant momentum flux (J) at any cross section • Spread at constant pressure (P = 1 bar) • Red = 400 ( ux = 0.64 m/s) • Temperature = 300 K • ρ = 1.225 kg/m3;ν = 1.46073×10-5 m2/s; Fig.1 Typical free 2D laminar plane jet streamline pattern Laminar Plane Jet (Schlichting 1933)

  4. 2D Laminar Plane Jet― Numerical Calculations Halved geometry Wall Pressure outlet Inlet velocity Interior Symmetrical axis

  5. 2D Laminar Plane Jet― Numerical Calculations • Centerline Velocity( )

  6. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 20 x/d = 10

  7. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 30 x/d = 40

  8. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 60 x/d = 50

  9. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 70 x/d = 80

  10. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 90 x/d = 100

  11. 2D Laminar Plane Jet― Numerical Calculations • Jet Half Width ( )

  12. 2D Laminar Plane Jet― Numerical Calculations • Jet Self-similarity

  13. 2D Laminar Plane Jet― Numerical Calculations • Momentum Thickness ( )

  14. Outline • 2D Laminar Plane Jet • Theoretical Solutions • Numerical Calculations (FLUENT code) • Mean Stream Velocity • Jet Half Width • Momentum Thickness • 2D Laminar Round Jet • Theoretical Solutions • Numerical Calculations (FLUENT code) • Mean Stream Velocity • Jet Half Width • Momentum Thickness

  15. 2D Laminar Round Jet― Theoretical Solutions r Air emerges into a still air from a circular orifice at x=0 • Constant momentum flux (J) at any cross section • Spread at constant pressure (P = 1 bar) • Red = 400 ( u = 0.64 m/s) • Temperature = 300 K • ρ = 1.16 kg/m3;ν = 1.6×10-5 m2/s; Narrow Axisymmetric Jet (Schlichting 1933)

  16. 2D Laminar Round Jet ― Numerical Calculations Halved geometry Wall Pressure outlet Inlet velocity Interior Axial symmetirc

  17. 2D Laminar Round Jet― Numerical Calculations • Centerline Velocity( )

  18. 2D Laminar Round Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 20 x/d = 10

  19. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 30 x/d = 40

  20. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 60 x/d = 50

  21. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 70 x/d = 80

  22. 2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 90 x/d = 100

  23. 2D Laminar Round Jet― Numerical Calculations • Jet Half Width ( )

  24. 2D Laminar Round Jet― Numerical Calculations • Jet Self-similarity

  25. 2D Laminar Round Jet― Numerical Calculations • Momentum Thickness ( )

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