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

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Presentation on theme: "2D Free Jet Simulations (FLUENT) Oct. 31 2013 yan."— Presentation transcript:

1 2D Free Jet Simulations (FLUENT) Oct 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) – Re d = 400 ( u x = 0.64 m/s ) – Temperature = 300 K – ρ = kg/m 3 ; ν = ×10 -5 m 2 /s ; Laminar Plane Jet (Schlichting 1933) Fig.1 Typical free 2D laminar plane jet streamline pattern

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

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

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

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

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

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

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

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

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

13 Momentum Thickness ( ) 2D Laminar Plane Jet ― Numerical Calculations e e e e e e e e e e e e-3

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 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) – Re d = 400 ( u = 0.64 m/s ) – Temperature = 300 K – ρ = 1.16 kg/m 3 ; ν = 1.6×10 -5 m 2 /s ; Narrow Axisymmetric Jet (Schlichting 1933) r

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

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

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

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

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

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

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

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

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

25 Momentum Thickness ( ) 2D Laminar Round Jet ― Numerical Calculations e e e e e e e e e e e e-1


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