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2D Free Jet Simulations (FLUENT) Oct yan

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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

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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

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

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

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

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

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

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

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

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

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

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

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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

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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

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

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

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

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

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

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

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

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

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

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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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