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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) 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) • Mean Stream Velocity • Jet Half Width • Momentum Thickness
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)
2D Laminar Plane Jet― Numerical Calculations Halved geometry Wall Pressure outlet Inlet velocity Interior Symmetrical axis
2D Laminar Plane Jet― Numerical Calculations • Centerline Velocity( )
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 20 x/d = 10
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 30 x/d = 40
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 60 x/d = 50
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 70 x/d = 80
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 90 x/d = 100
2D Laminar Plane Jet― Numerical Calculations • Jet Half Width ( )
2D Laminar Plane Jet― Numerical Calculations • Jet Self-similarity
2D Laminar Plane Jet― Numerical Calculations • Momentum Thickness ( )
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
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)
2D Laminar Round Jet ― Numerical Calculations Halved geometry Wall Pressure outlet Inlet velocity Interior Axial symmetirc
2D Laminar Round Jet― Numerical Calculations • Centerline Velocity( )
2D Laminar Round Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 20 x/d = 10
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 30 x/d = 40
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 60 x/d = 50
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 70 x/d = 80
2D Laminar Plane Jet― Numerical Calculations • Mean Stream Velocity ( ) x/d = 90 x/d = 100
2D Laminar Round Jet― Numerical Calculations • Jet Half Width ( )
2D Laminar Round Jet― Numerical Calculations • Jet Self-similarity
2D Laminar Round Jet― Numerical Calculations • Momentum Thickness ( )