statistical properties of flow around a cylinder

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Georgia Tech Computational Fluid Dynamics School of Civil & Environmental Engineering 1 by Sibel Kara EAS 4480 Environmental Data Analysis Project Presentation STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

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STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER. by Sibel Kara EAS 4480 Environmental Data Analysis Project Presentation. Methodology. Y G. X G. Z G. Numerical Methodology (Fluid solver). Navier -Stokes Equations. (Momentum Eq’n ). (Conservation of Mass). NORTH ( Freestream ). - PowerPoint PPT Presentation

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Page 1: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechComputationalFluid DynamicsSchool of Civil & Environmental Engineering

1

by Sibel Kara

EAS 4480 Environmental Data AnalysisProject Presentation

STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

Page 2: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 2

METHODOLOGY Numerical Methodology (Fluid solver)

fupuutu

2

Re1

0 u

(Momentum Eq’n)

(Conservation of Mass)

Navier-Stokes Equations

INFLOW OUTFLOW

NORTH (Freestream)

SOUTH (Freestream)

YG

ZGXG

Page 3: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 3

STEADY FLOW PAST A CIRCULAR CYLINDER The streamlines of the steady state flow obtained by the present method at

Re = UD/ѵ = 20 and Re = 40.

Page 4: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 4

STEADY FLOW PAST A CIRCULAR CYLINDER

Regression analysis for drag coefficient (Cd) and Reynolds number (Re)

Page 5: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 5

UNSTEADY FLOW PAST A CIRCULAR CYLINDER

Contours of U velocity and swirl strength at Re = 150

Page 6: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 6

UNSTEADY FLOW PAST A CIRCULAR CYLINDER

Lift and Drag coefficients at Re = 150 and Re = 95

flift ≈ 2.0*fdrag flift ≈ 2.0*fdrag

Cdrag = Cdrag + 0.04 sin(2π*0.4*(tU/D))

y(t)=A sin(2πft)

Clift = 0.025 sin(2π*0.2*(tU/D))

Cdrag = Cdrag + 0.018 sin(2π*0.33*(tU/D))

Clift = 0.01 sin(2π*0.17*(tU/D))

AUFC d

d 2

2

AU

FC ll 2

2

Page 7: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 7

POWER SPECTRAL DENSITY (RE=150;CDRAG &CLIFT)

Page 8: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 8

POWER SPECTRAL DENSITY (RE=95;CDRAG &CLIFT)

Page 9: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 9

CROSSSPECTRAL ANALYSIS (CDRAG &CLIFT)

Page 10: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 10

COHERENCE (CDRAG &CLIFT)

Page 11: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 11

RESULTS

Instantaneous velocity analysis Vortex length depends on the Re for steady flow. Vortex shedding becomes clear for unsteady flow.

Regression analysis for Cd and Re Cd decreases as Re increases.

Power spectral density Power for Cd and Cl waves are same for same Re. analysis Power for Cd and Cl waves increases as Re increases.

Crossspectral analysis There is no correlation between Cd and Cl for the studied cases.

Page 12: STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER

GeorgiaTechSchool of Civil & Environmental Engineering

ComputationalFluid Dynamics 12

Q & A

Structural Engineering