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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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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 2 M ETHODOLOGY M ETHODOLOGY Numerical Methodology (Fluid solver) (Momentum Eq’n) (Conservation of Mass) Navier-Stokes Equations INFLOWOUTFLOW NORTH (Freestream ) SOUTH (Freestream) YGYG ZGZG XGXG

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 3 S TEADY FLOW PAST A CIRCULAR CYLINDER S TEADY 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.

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 4 S TEADY FLOW PAST A CIRCULAR CYLINDER S TEADY FLOW PAST A CIRCULAR CYLINDER Regression analysis for drag coefficient (C d ) and Reynolds number (Re)

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 5 U NSTEADY FLOW PAST A CIRCULAR CYLINDER U NSTEADY FLOW PAST A CIRCULAR CYLINDER Contours of U velocity and swirl strength at Re = 150

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 6 U NSTEADY FLOW PAST A CIRCULAR CYLINDER U NSTEADY FLOW PAST A CIRCULAR CYLINDER Lift and Drag coefficients at Re = 150 and Re = 95 f lift ≈ 2.0*f drag C drag = C drag sin(2π*0.4*(tU/D)) y(t)=A sin(2πft) C lift = sin(2π*0.2*(tU/D)) C drag = C drag sin(2π*0.33*(tU/D)) C lift = 0.01 sin(2π*0.17*(tU/D))

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 7 P OWER SPECTRAL DENSITY ( RE =150; C DRAG & C LIFT ) P OWER SPECTRAL DENSITY ( RE =150; C DRAG & C LIFT )

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 8 P OWER SPECTRAL DENSITY ( RE =95; C DRAG & C LIFT ) P OWER SPECTRAL DENSITY ( RE =95; C DRAG & C LIFT )

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 9 C ROSSSPECTRAL ANALYSIS ( C DRAG & C LIFT ) C ROSSSPECTRAL ANALYSIS ( C DRAG & C LIFT )

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 10 C OHERENCE ( C DRAG & C LIFT ) C OHERENCE ( C DRAG & C LIFT )

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 11 R ESULTS R ESULTS Instantaneous velocity analysis Vortex length depends on the Re for steady flow. Vortex shedding becomes clear for unsteady flow. Regression analysis for C d and Re C d decreases as Re increases. Power spectral density Power for C d and C l waves are same for same Re. analysis Power for C d and C l waves increases as Re increases. Crossspectral analysis There is no correlation between C d and C l for the studied cases.

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Georgia Tech School of Civil & Environmental Engineering Computational Fluid Dynamics 12 Q & A Structural Engineering

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