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**STATISTICAL PROPERTIES OF FLOW AROUND A CYLINDER**

by Sibel Kara EAS Environmental Data Analysis Project Presentation

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**Methodology Numerical Methodology (Fluid solver) (Momentum Eq’n)**

Navier-Stokes Equations (Conservation of Mass) NORTH (Freestream) INFLOW OUTFLOW YG ZG XG SOUTH (Freestream)

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**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.

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**Steady flow past a circular cylinder**

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

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**Unsteady flow past a circular cylinder**

Contours of U velocity and swirl strength at Re = 150

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**Unsteady flow past a circular cylinder**

Lift and Drag coefficients at Re = 150 and Re = 95 flift ≈ 2.0*fdrag flift ≈ 2.0*fdrag y(t)=A sin(2πft) Cdrag = Cdrag sin(2π*0.4*(tU/D)) Cdrag = Cdrag sin(2π*0.33*(tU/D)) Clift = sin(2π*0.2*(tU/D)) Clift = 0.01 sin(2π*0.17*(tU/D))

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**Power spectral density (re=150;cdrag &clift)**

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**Power spectral density (re=95;cdrag &clift)**

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**Crossspectral analysis (cdrag &clift)**

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**Coherence (cdrag &clift)**

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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.

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Q & A Thank you ! Structural Engineering

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