MAE 5130: VISCOUS FLOWS Introduction to Turbulent Flows

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Presentation transcript:

MAE 5130: VISCOUS FLOWS Introduction to Turbulent Flows November 23, 2010 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

SAMPLE STEADY TURBULENT DATA Sampling time = 10 seconds, Sampling rate = 100 Hz Function f: ± 10 % fluctuation around a mean of 5 Function g: ± 2 % fluctuation around a mean of 10

STATISTICAL ANALYSIS

AVERAGING POSTULATES

EXPERIMENTAL DATA AND SCALED TURBULENT BOUNDARY LAYER VELOCITY PROFILES Wall layer: Viscous shear dominates (tlam >>> tturb) Outer layer: Turbulent shear dominates (tlam <<< tturb) Overlap layer: Both types of shear important (tlam ~tturb)

TURBULENT BOUNDARY LAYER SCALING

EXPERIMENTAL VERIFICATION OF INNER-, OUTER-, AND OVERLAP-LAYER LAWS RELATING VELOCITY PROFILES IN TURBULENT WALL FLOW

COMMENTS ON ROUGH WALLS IF e+ < 5 Hydraulically smooth walls No effect of roughness on friction IF 5 < e+ < 70 Transitional roughness Moderate Reynolds-number effect IF e+ > 70 Fully rough flow Sublayer is totally broken up and friction is independent of Reynolds number

THE MOODY CHART