# vortex - RESULT Part A Free Vortex a Orifice diameter = 0.8...

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RESULT Part A: Free Vortex a. Orifice diameter = 0.8 cm Distance from bridge to water surface, a = 24.5 cm Table 1: Data obtained for 0.8 cm orifice diameter Diamete r at centre, D (cm) Measured height, h (cm) Pitot tube head difference , H (cm) Pressure head / Depth of the pitot tube, X (cm) Velocity, V (cm/s) Radius, r (cm) r2 (cm2) 1/r2 (1/cm2) 1.40 7.80 1.00 0.70 44.29 0.70 0.49 2.04 1.30 8.10 1.00 0.40 44.29 0.65 0.42 2.37 1.10 8.10 1.00 0.40 44.29 0.55 0.30 3.31 2.04 2.37 3.31 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 f(x) = - 0.15x + 0.8 Pressure head against 1/r2 1/r2 (1/cm2) Pressure head, X (cm) Figure 7: Graph of pressure head against 1/r 2 for a 0.8 cm orifice diameter Table 2: Difference between actual and theoretical velocity for 0.8 cm orifice diameter Radius, r (cm) Actual velocity (cm/s) Theoretical velocity (cm/s)

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0.70 44.29 24.51 0.65 44.29 26.40 0.55 44.29 31.20 0.55000000000000004 0.65 0.7 0 5 10 15 20 25 30 35 40 45 50 Velocity against radius Actual velocity Theoretical velocity Radius, r (cm) Velocity, V (cm/s) Figure 8: Graph of velocity against the radius of the profile for 0.8 cm orifice diameter b. Orifice diameter = 1.3 cm Distance from bridge to water surface, a = 24.5 cm Table 3 : Data obtained for 1.3 cm orifice diameter
Diameter at centre, D (cm) Measured height, h (cm) Pitot tube head difference , H (cm) Pressure head / Depth of the pitot tube, X (cm) Velocity, V (cm/s) Radius, r (cm) r 2 (cm 2 ) 1/r 2 (1/cm 2 ) 2.60 7.10 1.50

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