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Unformatted text preview: Fluids Lab 1 Lecture Notes 1. Bernoulli Equation 2. Pitot-Static Tube 3. Airspeed Measurement 4. Pressure Nondimensionalization Reading: Anderson 3.2, 1.5 Bernoulli Equation Definition For every point s along a streamline in constant-density frictionless ow, the local speed V ( s ) = | V | and local pressure p ( s ) are related by the Bernoulli Equation 1 p + V 2 = p o (1) 2 This p o is a constant for all points along the streamline, even though p and V may vary. This is illustrated in the plot of p ( s ) and p o ( s ) along a streamline near a wing, for instance. s p p o 2 V 1 2 s Standard terminology is as follows. p = static pressure 1 V 2 = dynamic pressure 2 p o = stagnation pressure, or total pressure Also, a commonly-used shorthand for the dynamic pressure is 1 V 2 q. 2 Uniform Upstream Flow Case Many practical ow situations have uniform ow somewhere upstream, with V V ( x, y, z ) = and p ( x, y, z ) = p at every upstream point. This uniform ow can be either at rest with 1 V = 0 Reservoir/Jet Wind Tunnel V = const. const. p = const. p = V(x,y,z) p(x,y,z) V(x,y,z) p(x,y,z) V V (as in a reservoir), or be moving with uniform velocity = (as in a upstream wind tunnel section), as shown in the figure....
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- Fall '05