1. Deduce the value of a dimensionless constant, n and dimensions of quantity, K in the...

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1. Deduce the value of a dimensionless constant, n and dimensions of quantity, K in the following equations, to make them valid physical relations: Po pg 1 Vn P pg 2 g = + K (b) F=37KD"V + pV"D" 9T 16 0.54 (c) Q = KD.63 (AP) Here p, po are pressures, p is density, V is velocity, F is force, u is viscosity, Q is the volume flow rate, g is acceleration due to gravity, and D is diameter. Equations of type (c) typically come from empirical relations, where experimental data is fitted with an arbitrary curve to get a relation (rather than using governing equations for closed form solutions). 1. Deduce the value of a dimensionless constant, n and dimensions of quantity, K in the following equations, to make them valid physical relations: Po pg 1 Vn P pg 2 g = + K (b) F=37KD"V + pV"D" 9T 16 0.54 (c) Q = KD.63 (AP) Here p, po are pressures, p is density, V is velocity, F is force, u is viscosity, Q is the volume flow rate, g is acceleration due to gravity, and D is diameter. Equations of type (c) typically come from empirical relations, where experimental data is fitted with an arbitrary curve to get a relation (rather than using governing equations for closed form solutions).

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In the image youve shown were tasked with deducing the value of a dimensionless constant its power exponent n and dimensions of another quantity K within three separate equations to ensure they are va... View the full answer