The pressure drop in a section of pipe can be calculated as f L V 2 2D Where p the pressure drop (Pa), the friction factor, L the length of pipe m , p density (kg m 3 ), V velocity (m s), and D diameter (m) For trubulent flow, the Colebrook equation provides a means to calculate the friction factor...

a The Reynolds number can be computed as In order to find f we must ...

The pressure drop in a section of pipe can be calculated as ?? = f L?V 2

Question:

The pressure drop in a section of pipe can be calculated as ?? = fL?V²/2D

Where ? p = the pressure drop (Pa), ? = the friction factor, L = the length of pipe [m], p = density (kg/m³), V = velocity (m/s), and D = diameter (m). For trubulent flow, the Colebrook equation provides a means to calculate the friction factor,?

Where ? = the roughness (m), and Re = the Reynolds number, Re = ?VD/?

Where ? = dynamic viscosity (N. s/m²).

(a) Determine ?p for a 0.2-m-long horizontal stretch of smooth drawn tubing given p = 1.23 kg/m³, ? = 1.79 x 10^-5 N. s/m², D = 0.005 m, V = 40 m/s, and ? = 0.0015 mm. Use a numerical method to determine the friction factor. Note that smooth pipes with Re 5, a good initial guess can be obtained using the blasius formula, ? = 0.316/Re^0.25,

(b) Repeat the computation but for a rougher commercial steel pipe (? = 0.045 mm).