Question

CHML 208 - CHEMICAL ENGINEERING PRINCIPLES I-SPRING 2020 Problem Set #2 Due: January 30, 2020 1. A fluid has the following properties: u= 0.85 N.s/m? p = 950 kg/m3 Assume the fluid flows in a pipe with a diameter of 2 cm and a length of 15 m. a) If Q=2.5x10 m3/s, what pressure drop is needed to produce a flow rate? b) How steep a hill, e, must the pipe be on if it flows at the same rate as (a), but p1=p2? c) For the conditions in part (b), if p1=100 kPa, what is the pressure in the middle of the pipe?

Answer 1

he = evde evd eload Here P= 950 kg/m3 &= 2.5x105 m/s A= Ex (0.02)² m² d = 0.02m M=0.85 N.s/m² Calculating Re = 1,78 = laminar

... according to Hager. Poiseuille equation, - Apa 128 MLB M L=15 m 2 DPI227181169.02 N/m? - ans (a)

for non-horizontal pipe - A (AP- eg Lşin o) dy _128ůL Here AP=0 & sino =-128 Mb L apady 3 D= sia "Ensenyament - 9= 9.81 m/821 - Pulting the values and calculating O = 35. 49 - ans (b) o o = A (AP - Pg L sind) de 128 ML و ML 128 - ممد Td4t lgtsino

Seina o =-35.490 2= 152 = 7.5m AP=40584.5105 40584,5105 » PI-Plin middle) =0 =) p (in middle) = P1=(100 kPa - ans (c)