Fluid mechanics

 

NUMERICAL PROBLEMS (4 X 3 = 12 Points) Q1. An oil flows through 50.0 m of cast iron pipe having a diameter of 0.25 m. If the volumetric flow is 0.40 m^3/s, determine the head loss in the pipe. Take Kinematic Viscosity as 0.120*(10^-2) m2/s. Q2. Compare the Ratio of Major Loss according to Darcy-Weisbach equation through two pipe system of same material (f) Arrangement#1- (HL1): First system - for given length L, diameter of pipe D and velocity of flow V. Arrangement#2 (HL2): Second system-length is doubled (2L), Diameter is halved (D/2); Velocity of flow is halved (V/2). Q3. Compare the ratio of Major Head Loss according to Darcy-Weisbach equation through following pipe system arrangements of same material (f) Arrangement#1- (HL1): First system: Three pipes are in Series each of length L and diameter D carrying Q discharge in each pipe. Arrangement#2-(HL2): Second system: Three pipes are in Parallel each of length L and diameter D carrying (Q/3) equal discharge in each pipe. Q4. A Pipe of diameter 0.15 m caries a discharge of 0.025 m^3/s. The pipe system consists of a following pipe fittings in series: One Globe valve (fully opened); one Angle Valve (fully opened); 90 degree elbow (short radius)- 4 nos.; 45 degree bend (short radius)- 2 nos.; Calculate the overall MINOR LOSS of pipe system. 7| Page CE-320: Fluid Mechanics Chapter 10; Analysis and Design of Pipe Flow TABLE 10-1 Loss coefficients for pipe fittings KL Gate valve-fully opened 0.19 Globe valve-fully opened 10 Angle valve-fully opened 5 Ball valve-fully opened 0.05 Swing check valve 2 90 elbow (short radius) 0.9 90 long sweep elbow 0.6 45' bend (short radius) 0.4 180 return bend (short radius) 2 Tee for V along pipe run 0.4 Tee for V along branch 1.8 10 TAB01