ME231/ME/IITK/Spring 2015 Page 1 of 1

ME231: Home Assignment 8

Due: April 08, 2015; in-class

Use Moody diagram or Colebrook correlation for friction factor calculation

1. (50 points) The bathroom plumbing of a building, shown in Fig 1, consists of 1.5cm

diameter GI pipes (roughness 1.5m). For an inlet gage pressure is 200kPa, determine the volume flow rate of water through the shower when (a) the toilet reservoir is full, and (b)

the toilet reservoir is empty. Please note that the toilet reservoir is equipped with a float

valve. Minor loss coefficients are tabulated below:

Minor loss Elbow/ Tee Globe valve Float valve Shower head

K 0.9 10 14 12

2. (50 points) A pump is drawing 7kW electricity, for supplying water from reservoir A

to B through parallel pipelines, as shown in Fig 2. Both the reservoirs are open to

atmosphere and the pipelines, made of polymer, are newly-installed. Assuming

hydrodynamically smooth pipe and neglecting minor losses in the pipeline and pump,

calculate the volume flow rate in each branch of the pipeline.

Fig 1. Bathroom plumbing (Problem 1) Fig 2. Parallel piping (Problem 2)