EndSem FPM
EndSem FPM
EndSem FPM
Instructions:
1) Each question carries 20 marks.
2) Exam duration including the time for scanning the response sheet is 60 minutes.
3) Reply your response as a separate email to ramkarn@iitism.ac.in with your name and
roll number as the subject of the email.
4) Your video must be on during the exam.
Assume an axisymmetric, fully-developed, and steady laminar flow. You can use additional
assumptions to arrive at the result.
1
radius of the pipe and Um is the maximum velocity. Find the length of the pipe up to which
fluid will travel due to the imposed pressure gradient before stopping owing to the frictional
losses.
Problem 4: Several particles of diameter 6 mm are falling through air. The particle ma-
terial density is 1330 kg/m3 and particles occupy 40% of space by volume while the remaining
is occupied by the air. What is the settling velocity of the particles?
Hint: Use the parameter
(1/3)
gρ(ρp − ρ)
K = Dp (5)
µ2
to determine the regime. If K < 2.6 then it is a Stoke’s flow regime. If 68.9 < K < 2360
then Newton’s flow regime.
Problem 5: A machine intends to crush the iron ore at 100 ton/hr from average size
50 mm to a lower size by providing power 1000 kW. Estimate the approximate average
diameter of the crushed product.