Define an ideal fluid. What properties and behaviour characterize an Ideal fluid? List out the different types of fluid flows. State Bernoulli's theorem for steady flow of an incompressible fluid. Derive an expression for Bernoulli's equation from first principles (Starting from Euler's Equation) and state the assumptions made for such a derivation. A circular pipe has a diameter at the sections 1 and 2 as 15 cm and 20 cm respectively. Determine the volume flow rate (discharge) through the pipe if velocity of water at section 1 is given as
4(m)/(s)
. Determine the velocity fluid at the exit section 2 . A 350 mm diameter pipe carries oil of
sp.gr0.89
at a velocity of
1(m)/(s)
. At another section along the flow, the diameter is 200 mm . Determine the velocity, discharge (volume flow rate) at this section also determine the mass flow rate of oil. If there is a 5 percent reduction in the density of oil due to temperature rise, determine the loss in terms of mass flow rate. A 500 mm diameter pipe, conveying water, branches into two pipes of diameter 250 mm and 200 mm respectively. If the average velocity in the 500 mm diameter pipe is
2(m)/(s)
, find the discharge in this pipe. Also determine the velocity in 200 mm pipe if the average velocity in 250 mm diameter pipe is
1.5(m)/(s)
. Water is flowing through a pipe of 4 cm diameter under a pressure of
29.49(N)/(c)m^(2)
and with a mean velocity of
1.0(m)/(s)
. Find the total head or total energy per unit weight of the water at a cross-section, which is 5 m above the datum line. Water is flowing through a circular tapered pipe having diameter 200 mm and 150 mm at the bottom and upper end respectively. The intensity of pressure at the bottom end is 24.525
(N)/(c)m^(2)
and the pressure at the upper end is
9.81(N)/(c)m^(2)
. Determine the difference in datum head if the rate of flow through pipe is
50li(t)/(s)
. A pipe, through which water is flowing, is having diameter, 25 cm and 15 cm at the crosssections 1 and 2 respectively. The velocity of water at section 1 is given as
2.0(m)/(s)
. Determine the velocity head at section 1 and 2 and also rate of discharge and the mass flow rate at 25
degC
. Water is flowing through a tapered pipe having diameters 30 cm and 20 cm at sections 1 and 2 respectively. The rate of flow through pipe is 40 litres
/s
. The section 1 is 10 m above datum and section 2 is 4 m above datum. If the pressure at section 1 is
39.24(N)/(c)m^(2)
, find the pressure at section 2.