Fluid
1. A venturimeter of throat diameter d2= 0.076m and entrance diameter d1=0.152m is shown in Figure 2. In the venturimeter, a liquid of density ρ=800 kg/m3 flows downwards. Gauge pressure at the entrance and the throat of the liquid the venturimeter
are measured. The throat is 0.914m below the entrance. Take the accelerate due to gravity force g being 9.81m/s2. Determine:
(a) The volume discharge rate of liquid (m3/s) when the measurements of gauge pressure at the throat and entrance is the same.
(b) The volume discharge rate of liquid (m3/s) when the measurements of gauge pressure at the entrance is 15170N/m2 higher than that at the throat.
Figure 2
1. The distribution of velocity, u, as a fluid flowing inside a tube follows the law u=2.5-kr2, where k is a constant and r is ranged from 0 and 0.025m. The flow velocity at the pipe internal surface is zero. The fluid has a coefficient of viscosity of 0.00027 kg/ms. Determine:
(a) The he volume of flow rate.
(b) The shearing force between the fluid and the inside pipe wall per unit length of pipe.
2. Figure Q3 shows water being pumped between two reservoirs. The increase in the total pressure across the pump PT required to generate a flow rate Q is
where L, d, u and f denote the length, diameter, flow velocity and friction factor for each length of pipe (subscripts 1 and 2 respectively). H and h are the
heights of the water levels.
Figure Q3
i) Explain what is required for the value of ∆PT to be independent of the position of the pump.
ii) Write down the equation for ∆PT when the requirement in Q5(b)i) is met. Identify the terms on the right-hand side of the equation in relation to the energy equation.