Question

Q4. A system with turpentine at 25°C (with density $\rho$ = 870kg/m³ and dynamic viscosity $\mu$ = 1.37 × 10?³Pas) is flowing at the rate of 0.015 m³/s as shown in Figure 4. The suction line is a standard 4-in Schedule 40 steel pipe, 15m long. The total length of 2-in Schedule 40 steel pipe in the discharge line is 220m. Assume that the entrance from reservoir 1 is through a square-edged inlet (with resistance coefficient K=0.5) and that the elbows are standard. The valve is a fully open globe valve. (Note: The roughness of steel pipe $\epsilon$ = 4.6 x 10??m) (a) Write an expression to represent the energy equation of this system; (1 mark) (b) Find out the velocity at suction line $v_s$ and velocity at discharge line $v_d$; (2 marks) (c) Determine the friction factor at suction line $f_s$ and discharge line $f_d$ respectively; (3 marks) (d) By given the energy loss in valve in the discharge line is 15.76m and in each standard elbow is 1.39m, find out the total loss $h_L$ of overall system; (3 marks) (e) Calculate the power supplied to the pump if its efficiency is 80 percent. (1 mark) 10 m Standard elbow Discharge line 2-in schedule 40 steel Pump ? I Flow 1 Standard elbow Suction line 4-in Fully open globe valve schedule 40 steel Figure 4 2

          Q4. A system with turpentine at 25°C (with density $\rho$ = 870kg/m³ and dynamic viscosity
$\mu$ = 1.37 × 10?³Pas) is flowing at the rate of 0.015 m³/s as shown in Figure 4. The
suction line is a standard 4-in Schedule 40 steel pipe, 15m long. The total length of 2-in
Schedule 40 steel pipe in the discharge line is 220m. Assume that the entrance from reservoir
1 is through a square-edged inlet (with resistance coefficient K=0.5) and that the elbows are
standard. The valve is a fully open globe valve.
(Note: The roughness of steel pipe $\epsilon$ = 4.6 x 10??m)
(a)
Write an expression to represent the energy equation of this system;
(1 mark)
(b)
Find out the velocity at suction line $v_s$ and velocity at discharge line $v_d$;
(2 marks)
(c)
Determine the friction factor at suction line $f_s$ and discharge line $f_d$ respectively;
(3 marks)
(d)
By given the energy loss in valve in the discharge line is 15.76m and in each standard
elbow is 1.39m, find out the total loss $h_L$ of overall system;
(3 marks)
(e)
Calculate the power supplied to the pump if its efficiency is 80 percent.
(1 mark)
10 m
Standard elbow
Discharge line 2-in
schedule 40 steel
Pump
?
I Flow
1
Standard elbow
Suction line 4-in
Fully open
globe valve
schedule 40 steel
Figure 4
2

Q4. A system with turpentine at 25°C (with density ρ = 870kg/m³ and dynamic viscosity
μ = 1.37 × 10?³Pas) is flowing at the rate of 0.015 m³/s as shown in Figure 4. The
suction line is a standard 4-in Schedule 40 steel pipe, 15m long. The total length of 2-in
Schedule 40 steel pipe in the discharge line is 220m. Assume that the entrance from reservoir
1 is through a square-edged inlet (with resistance coefficient K=0.5) and that the elbows are
standard. The valve is a fully open globe valve.
(Note: The roughness of steel pipe ϵ = 4.6 x 10??m)
(a)
Write an expression to represent the energy equation of this system;
(1 mark)
(b)
Find out the velocity at suction line vs and velocity at discharge line vd;
(2 marks)
(c)
Determine the friction factor at suction line fs and discharge line fd respectively;
(3 marks)
(d)
By given the energy loss in valve in the discharge line is 15.76m and in each standard
elbow is 1.39m, find out the total loss hL of overall system;
(3 marks)
(e)
Calculate the power supplied to the pump if its efficiency is 80 percent.
(1 mark)
10 m
Standard elbow
Discharge line 2-in
schedule 40 steel
Pump
?
I Flow
1
Standard elbow
Suction line 4-in
Fully open
globe valve
schedule 40 steel
Figure 4
2

Added by Donald S.

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