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Microsoft Word - Assignmemt1_corrected MECH 3780/6480 ASSIGNMENT 1. DUE DATE: 11:59 pm, 12 August 2022 Required:  Hand-written is not acceptable. Graphs must be produced by Excel....

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Microsoft Word - Assignmemt1_co
ected
MECH 3780/6480
ASSIGNMENT 1.
DUE DATE: 11:59 pm, 12 August 2022
Required:
 Hand-written is not acceptable. Graphs must be produced by Excel. Explanation/analysis by Word.
Submitted version in PDF format.
 Font size (including the excel graph): 12, Font name: Times New Roman, Font color black.

1. A centrifugal pump with backward-curved blades has the measured performance given in Table 1 at speed
of 1450 rpm. Tank A and B is large and open to air. The suction pipe has length L1, inner diameter D1, and friction
factor 1; the discharge pipe has length L2, inner diameter D2, and frictional factor 2. The height between two
surfaces is Z. These parameters are given in Table 2.
Questions:
a) Plot performance curves of the pump; (20 marks)
) Determine the operation point (Q, H, ) of the pump in the system, considering all the local and frictional
losses. Local loss factor at the bend (b) is given in Table 2. Density of water is =998 kg/m3, g=9.81m/s2.
(60 marks)

Table 1
Q [l/s] XXXXXXXXXX XXXXXXXXXX
H [m] XXXXXXXXXX XXXXXXXXXX
P (W XXXXXXXXXX XXXXXXXXXX44775

Table 2
Last
digit of
Student
number
System
ID Z L1(m) D1(mm) 1 b L2(m) D2(mm) 2
1 or XXXXXXXXXX XXXXXXXXXX
2 or XXXXXXXXXX XXXXXXXXXX
3 or XXXXXXXXXX XXXXXXXXXX
4 or XXXXXXXXXX XXXXXXXXXX
5 or XXXXXXXXXX XXXXXXXXXX
For example your student number is C1234567, your System ID is 2
2. An model pump delivering water at 60°C at 150 m3/h and 1450 rpm begins to cavitate when the inlet pressure
(vacuum) and velocity are 0.8 at at and 6 m/s, respectively. Find the required NPSH of the pump. (20 marks).
Answered 6 days After Aug 09, 2022

Solution

Jayaraj answered on Aug 11 2022
78 Votes
1. Solution:
a. Performance curves of the pump
. Operating Point of the pump
First, apply Bernoulli’s equation at the surfaces of reservoirs.
+
And here, we know P1 = P2 = Patm, atmosphere pressure
     V1 = V2 velocities at surface, so these also we can neglect
Hp = (
We know Q = A x V = (
    From above equation V = 4Q /
    Now substitute V equation into Hp
Hp = (
Now substitute the value from table 2 in the above equation and from standard local loss factor table for entrance = 0.05 and pipe exit = 1.05 (for system ID 3)
Hp = (6
Hp = 6 + 4180.92 + 1909.34 + 3139.82 + 1295.03 (Here Q (m3/s) & H (m))
Pump head Hp = 6 +...
SOLUTION.PDF

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