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categoryالهندسة الميكانيكية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Question 3:
For lubrication flow as covered in the 11/18 lecture, find the pressure distribution along the length
of the bearing with:
h(x)=h₂+(h-h₂)
the following boundary conditions:
P(x = 0) = P(x=L) = P∞
P..
stationary slipper pad bearing
flow direction
bottom plate moving
ho
h₁
at constant horizontal velocity
U
Now with U=10 m/s, L-4 cm, ho=0.1 mm, plot how the pressure distribution along the length
would look like for h₁/ho=0.2, 0.3, 0.5. Assume the fluid is SAE 30 Oil at 20°C (see table below).
Also, with U=10 m/s, L-4 cm, ho=0.1 mm and hi/ho-0.2, plot the pressure distribution if SAE 30
Oil is at 20°C, 40°C and 60°C.
What can you conclude about the load the bearings can take based on area of constriction and oil
temperature?
The properties of SAE 30 Oil is given below:
Temp. [°C] Dyn. Viscosity [mPa.s]
Kin. Viscosity [mm²/s]
Density [g/cm³]
0
1124.10
1257.25
0.8941
10
491.10
553.20
0.8878
228228
20
239.39
271.56
0.8815
30
128.42
146.70
0.8754
40
74.55
85.76
0.8693
50
46.43
53.80
0.8630
60
30.58
35.69
0.8569
70
21.17
24.89
0.8506
80
15.28
18.10
0.8444
90
11.42
13.62
0.8383
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