(Answered)-(a) Sketch the pressure distribution on the top and bottom sides - (2025 Updated Original AI-Free Solution
Question
- (a) ?Sketch the pressure distribution on the top and bottom sides of the bearing shoe?
- (b) ?What is the pressure required in the oil reservoir in order to maintain the bearing height gap of h = 0.002cm?
- (c) ?What is the flow rate of oil per meter length of the bearing that is required to maintain the bearing height gap of h = 0.002cm?
- (d) ?What is the equation for the shear stress along the bottom of the bearing?
4. 30pts Consider the oil bearing in the following diagram. Oil (? = 0.08P a ? s, ? = 850kg/m3 ) is at
a high pressure inside the circular cross section channel inside the bearing shoe. Due to the higher
pressure, the oil is squeezed out of the circular cross section reservoir and under the bearing shoe where
it forms a gap between the bearing and the ground channel.
In this problem the bearing shoe and the housing are stationary and the oil flows in a thin layer from
the center to the sides. A constant gap height is maintained, through which oil flows between the base
and the bearing. Assume that the length of the bearing (into the page) is sufficiently large that the
problem can be considered as a two-dimensional problem. Clearly state any assumptions you make
and clearly illustrate your solution process. Describe critical steps and the elimination of terms in any
equations. Answer the questions below.
Figure 3: The oil bearing problem.
For the questions below start from the general governing fluid dynamics equation(s) and
indicate/justify all assumptions or simplifications you make.
(a) Sketch the pressure distribution on the top and bottom sides of the bearing shoe?
(b) What is the pressure required in the oil reservoir in order to maintain the bearing height gap of
h = 0.002cm?
(c) What is the flow rate of oil per meter length of the bearing that is required to maintain the
bearing height gap of h = 0.002cm?
(d) What is the equation for the shear stress along the bottom of the bearing?
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