(a)
The value of convergence
Answer to Problem 34EP
Convergence
Explanation of Solution
Given:
Concept Used:
Convergence of the gap expression which is non-dimensional expression.
Also
Calculation:
As non-dimensional convergence of the gap
Where,
Putting
Conversion for convert angle from radians to degree
Comparing
As
Conclusion:
Hence, the convergence of the gap
(b)
The gauge pressure half way along with slipper-pad
Answer to Problem 34EP
The gauge pressure halfway along the slipper pad is 229.7 atm which is more than 200 atm. large value and this large force is act on small slipper pad bearing.
Explanation of Solution
Given:
Dynamic viscosity of the engine oil from table
Concept Used:
Expression of gauge pressure halfway along the slipper pad.
Calculation:
Now, the pressure function of distance 'x' the expression is given by
Where,
Now the gauge pressure halfway along slipper pad is given by,
Now, substituting the value in the givenexpression, we get,
Conclusion:
Hence, the gauge pressure halfway along the slipper pad is 229.7 atm.
As the pressure is more than 200 atm which is very large,large force acts on small slipper pad bearing.
(c)
The plotting of P* as a function of x*
Answer to Problem 34EP
The expression of 'P' is given by
Tabulating value of x from 0 to 1,
We get 'P's value and it plotted on a graph.
Explanation of Solution
Given:
Dynamic viscosity of the engine oil from table
Concept Used:
Expression of gauge pressure halfway along sleeper pad.
Calculation:
The non-dimensional equation for the pressure exerted by slipper pad and also distance equations is given by,
We know that,
Substituting p and x,L for x, and also
We get
Putting the value of from 0 to 1 we get the p's various values which is further plotted on the graph.
Conclusion:
Hence, we find out the expression of p in terms of x so that by various values of x (0 to 1), we get graph of p v/sx.
(d)
The pounds (lbf) of weight (load) this slipper pad bearing can support, if it is b = 6.0 in deep.
Answer to Problem 34EP
The load carrying capacity of slipper pad is 14460.345/bf.
Explanation of Solution
Given Information:
Concept used:
Expression of load carrying capacity of slipper pad
The load carrying capacity of slipper pad by math software is
But p gauge
Substituting all P gauge value in equation (a)
We get
But,
Conclusion:
From the expression
We get,
The load carrying capacity of the slipper pad is
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Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
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