A brass alloy is known to have a yield strength of 275 MPa (40,000 psi), a tensile strength of 380 MPa (55,000 psi), and an elas
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Answer:
the volume flow rate per unit depth is:
the ratio is :
Explanation:
From the question; the equations of the velocities profile in the system are:
----- equation (1)
The above boundary condition can now be written as :
At y= 0; u =0 ----- (a)
At y = h; u =0 -----(b)
At y = ; u =
------(c)
where ;
A,B and C are constant
h = distance between two plates
u = velocity
= maximum velocity
y = measured distance upward from the lower plate
Replacing the boundary condition in (a) into equation (1) ; we have:
Replacing the boundary condition (b) in equation (1); we have:
Replacing the boundary condition (c) in equation (1); we have:
replacing for A in (d); we get:
replacing the values of A, B and C into the velocity profile expression; we have:
To determine the volume flow rate; we have:
Replacing
Thus; the volume flow rate per unit depth is:
Consider the discharge ;
Q = VA
where :
A = bh
Q = Vbh
Also;
Then;
Thus; the ratio is :