Fluid mechanics. Plate pulled within viscous fluid.

AI Thread Summary
The discussion revolves around a homework problem in fluid mechanics involving a plate pulled through a viscous fluid. The individual has successfully addressed the first part of the problem but is struggling with part B, particularly regarding the different distances between the plate and the stationary plates above and below it. They suspect that the shear forces may not be uniform on both sides of the plate, which could be causing discrepancies in their calculations. The participant seeks clarification on their assumptions and any potential errors in their approach. Assistance is requested to resolve these uncertainties.
thepatient
Messages
160
Reaction score
0

Homework Statement



I have the statement, variables and given/known data in the picture along with relevant equations and solution attempt.

256a2di.jpg


Homework Equations





The Attempt at a Solution



I think I did the first part right. But I'm unsure about part B. The distance between the plate t is different between the stationary plate above than the distance below the plate to the stationary plate. Computing using the different distances give me a different value. I'm unsure what I'm doing wrong or what assumption is incorrect.

Any help would be appreciated. Thanks. :]
 
Physics news on Phys.org
I was thinking maybe the shear isn't the same on both sides of the plate in part b?
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top