final-exam-fall11

# final-exam-fall11 - The University of Michigan Department...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The University of Michigan Department of Mechanical Engineering ME 320 - Sections 1 & 2 Final Exam - December 15, 2011 Problem 1 (23 points) Two thin rectangular plates, of length L and width w into the page, are connected at one end by a closed-end flexible bellows arrangement, as shown in the figure. The parallel plates are separated by a distance h ( t ) which is decreasing at a constant rate dh/dt . The flow between the plates can be assumed to be highly viscous (inertia free) and incompressible. The plate width w is much greater than the length L and dh/dt is small, so that it can be assumed the flow between the plates is unidirectional along the x direction with volume flow rate Q ( x,t ). The pressure at the outlet x = L is atmospheric pressure, p a , and the fluid density is ρ . The given quantities are ρ , L , w , h ( t ), dh/dt , and p a . (3 pnts) (a) Find the volume flow rate per unit width, Q ( x,t ) /w . (9 pnts) (b) Find the pressure distribution, p ( x,y,t ) between the two plates. You may neglect gravity....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

final-exam-fall11 - The University of Michigan Department...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online