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z

y

x

Lecture #7

- Recap lecture #6
- - Developed equation to describe pressure in the atmosphere

- Applied hydrostatics principles to problems

Problem Set # 2, due on Friday, September 10th: 2.10, 2.20, 2.24, 2.28, 2.36

- Focus of today’s lecture
- - Verify problem solution you were expected to compete from last lecture
- - Examine hydrostatic forces on planar submerged surfaces with the goal
- of finding magnitude and line of action of net hydrostatic force

Fluid Mechanics: Mahalingam

l3

C

F

E

A

l2

G

Water

l1

B

D

=>

Lecture #7 - continued

To Express Pc in terms of mm’s of Hg

- Substitute numerical values

Fluid Mechanics: Mahalingam

A

B

h2

h1

Lecture #7 - continued

- Read section 2.5, MYO, 3rd edition on absolute/gage pressure/textbook
- convention, concept of pressure head on page 46

- Manometry - Demo

Assumptions: Static fluid, gravity is the only

body force, z axis vertical

- Read 2.6.3 and 2.7, MYO, 3rd edition for other pressure measuring devices

Fluid Mechanics: Mahalingam

Lecture #7 - continued

- Hydrostatic forces on submerged surfaces

- Begin by considering forces on planar surfaces

- Basic ideas are the same when considering curved surfaces

- Planar surface analysis

Goal

- To find magnitude of force on a planar surface submerged in a
- fluid
- To find location of net force or Center of Pressure

Fluid Mechanics: Mahalingam

hc

q

F

x

x

yR

z

dA

yc

y

dF

dy

h

y

y

Lecture #7 - continued

Here yc is the y-coordinate of centroid of area

Fluid Mechanics: Mahalingam

Lecture #7 - continued

- Introduce Module 2 briefly (Surface tension module) at the end of lecture

- At the beginning of lecture, point to website for course
- http://stripe.colorado.edu/~mcen3021

Fluid Mechanics: Mahalingam

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