Problem

Calculate the numerical value of each of the dimensionless parameters listed in the table....

Calculate the numerical value of each of the dimensionless parameters listed in the table. Be sure to check that the ratio is actually dimensionless after you insert the values.

 

Situation

Name

Expression

Value

(a)

Air over a flat plate

Nusselt number, Nu

 

(b)

Water: Effect of surface tension

Weber number, We

 

(c)

Wind making a wire “sing”

Strouhal number, St

 

Properties and definitions for this problem:

Property

Symbol

Units

Air

Water

Density

P

slugs/ft3

0.002378

1.94

Heat transfer coefficient

h

W/(m2 °C)

20

----

Thermal conductivity

k

W/(m K)

0.025

0.7

Surface tension

σ

dynes/cm

----

70

Property

Symbol

Units

Value

Plate length

L

ft

2

Depth of water film

d

cm

3

Water speed

vw

cm/s

210

Air speed

va

mph

60

Oscillation frequency

ω

Hz (or cycles/s)

140

Wire diameter

Dwire

mm

20

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Solutions For Problems in Chapter 9