Crib Sheet

Table of Contents

Nomenclature

h = convective heat transfer coefficient, w / m2 K
H = rate of heat flow, w
I = electric current, amps
k = thermal conductivity of solid, w / mK
kf = thermal conductivity of liquid, w / mK
L = length of rod, m
= outward drawn normal to a surface
q = heat flux, w / m2
q = -k ( dT /dz )
= heat flux, w / m2
Q = net outflow of heat, w
Qgen = volumetric rate of heat generation, w / m3
r = radial length variable, m
R = radius of rod, m
S = surface area, m2
T = temperature, K
V = volume, m3
w = fin width, m
x or z = length variable, m

Greek Symbols

= vector differential operator
= dimensionless length, z /
= dimensionless temperature (various definitions
= kinematic fluid velocity, m/s
= electrical resistivity of solid, ohms m

 

Equations

1.1

2.1

2.3

3.1

 T0 = c2

3.2

3.3b

3.4
 
 
 
 
sinh (L-z) = sinh L cosh z - cosh L sinh z

4.1

4.2

4.3

4.4

4.5

4.6

4.7

 

5.1

5.2

5.3

5.4

5.5

5.6

5.7

5.8

6.1

6.2

6.3

6.4

6.5

6.6

   
 

 

Media

 

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