Crib Sheet

Nomenclature

a = constant in equation (5.1) (1 / K)
a = inner radius of cylinder (m)
b = outer radius of cylinder (m)
Amean = area of a circular cylinder of unit length and mean radius r = (a + b) / 2
Cr = cylindrical surface of radius r (a < r < b)
grad T = T = temperature gradient vector (K / m)
k = thermal conductivity (W / mK)
ko = thermal conductivity at T = To
K = parameter representing dimensionless thermal conductivity = (Homework Problem 5.5)
Kr = parameter representing dimensionless thermal conductivity. = (Homework Problem 6.5)
L = length of slab (m)
p = (mK)
q = scalar heat flux (W / m2) =
= heat flux vector (W / m2)
Q = rate of heat flow (W)
R = dimensionless length = (Homework Problem 6.5)
T = temperature (K)
To, TL, Ta, Tb = specified boundary temperatures (K)
= constant in equation (6.1)
= dimensionless temperature = (T - To) / (TL - To) (Homework Problem 5.5)
= dimensionless temperature = (T(r) - Tb) / (Ta - Tb) (Homework Problem 6.5)
= dimensionless length, x / L (Homework Problem 5.5)

 

Equations

1.1

2.1

3.1

3.2

3.3

3.4

3.5

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


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