Page 282 - Modelling in Transport Phenomena A Conceptual Approach

262 CHAPTER 8. STEADY MCROSCOPIC BALANCES WITHOUT GEN.

the resulting heat transfer rate and the temperature distribution as a function of
position are given in Table 8.4.

Table 8.3 Heat transfer rate and temperature distribution for onedimensional
conduction in a hollow cylinder for the boundary conditions given by Eq. (8.2-27).

Heat Transfer
Constants Temperature Distribution
Rate
/ \
21rL /" k(T) dT /" k(:

Tz - T
k
T2 - Tl

Table 8.4 Heat transfer rate and temperature distribution for onedimensional
conduction in a hollow cylinder for the boundary conditions given by Eq. (8.2-28).
Heat Transfer
Constants Temperature Distribution
Rate

None 27rRlLql (A) kT2 k (T) dT = q1 R1 In

8.2.2.1 Electrical circuit analogy
Equation (B) in Table 8.3 can be expressed as
- TI - Tz
' ln(Rz/R1) (8.2-29)
=
21rLk
Comparison of Eq. (8.2-29) with Eq. (8.2-10) indicates that the resistance is given
bY
WWRi )
Resistance = (8.2-30)
27rLk