This page calculates
the temperature of one isothermal (constant temperature) embedded cylinder (T_{1})
and a second cylinder at known temperature (T_{2}) and heat (Q)
conducted from cylinder 1 to 2. The two cylinders are embedded in an infinite
medium of conductivity (*k*).

The plate temperature *T _{1}* is calculated as:

T_{1} = T_{2} + q / (k x sf)

Where *T _{2}* is the isothermal temperature
applied to cylinder 2,

The shape factor is only calculated when the cylinder length is much larger than the cylinder radii (at least 10 times larger) and the length of the embedded cylinders is much larger than the distance between them. In this case, the shape factor is calculated as:

sf =

Where *r _{1}* is the cylinder 1 radius,

**References**

Holman, J.P., *Heat Transfer*, 7th ed.,
McGraw Hill Book Company, New York, 1990. p 74 - 83