The steady-state expression for heat conduction

through a plane wall is q (kA/L)T as given by

equation (17-4). For steady-state heat conduction through a hollow cylinder, an

expression similar to equation (17-4) is

where is the log-mean

area defined as

a. Show that as defined above

satisfies the

»

The steady-state expression for heat conduction

through a plane wall is q (kA/L)T as given by

equation (17-4). For steady-state heat conduction through a hollow cylinder, an

expression similar to equation (17-4) is

where is the log-mean

area defined as

a. Show that as defined above

satisfies the equations for steady-state radial heat transfer in a hollow

cylindrical element.

b. If the arithmetic mean area, , the logarithmic

mean, calculate the resulting percent error for values of ro/ri

of 1.5, 3, and 5.

»

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