Reconsider Prob. 2–93. Using the relation obtained for the variation of temperature in the cylinder, plot the temperature as a function of the radius r in the range of r = 0 to r = r_o, and discuss the results. Use the EES (or other) software.

Data from problem 93

Consider a long solid cylinder of radius r_o = 4 cm and thermal conductivity k = 25 W/m · K. Heat is generated in the cylinder uniformly at a rate of ė_gen = 35 W/cm³. The side surface of the cylinder is maintained at a constant temperature of T_s = 80°C. The variation of temperature in the cylinder is given by

Based on this relation, determine

(a) If the heat conduction is steady or transient,

(b) If it is one-, two-, or three-dimensional,

(c) The value of heat flux on the side surface of the cylinder at r = r_o.

Transcribed Image Text:

₁-²₁ gen' o k T(r) - [1 - (-:-)²] + T