Transient Conduction in a Sphere with Spatial Effects: ConcepTest and Example Problem
Try to answer this ConcepTest and solve the example problem before using this module. Studies show that trying to answer the questions before studying material improves learning and retention. We suggest that you write down the reasons for your answers. By the end of this module, you should be able to answer these on your own. Answers will be given at the end of this module.
Example Problem 1
A silver sphere at an initial temperature of \(T_i\) = 400 K with a diameter of \(D\) = 50 mm is placed in a water bath at \(T_∞\) = 290 K. How long does it take the center of the sphere to reach a temperature of \(T\) = 310 K? The thermal conductivity of silver is \(k_s\) = 420 W/m-K. The heat transfer coefficient is \(h\) = 1500 W/m2-K.
