You are using a silver spoon to stir water that just startedboiling so that you can achieve a more even heat distribution inyour water. The spoon is partially immersed in boiling water and athermometer in your kitchen reads 27 °C. The handle of the spoonhas a cross section of 2mm × 1cm and extends 15 cm in the air fromthe free surface of the water. The heat transfer coefficient at theexposed surfaces of the spoon handle is 3 W/m2×K.
A) Determine the temperature difference across the exposedsurface of the spoon handle.
B) Can the lumped sum analysis be applied to the water as itcools? Provide justification to support your answer.
******Note:
Your answer must provide the following:
Assumptions: state all assumptions necessary to solve theproblem, explain their relevance and
validate them where necessary.
Schematic: draw a schematic showing the flow of energy in yoursystem
What are the modes of heat transfer that the spoon is exposedto?
Is this a time dependent or steady state problem? Why or whynot?
Is this a 1-D, 2-D or 3-D problem? Why or why not?
What is the thermal conductivity of the material? Can you assumeit constant and if so, for what
ranges?
The heat transfer coefficient is a function of many variables.Discuss the variables and whether the
heat transfer coefficient can be assumed to be constant
What boundary condition are you applying and why?
Concluding remarks: explain the meaning of the answersobtained
