A 20 cm long 304 stainless steel bar is initially at 18°C. Oneend of the bar is suddenly maintained at 100°C. Assumingthat your finger can tolerate a 60°C temperature, what is thelongest time you are willing to wait before you touch theother end? Be on the safe side and select a conservativemodel.h,Toil bathglassball

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Answered: A 20 cm long 304 stainless steel bar is…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.35P

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A square piece is initially at 10 degrees Celsius everywhere. Each side is 0.05 m long. Then the four sides are instantly heated up to 25 degrees Celsius, 50 degrees Celsius, 30 degrees Celsius, and 0 degrees Celsius. a. Find how long it takes for the temperature profile of this square to become steady if the material is copper. What is the final temperature at the center of the square? b. Find how long it takes for the temperature profile of this square to become steady if the material is air. What is the final temperature at the center of the square? c. Which material takes longer to reach steady state and why?
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P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of Te = -10°C and Th = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness ho 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b » ho, i.e. the heat conduction is one- dimensional. Density of ice and water are pice = 920 kg/m³ and pw = 1000 kg/m³. Ice and water have thermal conductivities of kice = 2.22 W K-1 m' -1 and kw 0.556 W K-1 m' -1.
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1. Consider a situation where two volumes of water, one hot, one cold, are both added to a foam cup. (a) Sketch a diagram for the cup and volumes of water, using a dashed line to separate the two volumes, and label all the components. (b) To your sketch, add a line and label it to indicate the heat flow in this system. For now, asssume the foam is a perfect insulator. (c) Write the mathematical relationship between the heat flows for the hot and cold water, hot and cold based on you diagram from parts (a) and (b). (d) Once the water is well-mixed, both volumes of water come to the same temperature Tf. Write the mathematical expressions for the temperature changes for each of the volumes of water, ATcold and AThot, assuming they started at Tcold and Thot for the cold and hot water respectively. (e) Assuming that the foam undergoes the same temperature change as the cold water (it's no longer a perfect insulator!), write a modified version of your equation from part (c) that relates the…
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