To warm up some milk for a baby, a mother pours milk into a thin-walled cylindrical container whose diameter is 6 cm. The height of the milk in the container is 7 cm. She then places the container into a large pan filled with hot water at 70°C. The milk is stirred constantly, so that its temperature is uniform at all times. If the heat transfer coefficient between the water and the container is 120 W/m2·K, determine how long it will take for the milk to warm up from 3°C to 38°C. Assume the entire surface area of the cylindrical container (including the top and bottom) is in thermal contact with the hot water. Take the properties of the milk to be the same as those of water. Can the milk in this case be treated as a lumped system? Why?
To warm up some milk for a baby, a mother pours milk into a thin-walled cylindrical container whose diameter is 6 cm. The height of the milk in the container is 7 cm. She then places the container into a large pan filled with hot water at 70°C. The milk is stirred constantly, so that its temperature is uniform at all times. If the heat transfer coefficient between the water and the container is 120 W/m2·K, determine how long it will take for the milk to warm up from 3°C to 38°C. Assume the entire surface area of the cylindrical container (including the top and bottom) is in thermal contact with the hot water. Take the properties of the milk to be the same as those of water. Can the milk in this case be treated as a lumped system? Why?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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To warm up some milk for a baby, a mother pours
milk into a thin-walled cylindrical container whose diameter
is 6 cm. The height of the milk in the container is
7 cm. She then places the container into a large pan filled
with hot water at 70°C. The milk is stirred constantly, so
that its temperature is uniform at all times. If the heat
transfer coefficient between the water and the container is
120 W/m2·K, determine how long it will take for the milk
to warm up from 3°C to 38°C. Assume the entire surface
area of the cylindrical container (including the top and
bottom) is in thermal contact with the hot water. Take the
properties of the milk to be the same as those of water.
Can the milk in this case be treated as a lumped system?
Why?
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