water diameters of the tube are 25 mm and 35 mm. A thin metallic heater to the outer surface of the tube is being used to heat the water by tran 600 W/m of thermal energy to the water flowing in the tube. The Pyr heater are covered with a 10-mm thick layer of foam insulation. The the foam insulation is exposed to air at Tair = -5°C with hair = 12 W/m element must generate more than 600 W/m, because part of the heat lost to the air surrounding the foam insulation. Assume kp = 1.30 W/r and k = 0.026 W/m K for the foam insulation. a) Find the temperature of the heater element needed to transfer 600 energy to the water in the tube. b) Find the total rate at which the heater element must generate the

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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40°C water with hwater = 800 W/m² K is flowing in a Pyrex tube. The inner and outer
diameters of the tube are 25 mm and 35 mm. A thin metallic heater element bonded
to the outer surface of the tube is being used to heat the water by transferring
600 W/m of thermal energy to the water flowing in the tube. The Pyrex tube and
heater are covered with a 10-mm thick layer of foam insulation. The outer surface of
the foam insulation is exposed to air at T = -5°C with hair = 12 W/m².K. The heater
=
air
element must generate more than 600 W/m, because part of the heat being generated is
lost to the air surrounding the foam insulation. Assume kp = 1.30 W/m K for Pyrex
and k = 0.026 W/m K for the foam insulation.
a) Find the temperature of the heater element needed to transfer 600 W/m of thermal
energy to the water in the tube.
b) Find the total rate at which the heater element must generate thermal energy.
Water
Pyrex tube, kp = 1.30 W/m.K
= 40°C
water
hwater = 800 W/m².K
Heater element
Tair= -5°C
= 12 W/m².K
hair
Foam insulation, k = 0.026 W/m.K
Transcribed Image Text:40°C water with hwater = 800 W/m² K is flowing in a Pyrex tube. The inner and outer diameters of the tube are 25 mm and 35 mm. A thin metallic heater element bonded to the outer surface of the tube is being used to heat the water by transferring 600 W/m of thermal energy to the water flowing in the tube. The Pyrex tube and heater are covered with a 10-mm thick layer of foam insulation. The outer surface of the foam insulation is exposed to air at T = -5°C with hair = 12 W/m².K. The heater = air element must generate more than 600 W/m, because part of the heat being generated is lost to the air surrounding the foam insulation. Assume kp = 1.30 W/m K for Pyrex and k = 0.026 W/m K for the foam insulation. a) Find the temperature of the heater element needed to transfer 600 W/m of thermal energy to the water in the tube. b) Find the total rate at which the heater element must generate thermal energy. Water Pyrex tube, kp = 1.30 W/m.K = 40°C water hwater = 800 W/m².K Heater element Tair= -5°C = 12 W/m².K hair Foam insulation, k = 0.026 W/m.K
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