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Kryger
3 months ago
7

A thin electrical heating element provides a uniform heat flux qo" to the outer surface of a duct through which air flows. The d

uct wall has a thickness of 10 mm and a thermal conductivity of 20 W/m·K. (a) At a particular location, the air temperature is 30°C and the convection heat transfer coefficient between the air and inner surface of the duct is 100 W/m2·K. What heat flux is required to maintain the inner surface of the duct at Ti = 58°C? (b) For the conditions of part (a), what is the temperature To of the duct surface next to the heater?
Physics
1 answer:
Ostrovityanka [3.2K]3 months ago
5 0

Answer:

a) q = 2800 W/m²

b) To = 59.4°C

Explanation:

Given the following parameters:

L = 10 mm

K = 20 W/m·K

T = 30°C

h = 100 W/m²K

Ti = 58°C

a)

Calculating heat flux q:

q = h ΔT

q = 100 x (58 - 30)

q = 2800 W/m²

b)

According to Fourier's law, heat transfer is defined as:

Q = K A ΔT/L

Assuming the outer temperature is To:

To = Ti + qL/K

Substituting the given values:

To = Ti + qL/K

To= 58 + 2800 \times \dfrac{ 0.01}{20}

To = 59.4°C

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Answer:

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Explanation:

In this case, we apply the Fourier Law of heat conduction expressed by the following equation:

Q = -kA \frac{\Delta T}{\Delta x}   (1)

Where k = thermal conductivity = 0.2 W/ mK

A= 1m^2 denotes the cross-sectional area

Q= 3KW signifies the heat transfer rate

\Delta T is the temperature difference we need to determine

represents the thickness of the material\Delta x=2.5 cm =0.025 m

To isolate \Delta T from equation (1), we obtain:

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Initially, we convert 3KW to W, resulting in:

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With all variables accounted for, we can substitute and calculate:

\Delta T = \frac{3000 W *0.025 m}{1 m^2 (0.2 \frac{W}{mK})}= 375 K

Thus, the temperature difference across the material will be \Delta T = 375 K

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2 months ago
A car with an initial velocity of 16.0 meters per second east slows uniformly to 6.0 meters per second east in 4.0 seconds. What
serg [3582]
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3 months ago
Two very small 8.55-g spheres, 15.0 cm apart from center to center, are charged by adding equal numbers of electrons to each of
ValentinkaMS [3465]

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1.43 x 10¹⁷.

They will move away from each other.

Explanation:

The force acting on each charged sphere is determined as F = mass x acceleration

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2 months ago
Read 2 more answers
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