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Digiron
2 months ago
7

A thin-walled tube with a diameter of 6 mm and length of 20 m is used to carry exhaust gas from a smoke stack to the laboratory

in a nearby building for analysis. The gas enters the tube at 200°C and with a mass flow rate of 0.001 kg/s. Autumn winds at a temperature of 15°C blow directly across the tube at a velocity of 5 m/s. Assume the thermophysical properties of the exhaust gas are those of air. (a) Estimate the average heat transfer coefficient for the exhaust gas flowing inside the tube. (b) Estimate the heat transfer coefficient for the air flowing across the outside of the tube. (c) Estimate the overall heat transfer coefficient U and the temperature of the exhaust gas when it reaches the laboratory.
Engineering
1 answer:
Kisachek [356]2 months ago
4 0
The mean temperature is calculated as Tmean = (Ti + T∞)/2, resulting in Tmean = 107.5⁰C. Furthermore, converting this to Kelvin gives Tmean = 107.5 + 273 = 380.5K. The corresponding properties of air at this average temperature are: v = 24.2689 × 10⁻⁶m²/s and α = 35.024 × 10⁻⁶m²/s, with viscosity = 221.6 × 10⁻⁷N.s/m² and thermal conductivity = 0.0323 W/m.K. The specific heat capacity is Cp = 1012 J/kg.K. The Prandtl number is found using Pr = v/α = 24.2689 × 10⁻⁶/35.024 × 10⁻⁶, equating to 0.693. To find the Reynolds number, we utilize the formula Pv = 4m/πD², and apply it: Re = (Pv * D). Substituting gives us Re = 4m/(πD), simplifying to Re = (4 x 0.003)/(π × 6 ×10⁻³ × 221.6 × 10⁻⁷) = 28728.3. Since Re is greater than 2000, the flow is classified as turbulent. For turbulent flow, we employ the Dittus - Doeltr correlation with n = 0.03, expressed as Nu = 0.023Re⁰⁸Pr⁰³, leading to the equation: (h₁D)/k = 0.023(28728.3)⁰⁸(0.693)⁰³. Resolving this gives us: (h₁ × 0.006)/0.0323 = 75.962. Thus, h₁ = (75.962 × 0.0323)/0.006, resulting in h₁ = 408.93 W/m².K.
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A) τ_max = 59.139 x 10^(6) Pa. B) θ = 0.0228 rad.
6 0
2 months ago
An AM radio transmitter operating at 3.9 MHz is modulated by frequencies up to 4 kHz. What are the maximum upper and lower side
Mrrafil [318]

Answer:

Total bandwidth: 8 kHz

Explanation:

Data provided:

Transmitter frequency: 3.9 MHz

Modulation up to: 4 kHz

Solution:

For the upper side frequencies:

Upper side frequencies = 3.9 × 10^{6} + 4 × 10³

Upper side frequencies = 3.904 MHz

For the lower side frequencies:

Lower side frequencies = 3.9 × 10^{6} - 4 × 10³

Lower side frequencies = 3.896 MHz

Consequently, the total bandwidth is computed as:

Total bandwidth = upper side frequencies - lower side frequencies

Total bandwidth = 8 kHz

6 0
2 months ago
The molecular weight of a 10g rubber band
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The response to this query is 1 * 10 g/mole = 10.
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2 months ago
A 227 pound compressor is supported by four legs that contact the floor of a machine shop. At the bottom of each leg there is a
choli [298]

Answer:

1.312 in

Explanation:

The details provided in the question are:

The weight of the compressor, W is 227 pounds.

It has 4 legs.

The maximum permissible pressure is 42 psi.

Let F represent the force exerted by each leg.

Thus,

W = 4F,

or

227 pounds = 4F,

implying that:

F = 56.75 pounds.

Furthermore,

Force = Pressure × Area,

therefore:

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r² = 0.4301,

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6 0
3 months ago
Six years ago, an 80-kW diesel electric set cost $160,000. The cost index for this class of equipment six years ago was 187 and
grin007 [323]

Answer:

total expense for the new boiler = $229706.825

total expense for new boiler = $127512

Explanation:

provided information

initial power p1 = 80 kW

price C = $160000

cost index CI 1 = 187

cost index CI 2= 194

capacity factor f = 0.6

subsequent power p2 = 120 kW

present cost = $18000

to determine

total expense and cost for 40 kW

solution

we evaluate CN cost for the new boiler and CO cost for the existing boiler

where x represents the capacity of the new boiler

first we compute the current cost of the old boiler which is

current cost CO = C × \frac{CI 1 }{CI 2 }.............1

substituting the value here

current cost = 160000 × \frac{194 }{187 }

updated current cost = $165989.304

and

employing power sizing strategy for 124 kW

CN/CO = (\frac{p2}{p1} )^{f}...............2

insert value and calculate CN

CN/CO = (\frac{p2}{p1} )^{f}  

CN / 165989.304 = (\frac{120}{80} )^{0.6}  

CN = 211706.825

therefore the new expense = $211706.825

hence

total expense for the new boiler amounts to

total expense = new expense + current cost

total exp = 211706.825 + 18000

boiler expense total = $229706.825

and

concerning a 40 kW unit, the calculated new cost will be

applying equation 2

CN/CO = (\frac{p2}{p1} )^{f}

CN / 165989.304 = (\frac{40}{80} )^{0.6}  

CN = 109512

thus the new cost is $109512

therefore

total expense for the new boiler is

total exp = new cost + current cost

total expense = 109512 + 18000

total cost for the new boiler = $127512

7 0
2 months ago
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