Heat Transfer Coefficient and decreasin area

In summary, when the surface area of heat flow is decreasing, the heat transfer coefficient remains constant and the heat flow decreases proportionally to the change in surface area.
  • #1
morrobay
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Homework Statement



The application of the Heat Transfer Coefficient in the case where the surface area of heat
flow is decreasing

Homework Equations


h = q/A * delta T

h = cal/sec/M2 ( C )
q= cal/sec
A= M2
delta T (C).

The Attempt at a Solution



If the surface area, A, is decreasing, then is the following correct ?
q = h * delta T * integral A initial - A final.
And in the case A final = 0
q = h * delta T * A initial
 
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  • #2
Yes, your solution is correct. When the surface area is decreasing, the heat transfer coefficient, h, remains constant and the heat flow, q, will be directly proportional to the change in surface area, A initial - A final. This can be represented by the integral of the surface area over the initial and final values. When A final is equal to 0, the equation simplifies to q = h * delta T * A initial. This means that the heat flow will decrease as the surface area decreases, since there is less area for heat to transfer through.
 

Related to Heat Transfer Coefficient and decreasin area

1. What is the heat transfer coefficient?

The heat transfer coefficient is a measure of the rate at which heat is transferred between two different materials or substances. It is typically measured in watts per square meter per kelvin (W/m²K) and is influenced by factors such as the properties of the materials, the surface area, and the temperature difference between the materials.

2. How does decreasing area affect the heat transfer coefficient?

Decreasing the area between two materials will increase the heat transfer coefficient. This is because with a smaller area, there is less distance for the heat to travel, resulting in a faster transfer of heat. This is why materials with a larger surface area, such as fins or heat exchangers, are often used to increase the heat transfer coefficient.

3. What factors can influence the heat transfer coefficient?

Some factors that can influence the heat transfer coefficient include the properties of the materials (such as thermal conductivity and surface roughness), the temperature difference between the materials, the presence of any insulating layers, and the flow rate of the materials.

4. How is the heat transfer coefficient calculated?

The heat transfer coefficient is typically calculated using the Fourier's law of heat conduction, which states that the rate of heat transfer is proportional to the temperature difference and the area of contact between the materials. Other methods, such as empirical correlations and experimental measurements, can also be used to determine the heat transfer coefficient.

5. Why is the heat transfer coefficient important in engineering and science?

The heat transfer coefficient is an important concept in engineering and science because it helps us understand how heat is transferred between different materials. This knowledge is essential in designing and optimizing systems and processes that involve heat transfer, such as heating and cooling systems, heat exchangers, and thermal insulation. It also plays a crucial role in fields such as thermodynamics, heat transfer, and fluid mechanics.

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