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PotatoMerchant
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Homework Statement
Homework Equations
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Rate of Heat Transfer for a Two-Layer System
- Thread starter PotatoMerchant
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- Heat Heat transfer Rate
In summary, the equation provided for the single layer is incorrect and should instead be 2πrLq = Q = 2πkL(ΔT/Δlnr) where Q is the total heat flow and q is the heat flow per unit area. This equation can be applied to each concentric layer and is analogous to having two resistors in series. The goal is to solve for the current flow given the overall voltage drop of 155 C.
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- #2
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It doesn't look like this has been done correctly. To begin with, the starting equation is incorrect.
For a single layer, it should read:
[tex]2πrLq =Q=2πkL\frac{ΔT}{Δlnr}[/tex]
where Q is the total heat flow (watts) and q is the heat flow per unit area. This equation applies to each of the concentric layers. The problem is analogous to having two resistors in series, where ΔT is like the voltage drop across each layer and Q is the current flow through the resistors. You have to solve for the current flow, given the overall voltage drop across both layers (155 C).
For a single layer, it should read:
[tex]2πrLq =Q=2πkL\frac{ΔT}{Δlnr}[/tex]
where Q is the total heat flow (watts) and q is the heat flow per unit area. This equation applies to each of the concentric layers. The problem is analogous to having two resistors in series, where ΔT is like the voltage drop across each layer and Q is the current flow through the resistors. You have to solve for the current flow, given the overall voltage drop across both layers (155 C).
FAQ: Rate of Heat Transfer for a Two-Layer System
What is the rate of heat transfer?
The rate of heat transfer is the amount of heat that is transferred per unit time. It is measured in units of watts (W) or joules per second (J/s).
How is the rate of heat transfer calculated?
The rate of heat transfer can be calculated using the formula Q/t, where Q is the amount of heat transferred and t is the time taken for the transfer to occur.
What factors affect the rate of heat transfer?
The rate of heat transfer is affected by several factors including the temperature difference between two objects, the surface area of the objects, and the thermal conductivity of the materials involved.
How does conduction affect the rate of heat transfer?
Conduction is the transfer of heat through a material by direct contact. The rate of heat transfer through conduction is directly proportional to the temperature difference between two objects and the thermal conductivity of the materials.
How can the rate of heat transfer be increased?
The rate of heat transfer can be increased by increasing the temperature difference between two objects, increasing the surface area of the objects, and using materials with higher thermal conductivity. Additionally, using methods such as convection or radiation can also increase the rate of heat transfer.