In previous problem if A is maintained at 100^∘ C and C is maintained at 0^∘ C. The rate emitted

step 1 Hello students in this question we have given that if a is maintained at the temperature t equal

In previous problem if A is maintained at 100^∘ C and C is...

In previous problem if $A$ is maintained at $100^{\circ} \mathrm{C}$ and $C$ is maintained at $0^{\circ} \mathrm{C}$. The rate emitted at $C$ is : (assume the curve surfaces of rods are thermally insulated) (a) $\frac{50 A\left(K_{1}+K_{2}\right)}{l}$ (b) $\frac{100 A\left(K_{1}+K_{2}\right)}{l}$ (c) $\frac{A\left(K_{1}+K_{2}\right)}{l}$ (d) none of these

In previous problem if $A$ is maintained at $100^{\circ} \mathrm{C}$ and $C$ is maintained at $0^{\circ} \mathrm{C}$. The rate emitted at $C$ is : (assume the curve surfaces of rods are thermally insulated)
(a) $\frac{50 A\left(K_{1}+K_{2}\right)}{l}$
(b) $\frac{100 A\left(K_{1}+K_{2}\right)}{l}$
(c) $\frac{A\left(K_{1}+K_{2}\right)}{l}$
(d) none of these

Key Concepts

Heat Conduction

This is the process by which thermal energy is transferred through a material from regions of higher temperature to regions of lower temperature. The rate of heat conduction depends on the material's properties, such as its thermal conductivity, and the physical dimensions of the material, such as the cross-sectional area and length through which the heat is being transferred.

Fourier's Law

A fundamental principle in heat transfer, Fourier’s law states that the rate at which heat is conducted through a material is directly proportional to the cross-sectional area and the temperature gradient, and inversely proportional to the length. It is typically expressed as q = -kA(dT/dx), emphasizing how the thermal conductivity and the spatial rate of change of temperature govern the heat flux.

Thermal Resistance

This concept provides an analogy to electrical resistance, representing the opposition a material offers to the flow of heat. In systems involving multiple conductive elements, such as composite rods or layered materials, the total thermal resistance is the sum of the individual resistances, which can be used to calculate the overall rate of heat transfer by dividing the temperature difference by the total resistance.

Steady-State Heat Transfer

In steady-state conditions, the temperature distribution within the system remains constant over time, meaning that the amount of heat entering any part of the system is exactly balanced by the heat leaving. This assumption simplifies the analysis of heat conduction problems by ensuring that the heat flow is constant throughout the system.

Transcript

Please give Ace some feedback