Question

Consider one-dimensional conduction in a plane composite wall. the outer surfaces are exposed to a fluid at and a convection heat transfer coefficient of h = 1000 w / m2-k. the middle wall b has a thermal conductivity of kb = 15.3 w/m-k. and experiences uniform heat generation qb = 4 x 106 w / m3.

Answer 1

The rate of heat conduction through the composite wall can be calculated using Fourier's Law of heat conduction.

The rate of heat conduction through the composite wall is 312.31 W.

Step-by-step explanation:

The rate of heat conduction through the composite wall can be calculated using Fourier's Law of heat conduction, which states that the rate of heat transfer is directly proportional to the surface area, temperature difference, and inversely proportional to the thickness and thermal conductivity of the material.

Using the given values, we can calculate the rate of heat conduction as follows:

• Surface area (A) = 1 m²
• Thickness (d) = 13.0 cm = 0.13 m
• Temperature difference (ΔT) = 18.0 °C - 5.00 °C = 13.0 °C = 13.0 K
• Thermal conductivity (k) = 2 * 0.040 W/m-K (assuming glass wool thermal conductivity as 0.040 W/m-K)

Plugging these values into the formula:

Rate of heat conduction (Q/t) = k * A * ΔT / d

= (2 * 0.040 W/m-K) * (1 m²) * (13.0 K) / (0.13 m)

= 312.31 W

Therefore, the rate of heat conduction through the composite wall is 312.31 W.