Question

At what ∆T do the SunMaxx Solar TitanPower ALDH29-27A (flat-plate) and Duda Energy Duda Solar SC5820 (cylinder) solar collectors have the same efficiency? Assume the average irradiance is 1000 W/m2. Base your calculation on the quadratic efficiency equation for each collector. (LO 3)

Answer 1

At
`\mathbf{T^4 = 1.776 * 10^(10)}`, the SunMaxx Solar TitanPower ALDH29-27A (flat-plate) and Duda Energy Duda Solar SC5820 (cylinder) solar collectors will have the same efficiency.

Step-by-step explanation:

From the given information, the objective that is meant to be carried out is to determine at what ∆T does the SunMaxx Solar TitanPower ALDH29-27A (flat-plate) and Duda Energy Duda Solar SC5820 (cylinder) solar collectors have the same efficiency.

Provided that:

The average irradiance = 1000 W/m²

So using the calculation based on the quadratic efficiency equation for each collector.

Stefan Boltzmann constant
`\sigma` =
`5.63 *10^(-8)`

The expression for irradiance can be represented as Q/A

where;

Q = heat radiated and A = Are of the surface

Thus;

Irradiance (Q/A) =
`\sigma * T^4`

1000 =
`5.63* 10^8 * T^4`

`T^4 = (1000)/(5.63* 10^(-8))`

`\mathbf{T^4 = 1.776 * 10^(10)}`