I'm trying to determine the heating cost savings between two different u-values. Does this look correct, it's a crude approximation based on a fixed temperature difference (the difference is higher than the average would be in reality) but does it hold up, is the maths correct?
Work out the difference between the two window U-values (1.7 – 1.4 = 0.3Wm2K)
Multiply that number by the window area (0.3 x (2 x 2) = 1.2)
Work out temperature difference inside and outside(18DegC – 2DegC = 16)
Multiply the temperature difference by the U-value area (1.2 x 16 = 19.2)
Divide that number by 1000 to convert it into kilowatts per hour (19.2 / 1000 = 0.0192kWh)
Multiply that by hours in a day that the heating is on (10) and the number of days in a year that the heating (180) is on to get your annual kWh (0.0192 x 10 x 180 = 34.56kWh)
Multiply that figure by my current cost of a kWh of gas (34.56 x 12.3p =425.08 per year)
So the annual cost saving of moving to a 1.4 u-value sliding door would be £4.25 per year. But the 1.4 u-value sliding door costs several thousand pounds more, so it isn't worth it.