In: Mechanical Engineering
The inner and outer surface temperatures of a glass window 5 mm thick are 15 and 5°C. The thermal resist- ance of the glass window due to conduction is Rt,cond = 1.19 × 10−3 K/W. What is the rate of heat loss through a 1 m × 3 m window? What is the thermal conductivity of the glass?
Assumption: 1. One dimensional heat flow i.e heat is flowing only in a direction perpendicular to the cross sectional area.
2. Temperatures on both surfaces of the walls are uniform.
The heat loss due to conduction through a wall is given by Fourier's law of heat conduction.
It is given as,
Where,
K = thermal conductivity
A = Area of cross section through which heat is being conducted.
= Temperature difference between two surfaces
L = Thickness of the wall
Using electrical analogy, we can rewrite Fourier's law as follows,
Rth = Thermal resistance analogous to electrical resistance and analogous to potential difference.
It is given that,
Finding heat loss,