33365

HWWI

COLLAGE

with

Sustainable and Renewable Energy Engineering Departed

Q2) A 30cm-thick, brick (k-0.9 W/m."C) plane wall has a 100 W heating coil with

insulation from one side, and is open to an environment of 45°C ambient temperature and

convective heat transfer coefficient of 20 W/m² C. See the attached figure. (4 marks)

Find the following:

1. Differential equation for steady state

heat

conduction

with boundary

conditions

2. Temperature profile equation

3. Temperature at inner side of wall (Ti)

4. Temperature at outer side of wall (T₂)

Insulation

Heating coil

Convection