Storage material for storage heater: a storage heater or heat bank (Australia) captures heat over a period of time, and then release it, usually to an air stream, when required. Those for domestic heating store solar energy or energy from cheap off-peak electricity and release it slowly during the cold part of the day. What is a good material for the core (heat-storage medium) of a compact storage material capable of temperature up to 80?C and a defined storage capacity? Interpret "compact" to mean "of minimum volumes"

a. List the function, constrains, objectives and free variables

b. Derive a material index for selecting the material for the heat storage, the energy per unit volume required to heat a material from T1 to T2 is given by

In which C _p is the specific heat of the material.

c. If we, instead, aim to minimise the cost of core, instead of the volume, what are the function, constrains, objectives and free variables;

d. Derive the material index for selecting material for making a cheap heat storage core.

Q=Cp(T-T) FAN EO HEAT STORAGE HEATER MATERIAL A storage heater