Develop and explain each step thegeneral equation of heat transfer by conduction ina constructive way starting from an element general differential inthe cartesian coordinate system and then reduce to get:
1) Laplace's equation (in R3)
Δ? = 0
2) The Poisson equation (with constant thermal conductivity?)
Δ? + ? '''= 0
Δ is the Laplacian operator and ? ''' is a source term.
Note: start the analysis from a differential element with volume??????. Make a energy balance over this volume considering that itcan increase if temperature in time according to its thermalcapacity. Give more generality to the model assuming there is asource term ? ''' which can be a source that produces thermalenergy or consume it.
