The conduction shape factor

1. Introduction
Heat transfer which is defined as the transmission of energy from one region to another as a result of temperature gradient takes place by the following three modes:
1.Conduction.
2.Convection.
3.Radiation.


1-1 CONDUCTION HEAT TRANSFER:-
When a temperature gradient exists in a body, experience has shown that there is anenergy transfer from the high-temperature region to the low-temperature region. We say that the energy is transferred by conduction and that the heat-transfer rate per unit area is proportional to the normal temperature gradient:
When the proportionality constant is inserted, this equation is called Fourier’s law of heat conduction
Where (qx) is the heat-transfer rate(W)
[?T/?x]is the temperature gradient in the direction of the heat flow.(oC/m)
The positive constant [ k] is called the thermal conductivity of the material(W/m.oC)
The minus sign is inserted so that the second principle of thermodynamics will be satisfied
since all properties are constant ,then the equation can be written as; the integration equation for x from x1 to x2 and T from T1 to T2