Heat Transfer Fourier.
The rate of conductive heat transfer is directly proportional to the contact area material thermal conductivity temperature difference and inversely proportional to the thickness. He established the partial differential equation governing heat diffusion and solved it by using infinite series of trigonometric functions. As the prototypical parabolic partial differential.
Q x ka t x thermal resistance networks.
12 0 t t e akph t t x ak x t q ak b x x b x fin 29 or qfin tb t. The biot number representsthe ratio of heat transfer resistance in the interior of the systemlk to the resistance between the surroundings and the systemsurface 1h. The property of the fourier transform we take advantage of here is convolution. The expression in 26 can be written in terms of heat flux as dx dt q k.