Correction of the Diffusion Equation

Ismail Kholeif, Bedier El-Naggar
2004 Mechanics and Mechanical Engineering   unpublished
A test problem is investigated and indicate that the conventional foundation of Fick's law and the resulting diffusion equation admit mass transfer at relatively high velocity. This contradicts nature and two independent corrections are made: 1. The front beyond which matier cannot reach; advances with a characteristic speed dependent on the diffusing substance and the medium; 2. Relativistic type correction in which time dilation and length contraction is taken in consideration. In both cases
more » ... ion. In both cases solutions are obtained and discussed.