Correction of the diffusion equation

• Autorzy: Kholeif I. A. , El-Naggar B. B.
• Języki publikacji: EN

Abstrakty

EN

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 solutions are obtained and discussed.

Słowa kluczowe

EN

diffusion equation; diffusion front; relativistic correction; Stokes law

PL

równanie dyfuzji; front dyfuzji; poprawka relatywistyczna; prawo Stokea

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2004
• Tom: Vol. 7, nr 2
• Strony: 99--107
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kholeif I. A.

autor

El-Naggar B. B.

• Department of Engineering, Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt

Bibliografia

• [1] Arrora, CP: Heat and mass transfer, Khanna Publishers, Delhi, (1989), pp. 329.
• [2] Arrora, CP: Heat and mass transfer, Khanna Publishers, Delhi, (1989), pp. 108.
• [3] Zayed, Al: Function and generalized function transformations, CRC, NY, (1996), pp. 115, 221.
• [4] Weinstein, N: Handbook of physics, Mir Publishers, Moscow, (1975), pp. 643.
• [5] Weinstein, N: Handbook of physics, Mir Publishers, Moscow, (1975), pp. 465.
• [6] Arrora, CP: Heat and mass transfer, Khanna publishers, Delhi, (1989), pp. 186.