21 / 12 / 2022 - 16:20 – 16:40

Selim A. Mohammadein

Faculty Science, Tanta University,

New Treatment of Fluid Mechanics with Heat and Mass Transfer: Theory of Diffusion


Most problems in fluid mechanics formulated by nonlinear Partial differential equations. The analytical solutions of nonlinear Partial differential equations in fluid mechanics are considered a strong obstacle up to date. The linear velocity operator is formulated in terms of a generalized new physical parameter. In this talk, the nonlinear Navier-Stokes, Burger, and Korteweg-deVries equations are converted to the linear diffusion equation based on the proposed linear velocity operator concept for the first time. Mohammadein Parameter M* has a different physical meaning in fluid mechanics and heat mass transfer. The momentum and energy quantitative equations have been generalized in the form of one linear diffusion equation under different influences. Schro ̀ˆdinger equation in quantum mechanic's field is derived by our theory. Moreover, the present theory introduced a new point of views for a simplification of formulation and analytical solutions of many problems in the fields of physics, engineering, and biomedical sciences.