Transport equations in transfer coordinates

✍ Scribed by E. Ruckenstein

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 591 KB
• Volume: 26
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(71)86024-4

✦ Synopsis

Transport equations are written either in a system of coordinates composed of independent solutions of the equation (transfer coordiites) or in a mixture of the usual and transfer coordinates. The mixtures formed of the time and two transfer coordinates and the coordinate x and two transfer coordinates led to convective-diffusion equations for which in the case u = u(x, t) and u = -(W3x)y it is possible to obtain simple closed solutions. The system of coordinates formed of x and one transfer coordinate allows to solve the steady state convective-diffusion equation in cases in which u has a power-dependence on y. Various forms of the hydrodynamic equations of motion are also presented. Besides the problems for which a closed solution was obtained, the transfer system of coordinates may suggest in more complicated cases approximate methods.