An efficient numerical method for the solution of pure convective transport problems with split boundary conditions

✍ Scribed by E.H. Herron; D.U. von Rosenberg

• Publisher: Elsevier Science
• Year: 1966
• Tongue: English
• Weight: 439 KB
• Volume: 21
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(66)85026-1

✦ Synopsis

The equations describing the transient behavior of a counter-current heat exchanger have been solved numerically by using finite differences centered between the grid points in both space and time. The space index is shifted for one dependent variable so the equations take a form for solution by an available algorithm for a bi-tri diagonal system. With an increment ratio chosen to minimize truncation error, the solution agreed almost exactly with an analytic solution which applied until the input discontinuity leaves the exchanger, even for a finite discontinuity in temperature at the inlet. The method has also been used for three dependent variables; the resulting equations were solved by an algorithm for the tri-tri diagonal system developed by one of the authors.