An approximate analytical solution to the Graetz problem with periodic inlet temperature

✍ Scribed by B. Fourcher; K. Mansouri

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 523 KB
• Volume: 18
• Category: Article
• ISSN: 0142-727X
• DOI: 10.1016/s0142-727x(96)00089-6

✦ Synopsis

Unsteady heat transfer for fully developed laminar flow with a parabolic velocity profile through a parallel-plate channel, subjected to sinusoidally varying inlet temperature is considered. A boundary condition which accounts for the effects of both external convection and wall thermal capacitance is considered. In this work, we develop a new approximate solution to this periodic Graetz problem, using a second-order Galerkin method. The present model neglect,,; axial heat conduction along the wall but takes into account the transverse temperature gradient in the wall. The effects of transverse heat conduction in the wall and fluid-to-solid heat capacitance ratio on the behavior of the periodic responses are investigated. Comparisons are made with a finite difference solution.