The Graetz problem for a FENE-P fluid in a pipe

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

Paulo Oliveira (Author) Other; Coelho PM (Author) FEUP; Pinho FT (Author) FEUP

Conference proceedings International

Title: 10th Brazilian Congress of Thermal Sciences and Engineering - EMCIT 2004

Pages: 1-6

10th Brazilian Congress of Thermal Sciences and Engineering – EMCIT 2004

Rio de Janeiro, Brazil, Nov. 29-Dec. 03 2004

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Abstract (EN): The development of the thermal boundary layer in a pipe for a FENE-P fluid is investigated using the method of separation of variables. The ensuing Sturm-Liouville problem is then solved for the eignevalues by means of an adequate solver, while the ordinary differential equations for the eigenfunctions and their derivatives are calculated with a fourth order Runge-Kutta method. Solutions are presented for two different boundary conditions and viscous dissipation effects are included: imposed wall temperature and imposed wall heat flux. The physical properties are considered to be independent of temperature, the fluid dynamics is fully-developed and axial conduction is neglected. Results are presented for the Nusselt number and normalized temperature as a function of the Brinkman number, which quantifies the intensity of viscous dissipation, and of numbers accounting for elastic effects, such as the Weissenberg number and the extensibility parameter.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6