1D dynamics of a second-grade viscous fluid in a constricted tube

• Autorzy: Fernando Carapau , Adélia Sequeira
• Języki publikacji: EN

Abstrakty

EN

Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and the corresponding equation for the wall shear stress.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 95-103

Daty

wydano

2008

Twórcy

autor

Fernando Carapau

• Dept. Matemática and CIMA/UE, Universidade de Évora, Rua Romão Ramalho 59, 7001 Évora, Portugal

autor

Adélia Sequeira

• Dept. Matemática and CEMAT/IST, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049 Lisboa, Portugal

Identyfikatory

DOI

10.4064/bc81-0-6