An exact analytical solution for a Poiseuille flow of a Giesekus fluid in an annulus is obtained, taking into account the effects of the non-linearity of the constitutive equation. The fluid velocity is given in terms of Legendre elliptic integrals and Jacobi elliptic functions. The fluid behaviour is described using the Deborah number along the mobility factor and the radius ratio, while the tangential and the normal stresses are also evaluated. The shear-rate, the velocity and the stress tensor components as function of the involved parameters are graphically represented and analysed in detail.

Daprà , I., Scarpi, G. (2018). Analytical solution for axial flow of a Giesekus fluid in concentric annuli. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 251, 10-16 [10.1016/j.jnnfm.2017.11.003].

Analytical solution for axial flow of a Giesekus fluid in concentric annuli

Daprà , Irene
;
2018

Abstract

An exact analytical solution for a Poiseuille flow of a Giesekus fluid in an annulus is obtained, taking into account the effects of the non-linearity of the constitutive equation. The fluid velocity is given in terms of Legendre elliptic integrals and Jacobi elliptic functions. The fluid behaviour is described using the Deborah number along the mobility factor and the radius ratio, while the tangential and the normal stresses are also evaluated. The shear-rate, the velocity and the stress tensor components as function of the involved parameters are graphically represented and analysed in detail.
2018
Daprà , I., Scarpi, G. (2018). Analytical solution for axial flow of a Giesekus fluid in concentric annuli. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 251, 10-16 [10.1016/j.jnnfm.2017.11.003].
Daprà , Irene; Scarpi, Giambattista
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/614873
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact