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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.