A quasi-analytical solution for Carreau–Yasuda-type shear-thinning flows in slightly tapered pipes using a truncated power-law model
Abstract
This paper presents a quasi-analytical framework for "Carreau-Yasuda-like" fluids with a viscosity characterized by two constant plateau at low and high shear rates connected by a shear-thinning branch, and flowing in slightly tapered pipes. This setup is common in research and industrial applications since the last century, by assuming both a Newtonian or a non-Newtonian inelastic behaviour. Nevertheless, an analytical solution for "Carreau-Yasuda-like" fluids is still lacking. The expressions have been derived by using the order-of-magnitude analysis and neglecting the inertial terms in the momentum balance equations. The analytical solutions are employed to an extrusion bioprinting process as an application example, and verified through numerical procedures.
Fields of Study & Subjects
Vibration and Dynamic Analysis
Rheology and Fluid Dynamics Studies
Fluid Dynamics and Vibration Analysis
Publication details
- Journal / source
- Journal of Non-Newtonian Fluid Mechanics
- Publisher
- Elsevier BV
- Volume
- 349
- Pages
- 105569–105569
- Publication date
- 6 March 2026
- Language
- EN