A Quasi-Analytical Solution for "Carreau-Yasuda-like" Shear-thinning Fluids Flowing in Slightly Tapered Pipes
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914411913936896 |
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| author | Santesarti, Gianluca Marino, Michele Viola, Francesco Verzicco, Roberto Vairo, Giuseppe |
| author_facet | Santesarti, Gianluca Marino, Michele Viola, Francesco Verzicco, Roberto Vairo, Giuseppe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Quasi-Analytical Solution for "Carreau-Yasuda-like" Shear-thinning Fluids Flowing in Slightly Tapered Pipes Santesarti, Gianluca Marino, Michele Viola, Francesco Verzicco, Roberto Vairo, Giuseppe Fluid Dynamics 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. |
| title | A Quasi-Analytical Solution for "Carreau-Yasuda-like" Shear-thinning Fluids Flowing in Slightly Tapered Pipes |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2502.14991 |