Article
| Title: | A new model to describe the response of a class of seemingly viscoplastic materials (English) |
| Author: | Garimella, Sai Manikiran |
| Author: | Anand, Mohan |
| Author: | Rajagopal, Kumbakonam R. |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 67 |
| Issue: | 2 |
| Year: | 2022 |
| Pages: | 153-165 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure is validated by comparison with the analytical solution. (English) |
| Keyword: | viscoplastic fluid |
| Keyword: | constitutive model |
| Keyword: | pipe flow |
| Keyword: | semi-inverse method |
| Keyword: | exact solution |
| MSC: | 34B60 |
| MSC: | 74C10 |
| MSC: | 76A10 |
| idZBL: | Zbl 07511499 |
| idMR: | MR4396682 |
| DOI: | 10.21136/AM.2021.0163-20 |
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| Date available: | 2022-03-25T08:21:42Z |
| Last updated: | 2022-09-06 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/149564 |
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| Reference: | [3] Blechta, J., Málek, J., Rajagopal, K. R.: On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion.SIAM J. Math. Anal. 52 (2020), 1232-1289. Zbl 1432.76075, MR 4076814, 10.1137/19M1244895 |
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| Reference: | [6] Herschel, W. H., Bulkley, R.: Konsistenzmessungen von Gummi-Benzollösungen.Kolloid-Z. 39 (1926), 291-300 German. 10.1007/BF01432034 |
| Reference: | [7] Huilgol, R. R.: Fluid Mechanics of Viscoplasticity.Springer, Berlin (2015). Zbl 1328.76001, 10.1007/978-3-662-45617-0 |
| Reference: | [8] Mitsoulis, E.: Flows of viscoplastic materials: Models and computations.Rheology Rev. 2007 (2007), 135-178. |
| Reference: | [9] Rajagopal, K. R.: Conspectus of concepts of elasticity.Math. Mech. Solids 16 (2011), 536-562. Zbl 1269.74014, MR 2857911, 10.1177/1081286510387856 |
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