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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