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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
Category: math
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
Date available: 2022-03-25T08:21:42Z
Last updated: 2022-09-06
Stable URL:
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