A new model to describe the response of a class of seemingly viscoplastic materials
Sai Manikiran Garimella; Mohan Anand; Kumbakonam R. Rajagopal
Applications of Mathematics (2022)
- Volume: 67, Issue: 2, page 153-165
- ISSN: 0862-7940
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topGarimella, Sai Manikiran, Anand, Mohan, and Rajagopal, Kumbakonam R.. "A new model to describe the response of a class of seemingly viscoplastic materials." Applications of Mathematics 67.2 (2022): 153-165. <http://eudml.org/doc/298209>.
@article{Garimella2022,
abstract = {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.},
author = {Garimella, Sai Manikiran, Anand, Mohan, Rajagopal, Kumbakonam R.},
journal = {Applications of Mathematics},
keywords = {viscoplastic fluid; constitutive model; pipe flow; semi-inverse method; exact solution},
language = {eng},
number = {2},
pages = {153-165},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new model to describe the response of a class of seemingly viscoplastic materials},
url = {http://eudml.org/doc/298209},
volume = {67},
year = {2022},
}
TY - JOUR
AU - Garimella, Sai Manikiran
AU - Anand, Mohan
AU - Rajagopal, Kumbakonam R.
TI - A new model to describe the response of a class of seemingly viscoplastic materials
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 2
SP - 153
EP - 165
AB - 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.
LA - eng
KW - viscoplastic fluid; constitutive model; pipe flow; semi-inverse method; exact solution
UR - http://eudml.org/doc/298209
ER -
References
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