Geodesic
A new model to describe the response of a class of seemingly viscoplastic materials
Applications of Mathematics, Tome 67 (2022) no. 2, pp. 153-165.

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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.
DOI : 10.21136/AM.2021.0163-20
Classification : 34B60, 74C10, 76A10
Keywords: viscoplastic fluid; constitutive model; pipe flow; semi-inverse method; exact solution 
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     title = {A new model to describe the response of a class  of seemingly viscoplastic materials},
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Garimella, Sai Manikiran; Anand, Mohan; Rajagopal, Kumbakonam R. A new model to describe the response of a class  of seemingly viscoplastic materials. Applications of Mathematics, Tome 67 (2022) no. 2, pp. 153-165. doi : 10.21136/AM.2021.0163-20. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0163-20/

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