Applications of Mathematics, Vol. 67, No. 2, pp. 153-165, 2022
A new model to describe the response of a class of seemingly viscoplastic materials
Sai Manikiran Garimella, Mohan Anand, Kumbakonam R. Rajagopal
Received July 13, 2020. Published online April 12, 2021.
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.
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Affiliations: Sai Manikiran Garimella, Mohan Anand (corresponding author), Department of Chemical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana 502285, India, e-mail: anandm@che.iith.ac.in; Kumbakonam R. Rajagopal, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA, e-mail: krajagopal@tamu.edu
