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A new model to describe the response of a class of seemingly viscoplastic materials

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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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Authors and Affiliations

  1. Department of Chemical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, 502285, India

    Sai Manikiran Garimella & Mohan Anand

  2. Department of Mechanical Engineering, Texas A&M University, College Station, TX, 77843, USA

    Kumbakonam R. Rajagopal

Authors
  1. Sai Manikiran Garimella
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  2. Mohan Anand
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  3. Kumbakonam R. Rajagopal
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Corresponding author

Correspondence to Mohan Anand.

Additional information

S. M. Garimella was supported by the MHRD Fellowship for Research Scholars administered by IIT Hyderabad.

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Garimella, S.M., Anand, M. & Rajagopal, K.R. A new model to describe the response of a class of seemingly viscoplastic materials. Appl Math 67, 153–165 (2022). https://doi.org/10.21136/AM.2021.0163-20

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  • DOI: https://doi.org/10.21136/AM.2021.0163-20

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