Start-up shear flow of a shear-thinning fluid that approximates the response of viscoplastic fluids

Garimella, Sai Manikiran and Anand, Mohan and Rajagopal, Kumbakonam R. (2022) Start-up shear flow of a shear-thinning fluid that approximates the response of viscoplastic fluids. Applied Mathematics and Computation, 412. pp. 1-8. ISSN 0096-3003

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Abstract

In this paper we study a start-up shear flow of a recently proposed model of a shear-thinning fluid that mimics the response of a class of viscoplastic materials, namely the flow between parallel plates, one of which is fixed and the other is started impulsively. In simple shear flows while the generalized viscosity blows up, the shear stress is yet finite and thus the fluid is able to mimic the response of viscoplastic fluids. The analytical solution of the velocity profile is obtained using the semi-inverse approach for a perturbation approximation. The partial differential equation for the perturbation approximation is solved numerically, and compared with the analytical solution in order to validate the numerical scheme. The full equations are then solved numerically and the effect of the various material moduli are assessed by introducing appropriate dimensionless variables. © 2021 Elsevier Inc.

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IITH Creators:

IITH Creators	ORCiD
Anand, Mohan	https://orcid.org/0000-0001-7191-4991

Item Type:

Article

Additional Information:

SMG was supported by the Ministry of Education Fellowship for Research Scholars administered by IIT Hyderabad. We thank Dr. P. A. Lakshmi Narayana for helpful discussions. KRR thanks the Office of Naval Research for its support.

Uncontrolled Keywords:

Semi-inverse approach; Shear-thinning fluid; Unsteady flow; Viscoplastic model

Subjects:

Physics > Mechanical and aerospace
Chemical Engineering

Divisions:

Department of Chemical Engineering
Department of Mechanical & Aerospace Engineering

Depositing User:

. LibTrainee 2021

Date Deposited:

29 Jul 2022 09:34

Last Modified:

29 Jul 2022 09:34