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

作者:

Highlights:

• A shear-thinning fluid is studied for a variant of Stokes’ first problem.

• An analytical solution for velocity is obtained for a perturbation approximation.

• Numerical scheme is validated using analytical solution.

• Full equations are solved numerically, and effect of material moduli is assessed.

• Results are consistent with expectation for a viscoplastic fluid approximation.

摘要

•A shear-thinning fluid is studied for a variant of Stokes’ first problem.•An analytical solution for velocity is obtained for a perturbation approximation.•Numerical scheme is validated using analytical solution.•Full equations are solved numerically, and effect of material moduli is assessed.•Results are consistent with expectation for a viscoplastic fluid approximation.

论文关键词:Shear-thinning fluid,Viscoplastic model,Unsteady flow,Semi-inverse approach

论文评审过程:Received 2 April 2021, Revised 21 June 2021, Accepted 31 July 2021, Available online 16 August 2021, Version of Record 16 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126571