Stability analysis of shear-thinning flow in narrow gap Taylor–Couette axial flow

Document Type : Research Article

Authors

هییت علمی

Abstract

In this study, by considering the fixed outer cylinder and the rotational and axial velocity of the inner cylinder in the Taylor-Couette flow, the analysis of shear-thinning non-Newtonian fluid Carreu-Bird model motion is used to estimate flow parameters such as velocity and pressure distribution and predict dynamic fluid behavior and stability. The solution of the governing equations including continuity and momentum equations in the cylindrical system is used to obtain the velocity and pressure field. The base flow velocity field is obtained by solving the governing equations by assuming a narrow gap and applying the boundary conditions of the problem and the deviational flow velocity field after simplifying the nonlinear partial differential equation system using the Galerkin projection method with four unknowns. By solving the system of nonlinear differential equations in unstable conditions as well as determining the status of the root of the system’s characteristic equation, the dynamic behavior of the flow and its stability under different conditions of the Taylor number control parameter, non-Newtonian fluid index, and Reynolds axial are predicted.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 3 (Special Issue)
June 2021
Pages 1745-1766

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