Finite depth Stokes' first problem of thixotropic fluid

doi:10.1007/s10483-016-2016-9

Abstract

Abstract:

This paper presents a study of the finite depth Stokes' first problem for a thixotropic layer. The yield behavior of the thixotropic fluid in this problem is investigated for the first time. The main physical features of this problem are discussed, including the flow field, the wall stress, and the depth of the yield region. It is shown that the yield region appears near the wall, and the yield surface moves from the wall into the flow region and moves back to the wall finally. In contrast to the solution of the Newtonian fluid, the velocity of the thixotropic layer generally does not increase with time monotonously during the start-up process. The classical solution of the Newtonian fluid can be recovered from our results in extreme cases.

Key words: thixotropy, yield, Stokes' first problem

2010 MSC Number:

76A05

Wenwen LIU, Jie PENG, Keqin ZHU. Finite depth Stokes' first problem of thixotropic fluid. Applied Mathematics and Mechanics (English Edition), 2016, 37(1): 59-74.

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