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Stability and instability in adiabatic shearing motions of incompressible fluids
Author(s) -
Jiang Song
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670171203
Subject(s) - shearing (physics) , compressibility , mechanics , adiabatic process , instability , newtonian fluid , viscosity , classical mechanics , shear flow , physics , mathematics , thermodynamics
We investigate the effect of temperature dependence of the viscosity on the stability of the adiabatic shearing flows of an incompressible Newtonian viscous fluid between two parallel plates. When the viscosity strongly decreases with temperature, the shearing flow caused by a steady motion of the upper plate (steady shearing) becomes unstable, while the shearing flow caused by a time‐dependent body force is found to be stable.