Non-isothermal flow of a Johnson-Segalman liquid in a lubricated pipe with wall slip

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• 作者：I.E. Ireka^a ; T. Chinyoka^a ; ^b ; ^{tchinyok@vt.edu}
• 关键词：Non-isothermal flow ; Johnson&ndash ; Segalman fluid ; Shear banded flow ; Wall slip ; Arrhenius chemical kinetics ; Finite difference method
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2013
• 出版时间：February, 2013
• 年：2013
• 卷：192
• 期：Complete
• 页码：20-28
• 全文大小：662 K

文摘

This work focuses on the unsteady, axi-symmetric, non-isothermal flow of a viscoelastic Johnson-Segalman liquid in a lubricated pipe which allows for wall slip. In simple flows, the Johnson-Segalman constitutive model under certain conditions allows for a non-monotonic relationship between the shear stress and the rate of shear, hence, leading to shear banded flow phenomena. Wall slip has been conjectured to play a role or at least occur simultaneously with shear banding in certain cases. We investigate the relationships between wall slip and shear banding in non-isothermal pipe flow of a Johnson-Segalman fluid under axi-symmetric conditions and Arrhenius chemical kinetics. The wall slip in our investigation is postulated to arise, say, from wall lubrication; both constant and variable wall slip effects are here considered. The set of coupled non-linear time dependent partial differential equations for the fluid velocity, temperature and viscoelastic stresses are solved via semi-implicit finite difference techniques. We discuss the effect of wall slip on the flow profiles while varying certain flow and fluid material parameters.