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The global static stability of a Starling Resistor conveying non-Newtonianfluid is considered. The Starling Resistor consists of two rigid circular tubesand axisymmetric collapsible tube mounted between them. Upstream and downstreampressures are the boundary condition as well as external to the collapsibletube pressure. Quasi one-dimensional model has been proposed and a boundaryvalue problem in terms of nondimensional parameters obtained. Nonuniqueness ofthe boundary value problem is regarded as static instability. The analyticalcondition of instability which defines a surface in parameter space has beenstudied numerically. The influence of fluid rheology on stability ofcollapsible tube is established.

Static stability of collapsible tube conveying non-Newtonian fluid