Motions with Constant Stretch History
The class of motions considered in the present paper has recently been introduced by Coleman* , who noticed that it includes almost all steady flows that have ever been studied in connection with non-classical fluids. Examples are: Simple shearing flow, laminar flow through pipes (circular or not), Couette flow, helical flow, torsional flow, and circular flow between coaxial cones or concentric spheres. All these examples are actually special cases of what is called here steady curvilineal flow (see Section 3). The curvilineal flows belong to a class of motions which have been called viscometric flows (see Section 3 of the present paper or Section 3 of ).
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