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Approximations to the Strain History
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Acta additive functional theory Anal assumed axial Cartesian coordinate system computed cone-and-plate const constant constitutive equation coordinate system Couette flow Ct(t defined deformation gradient derivative determine differential elastic equations of motion experimental extensional extra stresses fading memory free surface given Hence Huilgol implies incompressible inertia inner cylinder isotropic material measure Mech metric tensor MWCSH Newtonian fluid non-Newtonian fluids normal stress difference obeys obtain Oldroyd order fluids particle path lines perturbation Phys physical components Pipkin plate Poiseuille flow polymer pressure problem Rati rectilinear flow reference configuration Rheol rheometer Rivlin rotating second-order fluid shear rate shear stress shear viscosity simple fluid simple shear solution steady shear strain history stress tensor superposed symmetry Tanner theorem tion tr A2 Trans vector velocity field viscoelastic viscoelastic fluids viscoelastic liquid viscometric flows Walters yields zero