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amplitude Appendix axis Brownian motion calculated Chapter Comparison of experimental concentration range concentration regime convective curve obtained different molecular weights dilute solution Doi and Edwards Dr(t equation II-5 equation IV-3 experimental oscillating shear experimental viscosity data Figure IV-1 g/Dr Hermans high shear rates hydrodynamic intrinsic viscosities Kiss and Porter macromolecules modified stress expression normalized frequency normalized in-phase normalized shear rate oscillating shear viscosity Oscillatory Shear Flow overestimates the viscosity particles PBLG molecules Plock Plots of normalized polymer quartic term rate viscosity n(0 right hand side rigid rod rotary diffusion coefficient semi-dilute solution shear and oscillatory shear rate viscosity shear thinning shear viscosity data side of equation simple shear spherical harmonics steady shear flow Table IV-3 test rod theoretical curve theoretical prediction tion tobacco mosaic virus unit vector versus c relationship versus normalized shear versus shear rate viscometer viscosity versus normalized viscosity versus shear Xanthan gum zero shear rate