The local asymptotic behaviour at the stick-slip singularity is determined for the Giesekus fluid in the presence of a solvent viscosity. In planar steady flow, the method of matched asymptotic expansions is used to show that it comprises a three region structure. Specifically, an outer or core region that links boundary layers at the rigid stick and free slip surfaces. In the outer region, the...

It is shown that several (single-mode) models (PTT, XPP) are basically special cases of the general network model. The XPP model [J. Rheol. 45 (2001) 823] is shown to give an identical response to a PTT model at high elongational rates, but the models differ in shear flow at high shear rates. The Giesekus term in the XPP model has practically no effect at any deformation rate except the generat...

We investigated the shear banding phenomena in non-isothermal simple-shear flow of a viscoelastic-fluid-based nanofluid (VFBN) subject to exothermic reactions. The polymeric (viscoelastic) behavior VFBN was modeled via Giesekus constitutive equation, with appropriate adjustments incorporate both and nanoparticle effects. Nahme-type laws were employed describe temperature dependence viscosities ...

Unsteady translation of a sphere in viscoelastic fluid is studied analytically. General, fully invertible relationships between an imposed time-dependent velocity and the resultant force are described terms Volterra series expansion. These results used to analyze particle motion fluids by Johnson-Segalman Giesekus models define general framework for analyzing weakly nonlinear microrheology meas...

The innuence of an elastic component of the rheological properties of the coating suspension on the coating ow in the blade coating process was investigated by numerical methods. The Giesekus model was used as the constitutive equation for the coating uid (coating colour). The system of time-dependent partial diierential equations was solved numerically by dis-cretising the solution with nite d...

The understanding of polymeric fluids flows is of essential importance for several industry sectors, including plastic and food processing industries. The rheological response of viscoelastic fluids is quite complex, including combination of viscous and elastic effects and highly non-linear viscous and elastic phenomena. In a previous work we presented a solver for internal viscoelastic fluid f...