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Now showing items 1-10 of 19

#### Padé Approximant for Normal Stress Differences in Large-Amplitude Oscillatory Shear Flow

(2017-11)

Analytical solutions for the normal stress differences in large-amplitude oscillatory shear flow (LAOS), for continuum or molecular models, normally take the form of the first few terms of a series expansion in the shear ...

#### Order in Oscillatory Shear Flow

(2018-12)

We examine the second order orientation tensor for the simplest molecular model relevant to a polymeric liquid in large-amplitude oscillatory shear flow (LAOS), the rigid dumbbell suspension. For this we use an approximate ...

#### Orientation in Large-Amplitude Oscillatory Shear

(2014-09-30)

We examine the simplest relevant molecular model for large-amplitude oscillatory shear flow of a polymeric liquid: the dilute suspension of rigid dumbbells in a Newtonian solvent. We find explicit analytical expressions ...

#### Power Series for Shear Stress of Polymeric Liquid in Large-Amplitude Oscillatory Shear Flow

(2018-04)

xact solutions for shear stress in a polymeric liquid subjected to large-amplitude oscillatory shear flow (LAOS) contain many Bessel functions. For the simplest of these, for instance, the corotational Maxwell fluid, in ...

#### Exact Analytical Solution for Large-Amplitude Oscillatory Shear Flow

(2015-03-16)

When polymeric liquids undergo large-amplitude shearing oscillations, the shear stress responds as a Fourier series, the higher harmonics of which are caused by fluid nonlinearity. Previous work on large-amplitude oscillatory ...

#### Series Expansion for Shear Stress in Large-Amplitude Oscillatory Shear Flow From Oldroyd 8-Constant Framework

(2018-06)

When polymeric liquids undergo large-amplitude oscillatory shear flow (LAOS), the shear stress responds as a Fourier series, the higher harmonics of which are caused by the fluid nonlinearity, and the first harmonic of ...

#### Normal Stress Differences in Large-Amplitude Oscillatory Shear Flow for Dilute Rigid Dumbbell Suspensions

(2014-08-25)

We examine the simplest relevant molecular model for large-amplitude oscillatory shear (LAOS) flow of a polymeric liquid: the suspension of rigid dumbbells in a Newtonian solvent. We find explicit analytical expressions ...

#### Ethermodynamic Instability of Polymeric Liquids in Large-Amplitude Oscillatory Shear Flow from Corotational Maxwell Fluid

(2018-04)

When polymeric liquids are subjected to oscillatory shear flow, if the amplitude of the shear rate is high enough, the shear stress response will become aperiodic. This has been variously attributed to fracture, common ...

#### Simple Accurate Expressions for Shear Stress in Large-Amplitude Oscillatory Shear Flow

(2017-05)

Analytical solutions for shear stress in large-amplitude oscillatory shear flow (LAOS), for continuum or molecular models, often take the form of the first few terms of a power series in the shear rate amplitude. For ...

#### Macromolecular Tumbling and Wobbling in Large-Amplitude Oscillatory Shear Flow

(2018-11)

For a suspension of rigid dumbbells, in any simple shear flow, we recently solved for the diffusion equation for the orientation distribution function by a power series expansion in the shear rate magnitude. In this paper, ...