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On a Scenario of Transition to Turbulence for a Polymer Fluid Flow in a Circular Pipe
AbstractEquations describing nonstationary and stationary flows of an incompressible polymer fluid through a pipe are derived based on the...
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Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front
AbstractOne-dimensional flows of an incompressible viscoelastic polymer fluid that are qualitatively similar to the solutions of Burgers’ equation...
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Analytical solutions for rheological processes around bores and tunnels
Five analytical solutions are presented for processes of linear viscoelastic, homogeneous, and isotropic solids around freshly opened bores / tunnels...
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On a hybrid continuum-kinetic model for complex fluids
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of...
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Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method
AbstractStabilization of flows of an incompressible viscoelastic polymeric fluid in a channel with a rectangular cross section under the action of a...
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Study of the Relations on a Stationary Flat Strong Discontinuity for a Polymeric Liquid
AbstractA flat strong discontinuity in a polymer fluid is investigated in the rheological Vinogradov−Pokrovsky model. Relationships for a strong...
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GENERIC-compliant simulations of Brownian multi-particle systems: modeling stochastic lubrication
A stochastic Lagrangian model for simulating the dynamics and rheology of a Brownian multi-particle system interacting with a simple liquid medium is...
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Simulation of the Stationary Nonisothermal MHD Flows of Polymeric Fluids in Channels with Interior Heating Elements
AbstractBasing on the rheological mesoscopic Pokrovskii–Vinogradov model, the equations of nonrelativistic magneto-hydrodynamics, and the heat...
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Magnetohydrodynamic Vortex Motion of an Incompressible Polymeric Fluid
AbstractUnder consideration is some mathematical model describing magnetohydrodynamic motion of viscoelastic polymeric fluid in the cylindrical...
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Typical Applications of Fractional Differential Equations
Fractional differential equations can be used to describe the some complex physical and mechanics processes, memory property in the temporal domain,...
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Von Kármán Stationary Vortex Structures in MHD Flows of a Rotating Incompressible Polymer Fluid
Abstract —Steady-state solutions for the problem of magnetohydrodynamic motion of an incompressible polymer fluid over an infinite rotating disk are...
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On Linear Instability of the State of Rest of an Incompressible Polymer Fluid in the Presence of Strong Discontinuity
AbstractA linear problem of small perturbations of the flow of immiscible polymer fluids in a flat channel is formulated. For this problem, the...
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Modeling Clot Formation of Shear-Injured Platelets in Flow by a Dissipative Particle Dynamics Method
The regions with high non-physiological shear stresses (NPSS) are inevitable in blood-contacting medical devices (BCMDs) used for mechanically...
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Derivation of Linear and Nonlinear Acoustic Systems for an Incompressible Viscoelastic Polymer Fluid
Under discussion is the the so-called acoustic systems (in linear and nonlinear cases) for the system of equations describing the movement of...
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Abstraction and operator characterization of fractal ladder viscoelastic hyper-cell for ligaments and tendons
This study investigates the viscoelastic behaviour of soft bio-fibres in association with their fractal structures. A spring-dashpot fractal network...
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Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)
An overview of the smoothed dissipative particle dynamics (SDPD) method is presented in a format that tries to quickly answer questions that often...
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Characterization of Fluid Dynamics in Capillary Vessels: Applications for Drug Delivery
The delivery of a sufficient dose of pharmaceutical composite in microvessels as to safely achieve its desired therapeutic care poses severe risks....
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A review on the flow instability of nanofluids
Nanofluid flow occurs in extensive applications, and hence has received widespread attention. The transition of nanofluids from laminar to turbulent...
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To the Stability of a Plane Strong Discontinuity with a Polymer Fluid Flow through It with Allowance for Anisotropy
AbstractThe stability of the flow of an incompressible polymer fluid with a strong discontinuity when the fluid can flow through the discontinuity is...
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Dissipative Particle Dynamics: Foundation, Evolution, Implementation, and Applications
Dissipative particle dynamics (DPD) is a particle-based Lagrangian method for simulating dynamic and rheological properties of simple and complex...