A thermodynamic framework for rate-type fluid models
From MaRDI portal
Publication:1969548
DOI10.1016/S0377-0257(99)00023-3zbMath0960.76005MaRDI QIDQ1969548
Kumbakonam R. Rajagopal, Arun R. Srinivasa
Publication date: 26 April 2000
Published in: Journal of Non-Newtonian Fluid Mechanics (Search for Journal in Brave)
viscoelastic fluidsupper convected Maxwell modelstored energy functionOldroyd-B modelrate of dissipation functionevolving natural configurationneo-Hookean stored energy function
Related Items (only showing first 100 items - show all)
On the role of geometry in statistical mechanics and thermodynamics. II. Thermodynamic perspective ⋮ FLOW OF A FOURTH GRADE FLUID ⋮ On planar flows of viscoelastic fluids of Giesekus type ⋮ Thermodynamically consistent, maximum dissipation, time-dependent models for non-equilibrium behavior ⋮ Implication of fluid rheology on the Cattaneo–Christov heat flux theory for fourth grade nanofluid over a riga device with thermal radiation ⋮ Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder ⋮ A damage initiation criterion for a class of viscoelastic solids ⋮ Perturbative expansions of the conformation tensor in viscoelastic flows ⋮ Comparison of a natural configuration approach and a structural parameter approach to model the Payne effect ⋮ Optimal time-decay estimates for an Oldroyd-B model with zero viscosity ⋮ Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature ⋮ Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion ⋮ Mathematical Models for Blood Coagulation ⋮ Particle-based approach to the Eulerian distortion field and its dynamics ⋮ Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature ⋮ Global existence and decay estimate of solution to rate type viscoelastic fluids ⋮ Wave dynamics of a viscoelastic liquid ⋮ A thermodynamic framework for the additive manufacturing of crystallizing polymers. I: A theory that accounts for phase change, shrinkage, warpage and residual stress ⋮ On an elastic strain-limiting special Cosserat rod model ⋮ Special Cosserat rods with rate-dependent evolving natural configurations ⋮ New exact solutions corresponding to the first problem of Stokes for Oldroyd-B fluids ⋮ Time-Dependent Outflow Boundary Conditions for Blood Flow in the Arterial System ⋮ On the affordances of the MaxEP principle ⋮ Flows of a generalized second grade fluid in a cylinder due to a velocity shock ⋮ A viscoelastic fluid model for describing the mechanics of a coarse ligated plasma clot ⋮ Methods of Blood Flow Modelling ⋮ UNSTEADY TWO-LAYERED BLOOD FLOW THROUGH A -SHAPED STENOSED ARTERY USING THE GENERALIZED OLDROYD-B FLUID MODEL ⋮ Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system ⋮ Stress-Modulated Growth ⋮ A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation ⋮ An analysis of peristaltic transport for flow of a Jeffrey fluid ⋮ Pulsatile flow of a chemically-reacting nonlinear fluid ⋮ Numerical simulations of shear-dependent viscoelastic flows with a combined finite element-finite volume method ⋮ Modelling of Bingham-like fluids with deformable core ⋮ Exact Solutions for the Flow of Fractional Maxwell Fluid in Pipe-Like Domains ⋮ Boundary conditions in mixture theory and in CFD applications of higher-order models ⋮ Exact solutions to rotating flows of a Burgers' fluid ⋮ A Model Incorporating Some of the Mechanical and Biochemical Factors Underlying Clot Formation and Dissolution in Flowing Blood ⋮ Natural convection flow of a generalized second-grade fluid between two vertical walls ⋮ Exact solution for rotating flows of a generalized Burgers' fluid in a porous space ⋮ On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion ⋮ Diffusion of a fluid through an anisotropically chemically reacting thermoelastic body within the context of mixture theory ⋮ Strong Steady Solutions for a Generalized Oldroyd-B Model with Shear-Dependent Viscosity in a Bounded Domain ⋮ Conservation laws and constitutive relations for density-gradient-dependent viscous fluids ⋮ PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion ⋮ Micro–macro simulations of a shear-thinning viscoelastic kinetic model: applications to blood flow ⋮ On the Modeling of the Viscoelastic Response of Embryonic Tissues ⋮ CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ Geometric decomposition of the conformation tensor in viscoelastic turbulence ⋮ Prediction of nonlinear viscoelastic behaviour of simulative soil for deep-sea sediment using a thermodynamically compatible model ⋮ On a class of compressible viscoelastic rate-type fluids with stress-diffusion ⋮ On The Role of the Eshelby Energy-Momentum Tensor in Materials with Multiple Natural Configurations ⋮ On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response ⋮ Flow of a generalized second grade non-Newtonian fluid with variable viscosity ⋮ ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK–BOUSSINESQ TYPE APPROXIMATIONS ⋮ Non-isothermal viscoelastic flows with conservation laws and relaxation ⋮ On exponential stability of gravity driven viscoelastic flows ⋮ Two boundary value problems involving an inhomogeneous viscoelastic solid ⋮ A numerical study of blood flow using mixture theory ⋮ Unsteady flows of a generalized fractional Burgers' fluid between two side walls perpendicular to a plate ⋮ A class of models to predict the normal force and torque under torsional loading of a viscoelastic liquid ⋮ A new generalized Oldroyd-B model for blood flow in complex geometries ⋮ Some remarks about the use of Gordon-Schowalter time derivative in rate-type viscoelastic constitutive equations ⋮ Constitutive modeling of the mechanics associated with triple shape memory polymers ⋮ Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion ⋮ A thermodynamic framework for the modeling of crystallizable triple shape memory polymers ⋮ Development of a finite strain two-network model for shape memory polymers using QR decomposition ⋮ Action of body forces in tumor growth ⋮ Numerical simulations of a reduced model for blood coagulation ⋮ Boundary conditions at fluid-permeable interfaces in porous media: a variational approach ⋮ Flows with slip of Oldroyd-B fluids over a moving plate ⋮ Decay of a potential vortex in a generalized Oldroyd-B fluid ⋮ On the motion of a second-grade fluid due to longitudinal and torsional oscillations of a cylinder: a numerical study ⋮ Exact solutions of accelerated flows for a Burgers' fluid. I: The case \(\gamma <\lambda ^2/4\) ⋮ On implicit constitutive theories. ⋮ On a parabolic free boundary problem arising from a Bingham-like flow model with a visco-elastic core ⋮ Growth and remodeling in soft tissues subjected to torsion ⋮ The modified Jeffreys model approach for elasto-viscoplastic thixotropic substances ⋮ Incompressible rate-type fluids with pressure and shear-rate dependent material moduli ⋮ Traveling waves on a falling weakly viscoelastic fluid film ⋮ Isothermal tube flow of non-linear viscoelastic fluids. I: Constitutive instabilities and the longitudinal field ⋮ Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance ⋮ Mathematical modeling of flows through inelastic porous solids ⋮ Navier's slip problem for motion of inhomogeneous incompressible fluid-like bodies ⋮ Stokes' first problem for some non-Newtonian fluids: results and mistakes ⋮ Exact solution for motion of an Oldroyd-B fluid over an infinite flat plate that applies an oscillating shear stress to the fluid ⋮ The effect of the slip condition on flows of an Oldroyd 6-constant fluid ⋮ Starting solutions for oscillating motions of Oldroyd-B fluids in cylindrical domains ⋮ On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress ⋮ A non-homogeneous constitutive model for human blood. III: Oscillatory flow ⋮ Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate ⋮ Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole ⋮ On thermodynamics, objectivity and the modeling of non-isothermal viscoelastic fluid behavior ⋮ Energetic balance for the Rayleigh-Stokes problem of an Oldroyd-B fluid ⋮ Modeling the mechanical behavior of crystallizable shape memory polymers: incorporating temperature-dependent viscoelasticity ⋮ Flow of blood in micro-channels: recent results based on mixture theory ⋮ Edelen's dissipation potentials and the visco-plasticity of particulate media ⋮ On modeling the response of the synovial fluid: unsteady flow of a shear-thinning, chemically-reacting fluid mixture ⋮ Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions ⋮ Special issue dedicated to Professor K. R. Rajagopal on the occasion of his 60th birthday
This page was built for publication: A thermodynamic framework for rate-type fluid models