A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids
K Rajagopal - Comptes Rendus. Mécanique, 2023 - comptes-rendus.academie-sciences …
We review the class of implicit algebraic constitutive relations for fluids which includes in its
ambit those whose material properties depend on the invariants of the stress, the symmetric …
ambit those whose material properties depend on the invariants of the stress, the symmetric …
On unsteady flows of implicitly constituted incompressible fluids
We consider unsteady flows of incompressible fluids with a general implicit constitutive
equation relating the deviatoric part of the Cauchy stress S and the symmetric part of the …
equation relating the deviatoric part of the Cauchy stress S and the symmetric part of the …
On the nonlinear elastic response of bodies in the small strain range
KR Rajagopal - Acta Mechanica, 2014 - Springer
The classical linearized approximation to describe the elastic response of solids is the most
widely used model in solid mechanics. This approximate model is arrived at by assuming …
widely used model in solid mechanics. This approximate model is arrived at by assuming …
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion
In the first part of the paper we provide a new classification of incompressible fluids
characterized by a continuous monotone relation between the velocity gradient and the …
characterized by a continuous monotone relation between the velocity gradient and the …
A novel approach to the description of constitutive relations
KR Rajagopal, G Saccomandi - Frontiers in Materials, 2016 - frontiersin.org
Recent advances in the development of implicit constitutive relations to describe the
response of both solids and fluids have greatly increased the repertoire of the modeler in his …
response of both solids and fluids have greatly increased the repertoire of the modeler in his …
[PDF][PDF] Derivation of equations for continuum mechanics and thermodynamics of fluids
The chapter starts with overview of the derivation of the balance equations for mass,
momentum, angular momentum and total energy, which is followed by a detailed discussion …
momentum, angular momentum and total energy, which is followed by a detailed discussion …
Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
We discuss the applicability of a unified hyperbolic model for continuum fluid and solid
mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven …
mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven …
[HTML][HTML] On determining Navier's slip parameter at a solid boundary in flows of a Navier–Stokes fluid
J Málek, KR Rajagopal - Physics of Fluids, 2024 - pubs.aip.org
While the assumption of the “no-slip” condition at a solid boundary is unquestioningly
applied to study the flow characteristics of a Navier–Stokes fluid, there was considerable …
applied to study the flow characteristics of a Navier–Stokes fluid, there was considerable …
On a methodology to determine whether the fluid slips adjacent to a solid surface
J Málek, KR Rajagopal - International Journal of Non-Linear Mechanics, 2023 - Elsevier
On a methodology to determine whether the fluid slips adjacent to a solid surface -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
A thermodynamic basis for the derivation of the Darcy, Forchheimer and Brinkman models for flows through porous media and their generalizations
S Srinivasan, KR Rajagopal - International Journal of Non-Linear …, 2014 - Elsevier
In this study we use a general thermodynamic framework which appeals to the criterion of
maximal rate of entropy production to obtain popular models due to Darcy and Brinkman …
maximal rate of entropy production to obtain popular models due to Darcy and Brinkman …