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We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally…

Fluid Dynamics · Physics 2017-07-12 Jaroslav Hron , Vojtěch Miloš , Vít Průša , Ondřej Souček , Karel Tůma

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

Layer formation in a thermally destabilized fluid with stable density gradient has been observed in laboratory experiments and has been proposed as a mechanism for mixing molecular weight in late stages of stellar evolution in regions which…

Astrophysics · Physics 2007-05-23 Joseph A. Biello

A wall model for large-eddy simulation (LES) is proposed by devising the flow as a combination of building blocks. The core assumption of the model is that a finite set of simple canonical flows contains the essential physics to predict the…

Fluid Dynamics · Physics 2023-06-07 Adrián Lozano-Durán , H. Jane Bae

We present a modified model based on shear rate and aging time dependent static friction between a soft solid such as gelatin hydrogel and a hard surface for instance glass surface. Earlier the model for static friction (Juvekar and Singh,…

Soft Condensed Matter · Physics 2021-01-26 Arun K. Singh , Vinay A. Juvekar

A deterministic theory describing the melting of an ultrathin lubricant film between two atomically smooth solid surfaces has been developed. The lubricant state is described by introducing a parameter of excess volume that arises owing to…

Fluid Dynamics · Physics 2011-03-31 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

Complex physical systems which exhibit fluid-like behavior are often modeled as non-Newtonian fluids. A crucial element of a non-Newtonian model is the rheology, which relates inner stresses with strain-rates. We propose a framework for…

Numerical Analysis · Mathematics 2026-04-28 Gonzalo G. de Diego , Georg Stadler

When a liquid drop spreads on an adaptive substrate the latter changes its properties what may result in an intricate coupled dynamics of drop and substrate. Here we present a generic mesoscale hydrodynamic model for such processes that is…

Fluid Dynamics · Physics 2020-10-28 Uwe Thiele , Simon Hartmann

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their…

Soft Condensed Matter · Physics 2016-07-06 Julia Boschan , Daniel Vagberg , Ellak Somfai , Brian P. Tighe

Granular elasticity, an elasticity theory useful for calculating static stress distribution in granular media, is generalized to the dynamic case by including the plastic contribution of the strain. A complete hydrodynamic theory is derived…

Soft Condensed Matter · Physics 2010-10-14 Yimin Jiang , Mario Liu

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

Water freezing in particle suspensions widely exists in nature. As a typical physical system of free boundary problem, the spatiotemporal evolution of the solid/liquid interface not only origins from phase transformation but also from…

Materials Science · Physics 2023-08-16 Tongxin Zhang , Zhijun Wang , Lilin Wang , Junjie Li , Jincheng Wang

We use Shear Transformation Zone (STZ) theory to develop a deformation map for amorphous solids as a function of the imposed shear rate and initial material preparation. The STZ formulation incorporates recent simulation results [Haxton and…

Soft Condensed Matter · Physics 2009-11-13 M. L. Manning , E. G. Daub , J. S. Langer , J. M. Carlson

The relevance of the vortex-gas model to the large scale dynamics of temporally evolving turbulent free shear layers in an inviscid incompressible fluid has recently been established by extensive numerical simulations (Suryanarayanan et al,…

Fluid Dynamics · Physics 2015-09-04 Saikishan Suryanarayanan , Roddam Narasimha

The flow through a porous medium strongly depends on the boundary conditions, very often assumed to be static. Here, we consider changes in the medium due to swelling and erosion and extend existing Lattice-Boltzmann models to include both.…

The safety and integrity of engineered structures are critically dependent on maintaining sufficient preload in their bolted joints. This preload can be dynamically lost due to sustained vibrations or sudden shock that are large enough to…

Dynamical Systems · Mathematics 2025-09-01 Qirui He , Rui Wang , Matthew J. Alexander , Keegan J. Moore

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

Soft Condensed Matter · Physics 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

In this work, a near-wall model, which couples the inverse of a recently developed compressible velocity transformation [Griffin, Fu, & Moin, PNAS, 118:34, 2021] and an algebraic temperature-velocity relation, is developed for high-speed…

Fluid Dynamics · Physics 2023-09-11 Kevin Patrick Griffin , Lin Fu , Parviz Moin

The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure to a corrosive chemical species, high temperatures,…

Materials Science · Physics 2016-07-20 C. Xu , M. K. Mudunuru , K. B. Nakshatrala

A slip model for gas flows in micro/nano-channels induced by external body forces is derived based on Maxwell's collision theory between gas molecules and the wall. The model modifies the relationship between slip velocity and velocity…

Fluid Dynamics · Physics 2010-07-27 Q. D. To , C. Bercegeay , G. Lauriat , C. Leonard , G. Bonnet