Results 31 to 40 of about 1,393 (185)

On the Quasi-periodic Gravitational Modulation of Polymerization Front with Solid Product

MATEC Web of Conferences, 2014
The quasi-periodic gravitational modulation of polymerization front with solid product is studied in this paper. The model we consider includes the heat equation, the equation for the concentration and the Navier-Stokes equations under the Boussinesq ...
Allali Karam, Assiyad Saadia, Belhaq Mohamed   +2 more
doaj   +1 more source

Natural convection in a model chamber with the Boussinesq approximation utilization [PDF]

Biuletyn Wojskowej Akademii Technicznej, 2017
The paper presents numerical analysis of heat transfer inside a model chamber in time after entering an object of elevated temperature therein. As a result of the temperature difference between the object and the environment in the room, natural ...
Weronika Radzikowska-Juś, Stefan Owczarek   +1 more
doaj   +1 more source

New Thermal Lattice Boltzmann Method for Modeling Heat Transfer Problems Considering Temperature‐Dependent Properties

Heat Transfer, EarlyView.
ABSTRACT Several engineering problems involve the need to model conjugate heat transfer processes considering the temperature‐dependence of the material properties. Consequently, a simulation tool capable of modeling this process is of great interest. In this context, the present work proposes a thermal lattice Boltzmann method (TLBM) for modeling the ...
Julia Akiko Sassa, Ivan Talão Martins, Luben Cabezas Gómez   +2 more
wiley   +1 more source

CaTSM: A Pseudo‐Spectral Thermodynamically Consistent Model of Compressible Flows

Journal of Advances in Modeling Earth Systems, 2022
We introduce a pseudo‐spectral algorithm that includes full compressible dynamics with the intent of simulating near‐incompressible fluids, CaTSM (Compressible and Thermodynamically consistent Spectral Model).
Justin M. Brown, William Dewar, Timour Radko   +2 more
doaj   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions

MATEC Web of Conferences, 2016
The two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or ...
Goncharova Olga, Rezanova Ekaterina
doaj   +1 more source

Approximation of ill-posed boussinesq equations [PDF]

Dynamical Systems, 2004
In this paper we compare the dynamics on the centre manifold of the solutions of an ill-posed Boussinesq equation with a well-posed version. We show that the dynamics in the centre manifold of the ill-posed equation tracks the dynamics of the well-posed equation. Our results give partial justification to the long-wave perturbation theory.
Diogo A. Gomes, Claudia Valls
openaire   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source

Macroscopic Convective Fluid Flows Arising From Binding of Ions and Small Molecules to Proteins

Small, EarlyView.
The interaction of ions or small molecules with proteins causes convective flows due to the displacement of water from the hydration shell. As shown, the replacement of the nickel ion removed from urease by EDTA pre‐treatment results in binding‐induced convective fluid flow.
Shanid Babu Shrestha, Jiaqi Song, Ali Heydari, Igor S. Aranson, Ayusman Sen   +4 more
wiley   +1 more source