Results 41 to 50 of about 26,842 (214)

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

Radiation‐Absorptive Heat Transport in Buoyancy‐Driven MHD Nanofluids Flow With Cross‐Diffusion and Chemical Interaction Effects Over a Vertical Moving Plate

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids (TiO2–water$$ {\mathrm{TiO}}_2\hbox{--} \mathrm{water} $$ and Cu–water$$ \mathrm{Cu}\hbox{--} \mathrm{water} $$) flow over a vertical moving permeable plate.
B. Prabhakar Reddy, Jumanne Mng'ang'a, P. V. Kanaka Rao   +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

Incorporating metamorphism in geodynamic models: the mass conservation problem [PDF]

, 2017
Geodynamic models incorporating metamorphic phase transformations almost invariably assume the validity of the Boussinesq approximation that violates conservation of mass.
Cattin, Rodolphe, Connolly, James A.D., Godard, Vincent, Hetényi, György   +3 more
core  

Higher Order Modulation Equations for a Boussinesq Equation

, 2002
In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation.
C. Eugene Wayne, J. Douglas Wright, Kalyakin L., Kano Tadayoshi   +3 more
core   +2 more sources

Visco-potential free-surface flows and long wave modelling [PDF]

, 2008
In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona, Bona, Bona, Boussinesq, Byatt-Smith, Chen, Chester, Denys Dutykh, Dias, Dias, Dutykh, Dutykh, Dyachenko, Dyachenko, Grimshaw, Joseph, Kakutani, Keulegan, Khabakhpashev, Khabakhpashev, Lamb, Lighthill, Liu, Liu, Liu, Liu, Longuet-Higgins, Matsuuchi, Mei, Mei, Miles, Sugimoto, Sugimoto, Torsvik, Wu, Zabusky, Zakharov, Zakharov   +37 more
core   +4 more sources

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

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +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