Results 51 to 60 of about 1,387 (186)

Oscillatory convection and limitations of the Boussinesq approximation [PDF]

Journal of Fluid Mechanics, 2016
We determine the asymptotic conditions under which the Boussinesq approximation is valid for oscillatory convection in a rapidly rotating fluid. In the astrophysically relevant parameter regime of small Prandtl number, we show that the Boussinesq prediction for the onset of convection is valid only under much more restrictive conditions than those that
T. S. Wood, P. J. Bushby
openaire   +3 more sources

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Slender vortex filaments in the Boussinesq approximation

Physics of Fluids
A model for the motion of slender vortex filaments is extended to include the effect of gravity. The model, initially introduced by Callegari and Ting [“Motion of a curved vortex filament with decaying vortical core and axial velocity,” SIAM J. Appl. Math.
Marie Rodal, Daniel Margerit, Rupert Klein   +2 more
openaire   +3 more sources

Natural convection flow near a vertical plate that applies a shear stress to a viscous fluid. [PDF]

PLoS ONE, 2013
The unsteady natural convection flow of an incompressible viscous fluid near a vertical plate that applies an arbitrary shear stress to the fluid is studied using the Laplace transform technique. The fluid flow is due to both the shear and the heating of
Qammar Rubbab, Dumitru Vieru, Corina Fetecau, Constantin Fetecau   +3 more
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, Volume 75, Issue 3, Page 1287-1297, July 2026.
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

On an Iterative Method for Approximate Solutions of a Generalized Boussinesq Model [PDF]

Journal of Mathematical Fluid Mechanics, 2009
An iterative method is proposed for nding approximate solutions of an initial and boundary value problem for a nonstationary generalized Boussinesq model for thermally driven convection of fluids with temperature dependent viscosity and thermal conductivity.
Boldrini, José Luiz, Climent Ezquerra, María Blanca, Rojas Medar, María Drina, Rojas Medar, Marko Antonio   +3 more
openaire   +5 more sources

On nonisothermal two‐fluid channel flows

Mathematical Modelling and Analysis, 2007
Two‐fluid channel flows arise in different kinds of coating technologies. The corresponding mathematical models represent two‐dimensional free boundary value problems for the Navier‐Stokes equations or their modifications.
Jajanek Sokolowsky
doaj   +1 more source

The Annual Modulation of Subtidal Estuarine Dynamics by the Gulf Stream

Journal of Geophysical Research: Oceans, Volume 131, Issue 7, July 2026.
Abstract Boundary currents transport salt and heat along shelf breaks and exhibit distinct subtidal variability. The proximity of boundary currents to the coast suggests they could influence estuarine boundary conditions. However, the influence of boundary currents on estuarine dynamics is underexplored, and a mechanistic framework for the interaction ...
Scott Lee Young, Ischar Edwards, Arnoldo Valle‐Levinson, Xiao Yu, David Kaplan, Mauricio Arias, Elise Morrison, Maitane Olabarrieta   +7 more
wiley   +1 more source

Simulation of the two-dimensional Rayleigh-Taylor instability problem by using diffuse-interface model

AIP Advances, 2019
The purpose of this paper is to simulate a two-dimensional Rayleigh-Taylor instability problem using the diffuse-interface formulation of the incompressible Navier-Stokes equations. The governing equations consist of a system of coupled nonlinear partial
Saher Akmal Khan, Abdullah Shah
doaj   +1 more source

Nonlinear Dynamo in Obliquely Rotating Stratified Electroconductive Fluid in an Uniformly Magnetic Field

East European Journal of Physics, 2020
In this paper, we investigated a new large-scale instability that arises in an obliquely rotating convective electrically conducting fluid in an external uniform magnetic field with a small-scale external force with zero helicity.
Michael I. Kopp, Anatoly V. Tur, Konstantin N. Kulik, Volodymyr V. Yanovsky   +3 more
doaj   +1 more source