Results 51 to 60 of about 3,171,507 (251)

An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations

, 2014
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho, Constantin, Peter, Wu, Jiahong   +2 more
core   +1 more source

CFD Analysis of Dual‐Layer PCM Roofs for Thermal Mitigation in Residential Buildings

Heat Transfer, EarlyView.
ABSTRACT This study presents a computational fluid dynamics analysis of dual‐layer phase change material (PCM) roofs for passive cooling in residential buildings under the hot and humid climate of Bangladesh. A three‐dimensional transient model was developed in ANSYS Fluent using the enthalpy–porosity approach to simulate coupled heat conduction ...
Mohammad Junaid, Sakhawat Hossan Robel, Mahmud Or‐Rashid, Pabel Shahrear, Md Shajedul Karim, Suvash C. Saha, Goutam Saha   +6 more
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

On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation

Abstract and Applied Analysis, 2012
We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity 𝛾|𝑢|𝑝 and supercritical initial energy.
Hatice Taskesen, Necat Polat, Abdulkadir Ertaş   +2 more
doaj   +1 more source

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

Results in Physics, 2018
In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal, Hawraz N. Jabbar, Khalid K. Ali   +2 more
doaj   +1 more source

Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy

, 2001
It is shown that the integrable discrete Schwarzian KP (dSKP) equation which constitutes an algebraic superposition formula associated with, for instance, the Schwarzian KP hierarchy, the classical Darboux transformation and quasi-conformal mappings ...
Ablowitz M J, Ahlfors L V, Askwith E H, B G Konopelchenko, Bers L, Bobenko A I, Bobenko A I, Bobenko A I, Bobenko A I, Bogdanov L V, Bogdanov L V, Brannan D A, Caraman P, Clifford W K, Darboux G, Dijkgraaf R, Dryuma V S, Guggenheimer H, Jimbo M, Kadomtsev B B, Lehto O, Lester J A, Longuet-Higgins M S, Matveev V B, Miwa T, Morley F, Morozov A, Nijhoff F, Nijhoff F W, Nijhoff F W, Pedoe D, Reshetnyak Yu G, Schramm O, Shiota T, Steiner J, Vuorinen M (ed), W K Schief, Wallace W ('Scoticus'), Zakharov V E, Zakharov V E, Ziegenbein P   +40 more
core   +3 more sources

Boussinesq-type equations from nonlinear realizations of $W_3$ [PDF]

, 1992
We construct new coset realizations of infinite-dimensional linear $W_3^{\infty}$ symmetry associated with Zamolodchikov's $W_3$ algebra which are different from the previously explored $sl_3$ Toda realization of $W_3^{\infty}$.
Ivanov, E., Krivonos, S., Malik, R. P.
core   +2 more sources

On non-stationary boussinesq equations

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1991
In a cylindrical domain \(\Omega\times(0,T)\), where \(\Omega\in\mathbb{R}^ n\) (\(2\leq n\leq 4\)) the initial-boundary value problem for the nonstationary Boussinesq system was considered. The author claims theorems of existence and uniqueness for a weak solution with a reproductive property of the problem stated.
openaire   +3 more sources

Moist convection and radiative cooling: Dynamical response and scaling

Quarterly Journal of the Royal Meteorological Society, EarlyView.
The mechanism that sets the updraught velocities in deep convective clouds is studied here using cloud‐resolving model simulations in radiative–convective equilibrium. We show that, for simulations with vastly different rates of radiative cooling and surface temperatures, the buoyancy in clouds remains remarkably constant (histogram shown here).
Lokahith Agasthya, Caroline Muller
wiley   +1 more source

Spatially variable water table recharge and the hillslope hydrologic response: Analytical solutions to the linearized hillslope Boussinesq equation

Water Resources Research, 2014
The linearized hillslope Boussinesq equation, introduced by Brutsaert (1994), describes the dynamics of saturated, subsurface flow from hillslopes with shallow, unconfined aquifers. In this paper, we use a new analytical technique to solve the linearized
David N. Dralle, Gabrielle F.S. Boisramé, Sally E. Thompson   +2 more
doaj   +1 more source