Results 71 to 80 of about 6,210,244 (221)

Plane-Parallel Laminar Flow of Viscous Fluid in the Transition Zone of the Inlet Section

open access: yesJournal of Architectural and Engineering Research, 2023
A study was conducted to analyze how hydrodynamic parameters change in the entrance region of plane-parallel flow under stationary flow conditions, with an initial arbitrary distribution of velocities in the entrance section.
Arestak Sarukhanyan   +2 more
doaj   +1 more source

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

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 12, Page 2435-2490, December 2026.
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   +2 more
wiley   +1 more source

RBF method for solving Navier-Stokes equations

open access: yes, 2023
This thesis explores the application of Radial Basis Functions (RBFs) to fluid dynamical problems. In particular, stationary Stokes and Navier-Stokes equations are solved using RBF collocation method.
Yelnyk, Volodymyr
core   +3 more sources

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

open access: yesElectronic Journal of Differential Equations, 2003
We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection.
Jose Luiz Boldrini   +1 more
doaj  

On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$.
Alexander A Fomin, Liubov N Fomina
doaj   +1 more source

A Minimalist Model for the Capture and Investigation of Solitary Waves in Gravity–Driven Liquid Films

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle   +2 more
wiley   +1 more source

Four‐Level Overlapping Schwarz as Multigrid Coarse Solver for Incompressible Non‐Newtonian Flow in Complex Geometries

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT For complex geometries, the coarse problem of geometric multigrid can be too large to be solved by a direct solver. Here, we report on the use of domain decomposition applied to the multigrid coarse problem. Additive overlapping Schwarz methods are domain decomposition methods for the iterative solution of partial differential equations whose ...
Stephan Köhler, Oliver Rheinbach
wiley   +1 more source

REVISITING THE FIRST INTEGRAL OF NAVIER-STOKES

open access: yes, 2018
In this paper, a complex rst integral of Navier-Stokes equation for steady ow is solved. Particularly, three types of viscous ows were found: viscous Dipole ow, conjugated stationary ow and Ricatti irrotational ow.
José Ignacio, José Ignacio (5096915)
core   +1 more source

Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
The propulsive motion of a multimass system, vibration-driven robot (VR), in a viscous incompressible fluid was studied. The VR consisted of a round cylindrical body submerged in the fluid and an internal mass (IM) performing small-amplitude pendulum ...
V. D. Anisimov   +3 more
doaj   +1 more source

Shape Optimization of a Hydraulic Turbine Using Deep Reinforcement Learning

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The present study explores the potential of deep reinforcement learning for the geometric optimization of a hydraulic turbine and compares its performance with that of an evolutionary algorithm. Shape optimization in fluid mechanics often leads to high‐dimensional, highly non‐linear problems, requiring efficient methods to approximate global ...
Simon Eyselein   +3 more
wiley   +1 more source

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