Results 51 to 60 of about 190,798 (136)

EQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM

Известия высших учебных заведений: Нефть и газ, 2016
Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to ...
A. G. Obukhov, N. V. Chunikhina
doaj   +1 more source

Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions

Abstract and Applied Analysis, 2013
This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
doaj   +1 more source

Flow in a model turbine stator [PDF]

In view of the complex nature of the flowfield in the hot section of gas turbine engines, the need to predict heat transfer and flow losses, the possible appearance of separation and strong secondary flows, etc., the present effort is focusing upon a ...
Briley, W. R., Buggeln, R. C., Shamroth, S. J.   +2 more
core   +1 more source

Governing equations of fluid mechanics in physical curvilinear coordinate system

Electronic Journal of Differential Equations, 1998
This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on
Swungho Lee, Bharat K. Soni
doaj  

Solution of Fraction Navier–Stokes Equation Using Homotopy Analysis Method

AppliedMath
In the present study, we aimed to derive analytical solutions of the homotopy analysis method (HAM) for the time-fractional Navier–Stokes equations in cylindrical coordinates in the form of a rapidly convergent series.
Hamza Mihoubi, Awatif Muflih Alqahtani
doaj   +1 more source

A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

Abstract and Applied Analysis, 2012
We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers ...
Xiang'ou Zhu
doaj   +1 more source

Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl

, 2006
In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis.
Hou, Thomas Y., Li, Congming
core   +2 more sources

Euler/Navier-Stokes calculations of transonic flow past fixed- and rotary-wing aircraft configurations [PDF]

Computational fluid dynamics has an increasingly important role in the design and analysis of aircraft as computer hardware becomes faster and algorithms become more efficient.
Agarwal, R. K., Deese, J. E.
core   +1 more source

Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions

Electronic Journal of Differential Equations, 2016
We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that
Hani Ali, Petr Kaplicky
doaj  

The Double-Logarithmic Regularity Criterion of Pressure for the 3D Navier–Stokes Equations in the Besov Space

Journal of Mathematics
In the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
doaj   +1 more source