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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 64
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 3, June 2013
  4. Nonlinear evolution of a column swirling jet
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 6, December 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 5, October 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 4, August 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 3, June 2013
On ground state solutions for superlinear Hamiltonian elliptic systems
A hybrid model for opinion formation
Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics
How to obtain higher-order multivariate Hermite expansion of Maxwell–Boltzmann distribution by using Taylor expansion?
Stability of blowup for a parabolic p-Laplace equation with nonlinear source
Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem
Interaction of oblique deflagration and shock for two-dimensional steady adiabatic combustion system
Global existence and convergence rates of smooth solutions for the full compressible MHD equations
On the steady equations for compressible radiative gas
Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces
On the boundary of the attainable set of the dirichlet spectrum
Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence
Global existence and decay of energy to systems of wave equations with damping and supercritical sources
The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: the power like case
Incremental equations for pre-stressed compressible viscoelastic materials
Life span of solutions with large initial data for a class of coupled parabolic systems
On the asymptotic behavior of solution for the generalized IBq equation with Stokes damped term
Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions
The Tricomi problem of a quasi-linear Lavrentiev–Bitsadze mixed type equation
Global solutions of the Navier–Stokes equations for isentropic flow with large external potential force
Cauchy problem and initial traces for fast diffusion equation with space-dependent source
Termination time of characteristics of Hamilton-Jacobi equations
Nonlinear evolution of a column swirling jet
Explicit solution of the frictional contact problem of anisotropic materials indented by a moving stamp with a triangular or parabolic profile
Semi-analytical approximations for a class of multi-parameter eigenvalue problems related to tensile buckling
Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli
A neutral multi-coated sphere under non-uniform electric field in conductivity
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 1, February 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Studies on stability and dynamics of a swirling jet

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Nonlinear evolution of a column swirling jet

Content Provider SpringerLink
Author Adham, Mahmoud Sirwah, Magdy A. Zakaria, Kadry
Copyright Year 2012
Abstract The aim of this work is to study the nonlinear temporal evolution of an alternating swirling streaming jet. According to laboratory observations, the viscous dissipation is simulated by means of a phenomenological damping coefficient included in the equation of motion (Jiang et al. in J Fluid Mech 369:273–299, 1998; Wright et al. in J Fluid Mech 402:1–32, 2000) and added to the Bernoulli equation or to the evolution equation. The multiple scales are used for finding out the evolution equations. The fixed points of the solutions have been determined. Really, the modulation concept is exploited in order to analyze the stability criteria in the possible cases of resonance. While in the non-resonant case, the nontrivial solutions are obtained numerically. Different numerical applications have been considered. The studied cases have showed that the Weber number, the phenomenological number and the streamwise circulation play a significant role in determining the dynamics of the developing interfacial patterns.
Ending Page 830
Page Count 20
Starting Page 811
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 3
Volume Number 64
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-10-04
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Alternating swirling jet Incompressible inviscid fluids Rotating fluids Mathematical Methods in Physics Hydrodynamic stability Phenomenological coefficient Nonlinear evolution Resonance phenomenon Theoretical and Applied Mechanics
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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