Nonlinear model equation for weakly turbulent premixed flames with realistic fuel expansion is proposed. The equation describes both the hydrodynamic flame instability and flame response to external turbulence in the regime of flamelets. On the basis of the proposed equation the velocity of turbulent flames is investigated for the cases of both weak and relatively strong turbulence. Comparison ...

We analyze the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap. The static solutions and their regimes of dynamical instability vary nontrivially with the strength of the dipolar interactions. We comprehensively map out this behavior, and, in particular, examine the experimental routes toward unstable dyna...

A postprocess analysis of a single time frame hydrodynamic profile from the PRISM two-dimensional MHD simulation of an argon gas puff Z-pinch plasma experiment on Double-Eagle generator at Physics Internationals, Co. is presented. In addition, spatially resolved emission spectra and filtered (Kand L-shell radiation) x-ray pinhole images, generated using the SPEC2D code, are examined toward the ...

The concept of pseudospectrum was introduced by L. N. Trefethen to explain the behavior of nonnormal operators. Many phenomena (for example, hydrodynamic instability and convergence of iterative methods for linear systems) cannot be accounted for by eigenvalue analysis but are more understandable by examining the pseudospectra. The straightforward way to compute pseudospectra involves many appl...

We attempt to address the old problem of plane shear flows: origin turbulence and hence transport angular momentum in accretion flows as well laboratory flows, such Couette flow. undertake by introducing an extra force Orr-Sommerfeld Squire equations along with Coriolis mimicking local region disk. For flow, term drops. Subsequently we solve WKB approximation method. investigate dispersion rela...

Three colloidal spheres driven around a ring-like optical trap known as an optical vortex have been predicted to undergo periodic collective motion due to their hydrodynamic coupling. In fact, the quenched disorder in the optically-implemented potential energy landscape drives a transition to instability evolving into microscopic weak chaos with fractional dynamics. As a result, the relation be...

LLE Review, Volume 99 183 Introduction Experiments carried out on the OMEGA1 laser place very stringent requirements on target-chamber diagnostics. For example, the development of early-time hydrodynamic instability measurements in inertial confinement fusion (ICF) targets involves x-ray radiographic techniques that require a diagnostic capable of detecting small perturbation amplitudes and hig...

The Kelvin-Helmholtz (KH) instability is a basic hydrodynamic phenomenon in sheared flows. Magnetic fields can strongly influence the linear and non-linear behavior of this instability. A recent full parameter study (Paper I) of the growth and saturation of the KH instability in two-dimensional (2D) compressible magnetohydrodynamics (MHD) augmented the vast body of knowledge on magnetically ind...