The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform

Lili Huang - One of the best experts on this subject based on the ideXlab platform.

  • on the modelling of shallow water waves with the Coriolis Effect
    Journal of Nonlinear Science, 2020
    Co-Authors: Yong Chen, Lili Huang
    Abstract:

    Consideration herein is a rotation-Camassa–Holm-type equation, which can be derived as an asymptotic model for the propagation of long-crested shallow-water waves in the equatorial ocean regions with the weak Coriolis Effect due to the Earth’s rotation, and is also related to the compressible hyperelastic rod model in the material science. This model equation has a formal Hamiltonian structure, and its solution corresponding to physically relevant initial perturbations is more accurate on a much longer time scale. It is shown that the solutions blow up in finite time in the sense of wave breaking. A refined analysis based on the local structure of the dynamics is performed to provide the wave-breaking phenomena. The Effects of the Coriolis force caused by the Earth’s rotation and nonlocal higher nonlinearities on blow-up criteria and wave-breaking phenomena are also investigated. Finally, a sufficient condition for global strong solutions to the equation in some special case is given.

Peter Vadasz - One of the best experts on this subject based on the ideXlab platform.

  • Coriolis Effect on gravity-driven convection in a rotating porous layer heated from below
    Journal of Fluid Mechanics, 1998
    Co-Authors: Peter Vadasz
    Abstract:

    Linear stability and weak nonlinear theories are used to investigate analytically the Coriolis Effect on three-dimensional gravity-driven convection in a rotating porous layer heated from below. Major differences as well as similarities with the corresponding problem in pure fluids (non-porous domains) are particularly highlighted. As such, it is found that, in contrast to the problem in pure fluids, overstable convection in porous media is not limited to a particular domain of Prandtl number values (in pure fluids the necessary condition is Pr

  • Coriolis Effect on gravity driven convection in a rotating porous layer heated from below
    Journal of Fluid Mechanics, 1998
    Co-Authors: Peter Vadasz
    Abstract:

    Linear stability and weak nonlinear theories are used to investigate analytically the Coriolis Effect on three-dimensional gravity-driven convection in a rotating porous layer heated from below. Major differences as well as similarities with the corresponding problem in pure fluids (non-porous domains) are particularly highlighted. As such, it is found that, in contrast to the problem in pure fluids, overstable convection in porous media is not limited to a particular domain of Prandtl number values (in pure fluids the necessary condition is Pr <1). Moreover, it is also established that in the porous-media problem the critical wavenumber in the plane containing the streamlines for stationary convection is not identical to the critical wavenumber associated with convection without rotation, and is therefore not independent of rotation, a result which is quite distinct from the corresponding pure-fluids problem. Nevertheless it is evident that in porous media, just as in the case of pure fluids subject to rotation and heated from below, the viscosity at high rotation rates has a destabilizing Effect on the onset of stationary convection, i.e. the higher the viscosity the less stable the fluid. Finite-amplitude results obtained by using a weak nonlinear analysis provide differential equations for the amplitude, corresponding to both stationary and overstable convection. These amplitude equations permit one to identify from the post-transient conditions that the fluid is subject to a pitchfork bifurcation in the stationary convection case and to a Hopf bifurcation associated with the overstable convection. Heat transfer results were evaluated from the amplitude solution and are presented in terms of Nusselt number for both stationary and overstable convection. They show that rotation has in general a retarding Effect on convective heat transfer, except for a narrow region of small values of the parameter containing the Prandtl number where rotation enhances the heat transfer associated with overstable convection.

  • Coriolis Effect on free convection in a long rotating porous box subject to uniform heat generation
    International Journal of Heat and Mass Transfer, 1995
    Co-Authors: Peter Vadasz
    Abstract:

    Abstract The Coriolis Effect on free convection in a long rotating porous box subject to uniform heat generation is investigated analytically. A three dimensional analytical solution is presented for large values of the porous media Ekman number. The convection results from internal heat generation which produces temperature gradients orthogonal to the centrifugal body force. Two types of thermal boundary conditions are considered for the top and bottom walls of the box. The first type is associated with perfectly conducting boundaries, i.e. the same temperature is imposed on both the top and bottom walls while the second type corresponds to a perfectly conducting top wall and adiabatic bottom wall. The solution to the nonlinear set of partial differential equations is obtained through an asymptotic expansion of the dependent variables in terms of two small parameters representing the reciprocal Ekman number in porous media and the aspect ratio of the domain. Secondary circulation in the form of one or two vortices is obtained in a plane orthogonal to the leading free convection plane.

Yong Chen - One of the best experts on this subject based on the ideXlab platform.

  • on the modelling of shallow water waves with the Coriolis Effect
    Journal of Nonlinear Science, 2020
    Co-Authors: Yong Chen, Lili Huang
    Abstract:

    Consideration herein is a rotation-Camassa–Holm-type equation, which can be derived as an asymptotic model for the propagation of long-crested shallow-water waves in the equatorial ocean regions with the weak Coriolis Effect due to the Earth’s rotation, and is also related to the compressible hyperelastic rod model in the material science. This model equation has a formal Hamiltonian structure, and its solution corresponding to physically relevant initial perturbations is more accurate on a much longer time scale. It is shown that the solutions blow up in finite time in the sense of wave breaking. A refined analysis based on the local structure of the dynamics is performed to provide the wave-breaking phenomena. The Effects of the Coriolis force caused by the Earth’s rotation and nonlocal higher nonlinearities on blow-up criteria and wave-breaking phenomena are also investigated. Finally, a sufficient condition for global strong solutions to the equation in some special case is given.

Yongliang Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Coriolis Effect and spin hall Effect of light in an inhomogeneous chiral medium
    Optics Letters, 2016
    Co-Authors: Yongliang Zhang
    Abstract:

    We theoretically investigate the spin Hall Effect of spinning light in an inhomogeneous chiral medium. The Hamiltonian equations of the photon are analytically obtained within eikonal approximation in the noninertial orthogonal frame. Besides the usual spin curvature coupling, the chiral parameter enters the Hamiltonian as a spin–torsion-like interaction. We reveal that both terms have parallel geometric origins as the Coriolis terms of Maxwell’s equations in nontrivial frames.

Erez Hasman - One of the best experts on this subject based on the ideXlab platform.

  • Coriolis Effect in optics unified geometric phase and spin hall Effect
    Physical Review Letters, 2008
    Co-Authors: Konstantin Y Bliokh, Yuri Gorodetski, Vladimir Kleiner, Erez Hasman
    Abstract:

    We examine the spin-orbit coupling Effects that appear when a wave carrying intrinsic angular momentum interacts with a medium. The Berry phase is shown to be a manifestation of the Coriolis Effect in a noninertial reference frame attached to the wave. In the most general case, when both the direction of propagation and the state of the wave are varied, the phase is given by a simple expression that unifies the spin redirection Berry phase and the Pancharatnam-Berry phase. The theory is supported by the experiment demonstrating the spin-orbit coupling of electromagnetic waves via a surface plasmon nanostructure. The measurements verify the unified geometric phase, demonstrated by the observed polarization-dependent shift (spin-Hall Effect) of the waves.