The viscous fingering of miscible flow displacements in a homogeneous porous media is examined to determine the effects of
an anisotropic dispersion tensor on the development of the instability. In particular, the role of velocity-dependent transverse
and longitudinal dispersions is investigated through linear stability analysis and nonlinear simulations. It is found that
an isotropic velocity-dependent dispersion tensor does not affect substantially the development of the instability and effectively
has the same effect as molecular diffusion. On the other hand, an anisotropic velocity-dependent dispersion tensor results
in different instability characteristics and more intricate finger structures. It is shown that anisotropic dispersion has
profound effects on the development of the fingers and on the mechanisms of interactions between neighboring fingers. The
development of the new finger structures is explained by examining the velocity field and characterized qualitatively through
a spectral analysis of the average concentration and an analysis of the variations of the sweep efficiency and relative contact
area. 相似文献
Non-linear feedback control provides an effective methodology for vibration mitigation in non-linear dynamic systems. However, within digital circuits, actuation mechanisms, filters, and controller processing time, intrinsic time-delays unavoidably bring an unacceptable and possibly detrimental delay period between the controller input and real-time system actuation. If not well-studied, these inherent and compounding delays may inadvertently channel energy into or out of a system at incorrect time intervals, producing instabilities and rendering controllers’ performance ineffective. In this work, we present a comprehensive investigation of the effect of time delays on the non-linear control of parametrically excited cantilever beams. More specifically, we examine three non-linear cubic delayed-feedback control methodologies: position, velocity, and acceleration delayed feedback. Utilizing the method of multiple scales, we derive the modulation equations that govern the non-linear dynamics of the beam. These equations are then utilized to investigate the effect of time delays on the stability, amplitude, and frequency–response behavior. We show that, when manifested in the feedback, even the minute amount of delays can completely alter the behavior and stability of the parametrically excited beam, leading to unexpected behavior and responses that could puzzle researchers if not well-understood and documented. 相似文献
This paper presents the fluid flow characteristics of natural convection flow in an anti-symmetrically heated parallel-plate
vertical channel using the Particle Image Velocimetry (PIV) system. The channel walls were subjected to uniform temperature
conditions, with one wall heated above ambient and the opposing wall maintained below ambient temperature. Velocity measurements
were conducted at three different sections on the horizontal plane to validate two-dimensionality of the flow and at three
different heights in the vertical plane to establish vertical mean velocity profiles. The results indicate that the flow recirculation
in the channel exhibits a similar character to that of a closed cavity and the induced flow rate is much lower than the one
for a channel with both walls heated. A correlation for the dimensionless flow rate is developed. 相似文献
To realize large scanning angles, torsional microscanners are normally excited at their natural frequencies. Usually, a bias DC voltage is also applied to scan around a desired nonzero tilt angle. As a result, a deep understanding of the mirror’s response to a DC-shifted primary resonance excitation is imperative. Along these lines, we use the method of multiple scales to obtain a second-order nonlinear approximate analytical solution of the mirror steady-state response. We show that the response of the mirror exhibits a softening-type behavior that increases as the magnitude of the DC component increases. For a given mirror, we can also identify a DC voltage range wherein the mirror exhibits a two-to-one internal resonance between the first two modes; that is, ω2≈2ω1. To analyze the mirror behavior within that range, we first treat the case where the excitation frequency is near the first-mode frequency; that is, Ω≈ω1. Then we treat the case where the excitation frequency is near the second-mode frequency; that is, Ω≈ω2. We analyze the stability of the response and compare the analytical results to numerical solutions obtained via long-time integration of the equations of motion. We show that, due to the internal resonance, the mirror exhibits complex dynamic behavior characterized by aperiodic responses to primary resonance excitations. This behavior results in undesirable oscillations that are detrimental to the mirror performance, namely bringing the target point in and out of focus and resulting in distorted images.
The present paper deals with the numerical investigation of a 2D laminar fluid flow and heat transfer in a plane channel with
two square blocks located at arbitrary positions. The numerical model is based on a coupling between the multiple relaxation
time-lattice Boltzmann equation and the finite difference method for incompressible flow. Both the horizontal and the vertical
separation distances between the two blocks are varied. Particular attention was paid to the distribution patterns of the
time averaged local Nusselt number on the top and bottom walls. Results obtained from the present study show a complex flow
patterns developed in the channel due to the change of the square blocks positions. 相似文献
The novel title ruthenium(II) complex, [RuCl(C10H14)(C10H10N3OS)], was synthesized from the reaction of 1,2,4‐triazepine, a new class of bidentate ligands, with [Ru(p‐cymene)Cl2]2. The 1,2,4‐triazepine ligand is coordinated to the metal centre through the N‐4 and S atoms, forming a four‐membered chelate ring. This is the first structural example of a transition metal complex containing a 1,2,4‐triazepine ligand. 相似文献
Oxidative cyclization of 5‐ethyl‐3‐(4‐methoxybenzylidene)hydrazino‐1,2,4‐triazino[5,6‐b]indole gave the linearly annelated title compound, C19H16N6O. The skeleton is approximately planar, except for the ethyl group. 相似文献
In the title compound, [Zn(NCS)2(C12H16N3O)2], the ZnII ion has a distorted tetrahedral coordination. It is bonded to two thiocyanate and two pyridyl N atoms. The metal ion and the two thiocyanate ligands lie on a mirror plane with the Zn—Npy and average Zn—NNCS bond distances being 2.036 (2) and 1.931 (4) Å, respectively 相似文献
In this article, new trends of analysis on existence, uniqueness, and stability of solution for semi-linear fractional systems are considered. The results are based on a generalization of Bihari's inequality. Some examples are given to illustrate the results. 相似文献