3,732 research outputs found

    Three-dimensional instability in flow over a backward-facing step

    Get PDF
    Results are reported from a three-dimensional computational stability analysis of flow over a backward-facing step with an expansion ratio (outlet to inlet height) of 2 at Reynolds numbers between 450 and 1050. The analysis shows that the first absolute linear instability of the steady two-dimensional flow is a steady three-dimensional bifurcation at a critical Reynolds number of 748. The critical eigenmode is localized to the primary separation bubble and has a flat roll structure with a spanwise wavelength of 6.9 step heights. The system is further shown to be absolutely stable to two-dimensional perturbations up to a Reynolds number of 1500. Stability spectra and visualizations of the global modes of the system are presented for representative Reynolds numbers

    Convective instability and transient growth in flow over a backward-facing step

    Get PDF
    Transient energy growths of two- and three-dimensional optimal linear perturbations to two-dimensional flow in a rectangular backward-facing-step geometry with expansion ratio two are presented. Reynolds numbers based on the step height and peak inflow speed are considered in the range 0–500, which is below the value for the onset of three-dimensional asymptotic instability. As is well known, the flow has a strong local convective instability, and the maximum linear transient energy growth values computed here are of order 80×103 at Re = 500. The critical Reynolds number below which there is no growth over any time interval is determined to be Re = 57.7 in the two-dimensional case. The centroidal location of the energy distribution for maximum transient growth is typically downstream of all the stagnation/reattachment points of the steady base flow. Sub-optimal transient modes are also computed and discussed. A direct study of weakly nonlinear effects demonstrates that nonlinearity is stablizing at Re = 500. The optimal three-dimensional disturbances have spanwise wavelength of order ten step heights. Though they have slightly larger growths than two-dimensional cases, they are broadly similar in character. When the inflow of the full nonlinear system is perturbed with white noise, narrowband random velocity perturbations are observed in the downstream channel at locations corresponding to maximum linear transient growth. The centre frequency of this response matches that computed from the streamwise wavelength and mean advection speed of the predicted optimal disturbance. Linkage between the response of the driven flow and the optimal disturbance is further demonstrated by a partition of response energy into velocity components

    Convective instability and transient growth in steady and pulsatile stenotic flows

    Get PDF
    We show that suitable initial disturbances to steady or long-period pulsatile flows in a straight tube with an axisymmetric 75%-occlusion stenosis can produce very large transient energy growths. The global optimal disturbances to an initially axisymmetric state found by linear analyses are three-dimensional wave packets that produce localized sinuous convective instability in extended shear layers. In pulsatile flow, initial conditions that trigger the largest disturbances are either initiated at, or advect to, the separating shear layer at the stenosis in phase with peak systolic flow. Movies are available with the online version of the paper

    The Impact of the CIMMYT Wheat Breeding Program on Mexican Wheat Producers and Consumers: An Economic Welfare Analysis

    Get PDF
    The increase in wheat production in Mexico’s Yaqui Valley from the breeding and development of semidwarf wheat varieties released by CIMMYT is quantified for the period 1990-2002, and the costs and benefits of the wheat research program are estimated and evaluated using a two-region model of the world wheat market.Public wheat breeding, benefit/cost analysis, agricultural research, wheat varieties, Crop Production/Industries, Research and Development/Tech Change/Emerging Technologies,

    Gender-Inclusive Library Workgroup Report

    Get PDF
    The Gender-Inclusive Workgroup explored how VCU Libraries can better serve trans and gender-nonconforming users and staff. The group’s recommendations cover library spaces, staff, systems, services, and culture. Key recommendations include highlighting existing all-gender restrooms; building more gender-inclusive restrooms; expanding availability of menstrual products and disposal bins; continuing support for name-of-use changes in library systems; minimizing display of legal name in library systems; offering ongoing staff training in gender-inclusive language and customer service; and encouraging staff to share pronouns. The workgroup also recommends pursuing a culture of shared learning and inclusive thinking, with a reminder that gender identity is one facet of multiple intersecting identities for people in the VCU community

    Pattern fluctuations in transitional plane Couette flow

    Full text link
    In wide enough systems, plane Couette flow, the flow established between two parallel plates translating in opposite directions, displays alternatively turbulent and laminar oblique bands in a given range of Reynolds numbers R. We show that in periodic domains that contain a few bands, for given values of R and size, the orientation and the wavelength of this pattern can fluctuate in time. A procedure is defined to detect well-oriented episodes and to determine the statistics of their lifetimes. The latter turn out to be distributed according to exponentially decreasing laws. This statistics is interpreted in terms of an activated process described by a Langevin equation whose deterministic part is a standard Landau model for two interacting complex amplitudes whereas the noise arises from the turbulent background.Comment: 13 pages, 11 figures. Accepted for publication in Journal of statistical physic
    corecore