[
    {
        "id": "authors:cb3bx-20g31",
        "collection": "authors",
        "collection_id": "cb3bx-20g31",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20141020-153743550",
        "type": "book_section",
        "title": "Mixing and Reaction at Low Heat Release in the Non-Homogeneous Shear Layer",
        "author": [
            {
                "family_name": "Frieler",
                "given_name": "C. E.",
                "clpid": "Frieler-C-E"
            },
            {
                "family_name": "Dimotakis",
                "given_name": "P. E.",
                "clpid": "Dimotakis-P-E"
            }
        ],
        "abstract": "The effects of freestream density ratio on the\nmixing and combustion in a high Reynolds number,\nsubsonic, gas-phase, non-buoyant, two-dimensional\nturbulent mixing layer, have been investigated.\nMeasurements of temperature rise (heat release)\nhave been made which enable us to examine the\neffect of freestream density ratio on several\naspects of the mixed fluid state within the\nturbulent combustion region. In experiments with\nvery high and very low stoichiometric mixture\nratios (\"flip\" experiments), the heat release from\nan exothermic reaction serves as a quantitative\nlabel for the lean reactant freestream fluid that\nbecomes molecularly mixed. Properly normalized,\nthe sum of the mean temperature rise profiles of\nthe two flip experiments represent the probability\nof fluid molecularly mixed at any composition. The\nmole fraction distribution and number density\nprofile of the mixed fluid can also be inferred\nfrom such measurements. Although the density ratio\nin these experiments was varied by a factor of\nthirty, profiles of these quantities show little\nvariation, with integrals varying by less than 10%.\nThis insensitivity differs from that of the\ncomposition of molecularly mixed fluid, which is\nvery sensitive to the density ratio. While the\nprofiles of composition exhibit some similarity of\nshape, the average composition of mixed fluid in\nthe layer varies from nearly 1:2 to over 2:l as the\ndensity ratio is increased. A comparison of data\nand available theory for this offset or average\ncomposition is discussed.",
        "publisher": "American Institute of Aeronautics and Astronautics",
        "publication_date": "1988"
    },
    {
        "id": "authors:bdxqf-c0k71",
        "collection": "authors",
        "collection_id": "bdxqf-c0k71",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20141020-152728708",
        "type": "book_section",
        "title": "Inviscid instability characteristics of free shear layers with non-uniform density",
        "author": [
            {
                "family_name": "Koochesfahani",
                "given_name": "M. M.",
                "clpid": "Koochesfahani-M-M"
            },
            {
                "family_name": "Frieler",
                "given_name": "C. E.",
                "clpid": "Frieler-C-E"
            }
        ],
        "abstract": "The linear spatial instability of two-dimensional two-stream plane mixing layers has been studied extensively in the past. In the case of uniform density, Michalke (1965) investigated the single-stream shear\nlayer and Monkewitz & Huerre (1982) considered the effect of the velocity ratio. Maslowe & Kelly (1971) studied the stratified (non-uniform density) shear layers and showed that density variations can be destabilizing. In all these studies, the mean velocity profile\nhas been assumed to be monotonically increasing from the value on the low-speed stream to that on the high-speed stream and usually the hyperbolic tangent form is used. It should be noted, however, that under experimental conditions the initial mean velocity profile almost\nalways has a wake component due to the boundary layers on the two sides of the splitter plate. The effect of the wake component has only recently come into consideration with the investigations of Miau 1984 and Zhang et al. 1984 for the uniform density case.\n\nThe purpose of the present work is to study the instability\ncharacteristics of both uniform and non-uniform density plane shear layers taking into account the wake component of the initial velocity profile. The inviscid, linear, parallel-flow stability analysis of spatially growing disturbances is utilized to numerically calculate the\nrange of unstable frequencies and wave-numbers.",
        "doi": "10.2514/6.1987-47",
        "publisher": "AIAA",
        "publication_date": "1987"
    }
]