Mixing efficiency of a stably stratified fluid

K. Oduyemi*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    Universally valid expressions for the momentum and mass diffusion coefficients in stratified shear flows do not exist. Similarly, the effect of molecular diffusion in the mixing effciency of a stably stratified has not been investigated previously. In this paper the mixing efficiency in stably stratified flow is considered. Numerical investigations of unsheared stratified flows provide qualitative insight into the turbulence characteristics of stably stratified turbulent flows. Different types of stratified shear flows give qualitatively similar results for the mixing efficiency in the gradient Richardson number, Ri, range of 0.01–1.0. Mixing efficciency is proportional to Ri and its magnitude appears to depend on stratification in the fluid column. Suspended solids appear to effect the turbulence exchange processes in a different manner to those of salt and heat. The ratio of the diffusivity of solute (or mass) to the diffusivity of momentum is less than 1 and can be taken as 0.25 for sediment-laden turbulent shear flows. This ratio is about a factor of 2–3 larger when heat- and salt-induced stratification exist, the difference possibly due to the settling nature of suspended solids.
    Original languageEnglish
    Pages (from-to)107-115
    Number of pages9
    JournalBoundary-Layer Meteorology
    Volume62
    Issue number1-4
    DOIs
    Publication statusPublished - Jan 1993

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    stratified fluid
    stratified flow
    shear flow
    turbulent flow
    diffusivity
    momentum
    stratification
    turbulence
    salt
    Richardson number
    solute
    fluid
    sediment

    Cite this

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    title = "Mixing efficiency of a stably stratified fluid",
    abstract = "Universally valid expressions for the momentum and mass diffusion coefficients in stratified shear flows do not exist. Similarly, the effect of molecular diffusion in the mixing effciency of a stably stratified has not been investigated previously. In this paper the mixing efficiency in stably stratified flow is considered. Numerical investigations of unsheared stratified flows provide qualitative insight into the turbulence characteristics of stably stratified turbulent flows. Different types of stratified shear flows give qualitatively similar results for the mixing efficiency in the gradient Richardson number, Ri, range of 0.01–1.0. Mixing efficciency is proportional to Ri and its magnitude appears to depend on stratification in the fluid column. Suspended solids appear to effect the turbulence exchange processes in a different manner to those of salt and heat. The ratio of the diffusivity of solute (or mass) to the diffusivity of momentum is less than 1 and can be taken as 0.25 for sediment-laden turbulent shear flows. This ratio is about a factor of 2–3 larger when heat- and salt-induced stratification exist, the difference possibly due to the settling nature of suspended solids.",
    author = "K. Oduyemi",
    year = "1993",
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    doi = "10.1007/BF00705548",
    language = "English",
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    Mixing efficiency of a stably stratified fluid. / Oduyemi, K.

    In: Boundary-Layer Meteorology, Vol. 62, No. 1-4, 01.1993, p. 107-115.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Mixing efficiency of a stably stratified fluid

    AU - Oduyemi, K.

    PY - 1993/1

    Y1 - 1993/1

    N2 - Universally valid expressions for the momentum and mass diffusion coefficients in stratified shear flows do not exist. Similarly, the effect of molecular diffusion in the mixing effciency of a stably stratified has not been investigated previously. In this paper the mixing efficiency in stably stratified flow is considered. Numerical investigations of unsheared stratified flows provide qualitative insight into the turbulence characteristics of stably stratified turbulent flows. Different types of stratified shear flows give qualitatively similar results for the mixing efficiency in the gradient Richardson number, Ri, range of 0.01–1.0. Mixing efficciency is proportional to Ri and its magnitude appears to depend on stratification in the fluid column. Suspended solids appear to effect the turbulence exchange processes in a different manner to those of salt and heat. The ratio of the diffusivity of solute (or mass) to the diffusivity of momentum is less than 1 and can be taken as 0.25 for sediment-laden turbulent shear flows. This ratio is about a factor of 2–3 larger when heat- and salt-induced stratification exist, the difference possibly due to the settling nature of suspended solids.

    AB - Universally valid expressions for the momentum and mass diffusion coefficients in stratified shear flows do not exist. Similarly, the effect of molecular diffusion in the mixing effciency of a stably stratified has not been investigated previously. In this paper the mixing efficiency in stably stratified flow is considered. Numerical investigations of unsheared stratified flows provide qualitative insight into the turbulence characteristics of stably stratified turbulent flows. Different types of stratified shear flows give qualitatively similar results for the mixing efficiency in the gradient Richardson number, Ri, range of 0.01–1.0. Mixing efficciency is proportional to Ri and its magnitude appears to depend on stratification in the fluid column. Suspended solids appear to effect the turbulence exchange processes in a different manner to those of salt and heat. The ratio of the diffusivity of solute (or mass) to the diffusivity of momentum is less than 1 and can be taken as 0.25 for sediment-laden turbulent shear flows. This ratio is about a factor of 2–3 larger when heat- and salt-induced stratification exist, the difference possibly due to the settling nature of suspended solids.

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