Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall

N. Repalle, Krish Thiagarajan, M. Kantharaj

    Research output: Chapter in Book/Conference paperConference paper

    Abstract

    © 2015 by ASME. This research arose from the need to understand the behavior of impact pressure caused by droplets formed during liquid sloshing in a tank. The two phase problem of a cylindrical liquid droplet of diameter D surrounded by a lighter fluid medium, impacting at some angle on a solid wall is studied. The incompressible two-dimensional continuity and Navier Stokes equations are solved by a two-step projection predictor-corrector algorithm, with a third-order Total Variation Diminishing (TVD) Runge-Kutta method for time stepping. The interface of the droplet is tracked by the zero contour of a level set function, which is allowed to evolve over time. Numerical simulation of impact pressure was found to agree well with the measured pressures, in particular at lower droplet velocities where compressibility effects can be ignored. A parametric study was conducted with a droplet of diameter 0.01 m traveling at four different impact angles between 45-90°. Velocities from 3.0-6.0 m/s, corresponding to Reynolds numbers from 2.9E05-4.8E05, and Weber numbers 1.25E04-5.0E05 were considered. The simulated impact pressure maximum plotted against the normal velocity of incidence shows a power law type behavior that is quite insensitive to the density ratio of the two fluids. The relationship between the velocity of the sloshing wave front and resultant pressure obtained from an experiment was found to be well predicted by the power law relationship for the liquid droplet impact.
    Original languageEnglish
    Title of host publicationProceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering
    Pages1-7
    Volume11
    DOIs
    Publication statusPublished - 2015
    EventASME International Conference on Ocean, Offshore and Arctic Engineering -
    Duration: 1 Jan 2011 → …

    Conference

    ConferenceASME International Conference on Ocean, Offshore and Arctic Engineering
    Period1/01/11 → …

    Fingerprint

    liquid sloshing
    impact loads
    liquids
    compressibility effects
    Runge-Kutta method
    fluids
    wave fronts
    continuity
    Navier-Stokes equation
    low speed
    Reynolds number
    incidence
    projection
    predictions
    simulation

    Cite this

    Repalle, N., Thiagarajan, K., & Kantharaj, M. (2015). Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall. In Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering (Vol. 11, pp. 1-7) https://doi.org/10.1115/OMAE2015-41022
    Repalle, N. ; Thiagarajan, Krish ; Kantharaj, M. / Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall. Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering. Vol. 11 2015. pp. 1-7
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    abstract = "{\circledC} 2015 by ASME. This research arose from the need to understand the behavior of impact pressure caused by droplets formed during liquid sloshing in a tank. The two phase problem of a cylindrical liquid droplet of diameter D surrounded by a lighter fluid medium, impacting at some angle on a solid wall is studied. The incompressible two-dimensional continuity and Navier Stokes equations are solved by a two-step projection predictor-corrector algorithm, with a third-order Total Variation Diminishing (TVD) Runge-Kutta method for time stepping. The interface of the droplet is tracked by the zero contour of a level set function, which is allowed to evolve over time. Numerical simulation of impact pressure was found to agree well with the measured pressures, in particular at lower droplet velocities where compressibility effects can be ignored. A parametric study was conducted with a droplet of diameter 0.01 m traveling at four different impact angles between 45-90°. Velocities from 3.0-6.0 m/s, corresponding to Reynolds numbers from 2.9E05-4.8E05, and Weber numbers 1.25E04-5.0E05 were considered. The simulated impact pressure maximum plotted against the normal velocity of incidence shows a power law type behavior that is quite insensitive to the density ratio of the two fluids. The relationship between the velocity of the sloshing wave front and resultant pressure obtained from an experiment was found to be well predicted by the power law relationship for the liquid droplet impact.",
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    Repalle, N, Thiagarajan, K & Kantharaj, M 2015, Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall. in Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering. vol. 11, pp. 1-7, ASME International Conference on Ocean, Offshore and Arctic Engineering, 1/01/11. https://doi.org/10.1115/OMAE2015-41022

    Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall. / Repalle, N.; Thiagarajan, Krish; Kantharaj, M.

    Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering. Vol. 11 2015. p. 1-7.

    Research output: Chapter in Book/Conference paperConference paper

    TY - GEN

    T1 - Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall

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    N2 - © 2015 by ASME. This research arose from the need to understand the behavior of impact pressure caused by droplets formed during liquid sloshing in a tank. The two phase problem of a cylindrical liquid droplet of diameter D surrounded by a lighter fluid medium, impacting at some angle on a solid wall is studied. The incompressible two-dimensional continuity and Navier Stokes equations are solved by a two-step projection predictor-corrector algorithm, with a third-order Total Variation Diminishing (TVD) Runge-Kutta method for time stepping. The interface of the droplet is tracked by the zero contour of a level set function, which is allowed to evolve over time. Numerical simulation of impact pressure was found to agree well with the measured pressures, in particular at lower droplet velocities where compressibility effects can be ignored. A parametric study was conducted with a droplet of diameter 0.01 m traveling at four different impact angles between 45-90°. Velocities from 3.0-6.0 m/s, corresponding to Reynolds numbers from 2.9E05-4.8E05, and Weber numbers 1.25E04-5.0E05 were considered. The simulated impact pressure maximum plotted against the normal velocity of incidence shows a power law type behavior that is quite insensitive to the density ratio of the two fluids. The relationship between the velocity of the sloshing wave front and resultant pressure obtained from an experiment was found to be well predicted by the power law relationship for the liquid droplet impact.

    AB - © 2015 by ASME. This research arose from the need to understand the behavior of impact pressure caused by droplets formed during liquid sloshing in a tank. The two phase problem of a cylindrical liquid droplet of diameter D surrounded by a lighter fluid medium, impacting at some angle on a solid wall is studied. The incompressible two-dimensional continuity and Navier Stokes equations are solved by a two-step projection predictor-corrector algorithm, with a third-order Total Variation Diminishing (TVD) Runge-Kutta method for time stepping. The interface of the droplet is tracked by the zero contour of a level set function, which is allowed to evolve over time. Numerical simulation of impact pressure was found to agree well with the measured pressures, in particular at lower droplet velocities where compressibility effects can be ignored. A parametric study was conducted with a droplet of diameter 0.01 m traveling at four different impact angles between 45-90°. Velocities from 3.0-6.0 m/s, corresponding to Reynolds numbers from 2.9E05-4.8E05, and Weber numbers 1.25E04-5.0E05 were considered. The simulated impact pressure maximum plotted against the normal velocity of incidence shows a power law type behavior that is quite insensitive to the density ratio of the two fluids. The relationship between the velocity of the sloshing wave front and resultant pressure obtained from an experiment was found to be well predicted by the power law relationship for the liquid droplet impact.

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    EP - 7

    BT - Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering

    ER -

    Repalle N, Thiagarajan K, Kantharaj M. Insights into sloshing impact pressures through level set modeling of liquid droplet impacting a wall. In Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering. Vol. 11. 2015. p. 1-7 https://doi.org/10.1115/OMAE2015-41022