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Instability and Breakup of Non-Newtonian Viscoelastic Liquid Jets

Sai Ramesh, Prassanna

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2012, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
A mathematical model for predicting the breakup length and resultant drop size for a liquid jet emanating from an orifice into a gaseous atmosphere is presented in this thesis. The non-Newtonian viscoelastic liquids are considered owing to their importance in a variety of engineering applications. The viscoelastic liquid rheology is characterized by the Jeffrey's equation. Results for a Newtonian jet are obtained by making the viscoelastic time constants zero in the model. Furthermore, when the liquid viscosity is neglected in the model, the behavior of an inviscid liquid jet can be predicted. The perturbation expansion technique is used to analyze the stability of the liquid jet by imposing a small disturbance on the jet surface and tracking the growth and development of the disturbance. In this temporal analysis, the jet is considered to disintegrate into droplets when the amplitude of the surface disturbance reaches the jet radius. The time taken for the surface deformation to evolve and break the jet, or the breakup time, and the breakup length are calculated. The model is validated by comparing numerical predictions with several theoretical analyses and experimental measurements available in the literature. A parametric study is carried out to investigate the effects of fluid properties (liquid viscosity, liquid elasticity, and time constant ratios), flow conditions (liquid and gas velocities), and disturbance characteristics (initial amplitude and wave number) on the breakup length and resultant drop size. Significant findings are that increase in gas velocity decreases the breakup length and increases the size of the secondary drops formed. Also, jets of higher viscosity liquids have longer breakup lengths. Increasing the liquid elasticity decreases the breakup length and aids in the breakup process. Higher initial disturbance amplitude results in shorter breakup length but the initial amplitude does not significantly affect the resulting drop size.
Milind Jog, PhD (Committee Chair)
Shaaban Abdallah, PhD (Committee Member)
Raj Manglik, PhD (Committee Member)
110 p.

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Citations

  • Sai Ramesh, P. (2012). Instability and Breakup of Non-Newtonian Viscoelastic Liquid Jets [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1337717825

    APA Style (7th edition)

  • Sai Ramesh, Prassanna. Instability and Breakup of Non-Newtonian Viscoelastic Liquid Jets. 2012. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1337717825.

    MLA Style (8th edition)

  • Sai Ramesh, Prassanna. "Instability and Breakup of Non-Newtonian Viscoelastic Liquid Jets." Master's thesis, University of Cincinnati, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1337717825

    Chicago Manual of Style (17th edition)