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Thermocapillary flows in an enclosure of unit order aspect ratio

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1990, Doctor of Philosophy, Case Western Reserve University, Mechanical Engineering.
Steady thermocapillary flows in a two-dimensional rectangular enclosure of unit order aspect ratio are studied for fluids of small, unit order, and large Prandtl numbers. Scaling analysis is applied to obtain velocity and length scales for different flow regimes along with the dimensionless parameters that define these regimes. The scaling analysis in this work is for the entire range of the Reynolds number and the influence of the flow on the driving force, which leads to a change in the thermal signature, is also incorporated. Numerical simulations are performed and agreements are found between the results from the scaling analysis and the results from the numerical simulations. The analysis also predicts the behavior of the thermocapillary flow in the range of Marangoni number at which present numerical schema are incapable of simulating.
Simon Ostrach (Advisor)
132 p.

Recommended Citations

Citations

  • Hu, D. (1990). Thermocapillary flows in an enclosure of unit order aspect ratio [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1055182656

    APA Style (7th edition)

  • Hu, Didi. Thermocapillary flows in an enclosure of unit order aspect ratio. 1990. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1055182656.

    MLA Style (8th edition)

  • Hu, Didi. "Thermocapillary flows in an enclosure of unit order aspect ratio." Doctoral dissertation, Case Western Reserve University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=case1055182656

    Chicago Manual of Style (17th edition)