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Oscillatory natural convection of a liquid metal enclosed in a right circular cylinder heated from below

Platt, Jonathan Andrew
http://rave.ohiolink.edu/etdc/view?acc_num=case1055778876

Abstract Details

1991, Doctor of Philosophy, Case Western Reserve University, Mechanical Engineering.
An experimental study is made of natural convection oscillations in gallium melts enclosed by right circular cylinders with differentially heated end walls. Heated-from-below cases are examined for angles of inclination ranging from 0° (vertical) to 75°, with aspect ratios cal A (height/radius) of 2, 4, and 6 and Rayleigh numbers (based on radius) ranging from 500 to 10,000. Temperature measurements are made at three levels along the circumference of the cylinder enclosing the gallium to detect the oscillations. Critical Rayleigh numbers for the onset of oscillations are found to be invariant to changes in aspect ratio for aspect ratios 4 and 6 at all angles of inclination. The experiments confirm predictions from scaling analysis that frequencies for these oscillations scale with the square root of the Rayleigh number. A parameter is found to relate the cal A = 4 and cal A = 6 frequencies at different values of tilt angle φ. For cal A = 6, 5° ≤ φ ≤ 20° a range of supercritical Rayleigh numbers is found where oscillations disappear or are greatly reduced in amplitude. Measurements are also made of temperature magnitudes for aspect ratios 2 and 6 in vertical and 1 0°-inclined cases. Results for the inclined cases were consistent with steady, unicellular convection. Although no conclusions could be drawn for the cal A = 6 vertical case, the cal A = 2 vertical case indicates some effects of convection below the critical Rayleigh number for onset of oscillation.
Ostrach Simon (Advisor)
147 p.
Engineering, Mechanical
Oscillatory natural convection; liquid metal; enclosed; right circular cylinder; heated

Recommended Citations

Citations

  • Platt, J. A. (1991). Oscillatory natural convection of a liquid metal enclosed in a right circular cylinder heated from below [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1055778876

    APA Style (7th edition)

  • Platt, Jonathan. Oscillatory natural convection of a liquid metal enclosed in a right circular cylinder heated from below. 1991. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1055778876.

    MLA Style (8th edition)

  • Platt, Jonathan. "Oscillatory natural convection of a liquid metal enclosed in a right circular cylinder heated from below." Doctoral dissertation, Case Western Reserve University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=case1055778876

    Chicago Manual of Style (17th edition)

case1055778876
517
© 1991, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.