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Abstract: In the
diffusion limit, solutions exist for the temperature and velocity fields when isothermal
and no-slip boundary conditions, respectively, are imposed on elliptical surfaces on an
otherwise zero-flux plane of a half-space domain containing far field Dirichlet boundary
conditions. We utilize these results to tabulate thermal and hydrodynamic spreading
resistances on half spaces ... read moreas a function of the aspect ratio of the ellipse and of the
aspect ratio of the ellipse and its orientation, respectively. Then, via computations,
we quantitatively assess the accuracy of these expressions for rectangular isothermal
and no-slip surfaces when the square root of their area is used as a characteristic
length scale to nondimensionalize the spreading resistances. We then provide numerically
computed thermal and hydrodynamic spreading resistances and apparent slip lengths for
elliptical and rectangular surfaces centered on the base of a square, semi-infinite
domain (flux channel).
Thesis (M.S.)--Tufts
University, 2017.
Submitted to the Dept. of
Mechanical Engineering.
Advisor: Marc
Hodes.
Committee: Marc Hodes, Yuri Muzychka, and
Jeffrey Guasto.
Keywords: Mechanical engineering,
and Engineering.read less
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