Small spherical particles of diameter D50 m containa
Chapter 5, Problem 5.17(choose chapter or problem)
Small spherical particles of diameter D?50 ?m containa fluorescent material that, when irradiated with whitelight, emits at a wavelength corresponding to the mater-ials temperature. Hence the color of the particle varieswith its temperature. Because the small particles are neu-trally buoyantin liquid water, a researcher wishes to usethem to measure instantaneous local water temperaturesin a turbulent flow by observing their emitted color. If the particles are characterized by a density, specificheat, and thermal conductivity of ??999 kg/m3,k?1.2 W/m?K, and cp?1200 J/kg?K, respectively, determine the time constant of the particles. Hint: Sincethe particles travel with the flow, heat transfer betweenthe particle and the fluid occurs by conduction. Assumelumped capacitance behavior.
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