6th Edition

ISBN: 9780470501962

Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine

Publisher: Wiley, John & Sons, Incorporated

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Chapter 3, Problem 3.156P

Small spherical particles of diameter D = 50 μ m contain a fluorescent material that, when irradiated with white light, emits at a wavelength corresponding to the material’s temperature. Hence the color of the particle varies with its temperature. Because the small particles are neutrally buoyant in liquid water, a researcher wishes to use them to measure instantaneous local water temperatures in a turbulent how by observing their emitted color. If the particles arc characterized by a density, specific heat, and thermal conductivity of ρ = 999 k g / m 3 , k = 1.2 W / m ⋅ K , and c p = 1200 J / k g ⋅ K , respectively, determine the time constant of the particles. Hint: Since the particles travel with the flow, heat transfer between the particle and the fluid occurs by conduction. Assume lumped capacitance behavior.

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Chapter 3, Problem 3.155P

Chapter 3, Problem 3.157P

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Chapter 3 Solutions

Introduction to Heat Transfer

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Solution Summary: The author calculates the heat transfer rates at two surfaces for a wall section of an area A by using the equation Fourier’s law at X=-L.

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Chapter 3 Solutions