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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When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a bur…

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Textbook Question

Chapter 4, Problem 4.49P

Consider a one-dimensional fin of uniform cross-sectionalarea, insulated at its tip, x = L . (See Table 3.4,case B). Thetemperature at the base of the fin T b and ofthe adjoining fluid T ∞ , as well as the heat transfer coefficienth and the thermal conductivity k, are known.

Derive the finite-difference equation for any interiornode m.
Derive the finite-difference equation for a node n located at the insulated tip.

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Chapter 4, Problem 4.48P

Chapter 4, Problem 4.50P

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Chapter 4 Solutions

Introduction to Heat Transfer

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Ch. 4 - Prob. 4.11P Ch. 4 - A two-dimensional object is subjected to...Ch. 4 - Prob. 4.13P Ch. 4 - Two parallel pipelines spaced 0.5 m apart are...Ch. 4 - A small water droplet of diameter D=100m and...Ch. 4 - Prob. 4.16P Ch. 4 - Pressurized steam at 450 K flows through a long,...Ch. 4 - Prob. 4.19P Ch. 4 - A furnace of cubical shape, with external...Ch. 4 - Prob. 4.21P Ch. 4 - Prob. 4.22P Ch. 4 - A pipeline, used for the transport of crude oil,...Ch. 4 - A long power transmission cable is buried at a...Ch. 4 - Prob. 4.25P Ch. 4 - A cubical glass melting furnace has exterior...Ch. 4 - Prob. 4.27P Ch. 4 - An aluminum heat sink k=240W/mK, used to coolan...Ch. 4 - Hot water is transported from a cogeneration power...Ch. 4 - Prob. 4.30P Ch. 4 - Prob. 4.31P Ch. 4 - Prob. 4.32P Ch. 4 - An igloo is built in the shape of a hemisphere,...Ch. 4 - Consider the thin integrated circuit (chip) of...Ch. 4 - Prob. 4.35P Ch. 4 - The elemental unit of an air heater consists of a...Ch. 4 - Prob. 4.37P Ch. 4 - Prob. 4.38P Ch. 4 - Prob. 4.39P Ch. 4 - Prob. 4.40P Ch. 4 - Prob. 4.41P Ch. 4 - Determine expressions for...Ch. 4 - Prob. 4.43P Ch. 4 - Prob. 4.44P Ch. 4 - Prob. 4.45P Ch. 4 - Derive the nodal finite-difference equations for...Ch. 4 - Prob. 4.47P Ch. 4 - Prob. 4.48P Ch. 4 - Consider a one-dimensional fin of uniform...Ch. 4 - Prob. 4.50P Ch. 4 - Prob. 4.52P Ch. 4 - Prob. 4.53P Ch. 4 - Prob. 4.54P Ch. 4 - Prob. 4.55P Ch. 4 - Prob. 4.56P Ch. 4 - Steady-state temperatures at selected nodal points...Ch. 4 - Prob. 4.58P Ch. 4 - Prob. 4.60P Ch. 4 - The steady-state temperatures C associated with...Ch. 4 - A steady-state, finite-difference analysis has...Ch. 4 - Prob. 4.64P Ch. 4 - Consider a long bar of square cross section (0.8 m...Ch. 4 - Prob. 4.66P Ch. 4 - Prob. 4.67P Ch. 4 - Prob. 4.68P Ch. 4 - Prob. 4.69P Ch. 4 - Consider Problem 4.69. An engineer desires to...Ch. 4 - Consider using the experimental methodology of...Ch. 4 - Prob. 4.72P Ch. 4 - Prob. 4.73P Ch. 4 - Prob. 4.74P Ch. 4 - Prob. 4.75P Ch. 4 - Prob. 4.76P Ch. 4 - Prob. 4.77P Ch. 4 - Prob. 4.78P Ch. 4 - Prob. 4.79P Ch. 4 - Prob. 4.80P Ch. 4 - Spheres A and B arc initially at 800 K, and they...Ch. 4 - Spheres of 40-mm diameter heated to a uniform...Ch. 4 - To determine which parts of a spiders brain are...Ch. 4 - Prob. 4.84P

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Solution Summary: The author explains the finite difference equation for interior node m.

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Chapter 4 Solutions