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An igloo is built in the shape of a hemisphere, with an

Introduction to Heat Transfer | 6th Edition | ISBN: 9780470501962 | Authors: Theodore L. Bergman ISBN: 9780470501962 111

Solution for problem 4.33 Chapter 4

Introduction to Heat Transfer | 6th Edition

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Introduction to Heat Transfer | 6th Edition | ISBN: 9780470501962 | Authors: Theodore L. Bergman

Introduction to Heat Transfer | 6th Edition

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Problem 4.33

An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo, the surface heat transfer coefficient is 6 W/m2 K; on the outside, under normal wind conditions, it is 15 W/m2 K. The thermal conductivity of compacted snow is 0.15 W/mK. The temperature of the ice cap on which the igloo sits is 20C and has the same thermal conductivity as the compacted snow (a) Assuming that the occupants body heat provides a continuous source of 320 W within the igloo, calculate the inside air temperature when the outside air temperature is T 40C. Be sure to consider heat losses through the floor of the igloo. (b) Using the thermal circuit of part (a), perform a parameter sensitivity analysis to determine which variables have a significant effect on the inside air temperature. For instance, for very high wind conditions, the outside convection coefficient could double or even triple. Does it make sense to construct the igloo with walls half or twice as thick?

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Definitionb 1.1. Given two integers a and d with d non-zero, we say that d divides a (written d | a) if there is an integer c with a = cd. If no such integer exists, so d does not divide a, we write d - a. If d divides a, we say that d is a divisor of a. Proposition 1.2.1: Assume that a, b, and c are integers. If a | b and b | c, then a | c. Proposition 1.3. Assume that a, b, d, x, and y are integers. If d | a and d | b then d | ax + by. Corollary 1.4. Assume that a, b, and d are integers. If d | a and d | b, then d | a + b and d | a − b. Prime: A prime number is an integer p ≥ 2 whose only divisors are 1 and p. A composite number is an integer n ≥ 2 that is not prime. Ex: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. The Division Algorithm: Let a and b be integers with b > 0. Then there exist

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Chapter 4, Problem 4.33 is Solved
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Textbook: Introduction to Heat Transfer
Edition: 6
Author: Theodore L. Bergman
ISBN: 9780470501962

The full step-by-step solution to problem: 4.33 from chapter: 4 was answered by , our top Engineering and Tech solution expert on 09/27/17, 04:59PM. Introduction to Heat Transfer was written by and is associated to the ISBN: 9780470501962. This full solution covers the following key subjects: . This expansive textbook survival guide covers 13 chapters, and 1422 solutions. This textbook survival guide was created for the textbook: Introduction to Heat Transfer, edition: 6. Since the solution to 4.33 from 4 chapter was answered, more than 642 students have viewed the full step-by-step answer. The answer to “An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo, the surface heat transfer coefficient is 6 W/m2 K; on the outside, under normal wind conditions, it is 15 W/m2 K. The thermal conductivity of compacted snow is 0.15 W/mK. The temperature of the ice cap on which the igloo sits is 20C and has the same thermal conductivity as the compacted snow (a) Assuming that the occupants body heat provides a continuous source of 320 W within the igloo, calculate the inside air temperature when the outside air temperature is T 40C. Be sure to consider heat losses through the floor of the igloo. (b) Using the thermal circuit of part (a), perform a parameter sensitivity analysis to determine which variables have a significant effect on the inside air temperature. For instance, for very high wind conditions, the outside convection coefficient could double or even triple. Does it make sense to construct the igloo with walls half or twice as thick?” is broken down into a number of easy to follow steps, and 185 words.

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An igloo is built in the shape of a hemisphere, with an