A circular (annular) fin of radius r2 is attached to a pipe of radius r1. The fin is exposed to an ambient fluid at temperature T∞ having heat transfer coefficient h and the fin base is maintained at temperature Tb. The fin thickness (t) is small compared to the fin length and the heat loss from the fin tip can be considered negligible compared with that from the top and bottom surfaces of the fin. Derive the differential equation and the boundary conditions for this fin by writing an energy balance around a differential volume element. Write your assumptions in detail. Do not solve the differential equation.
A circular (annular) fin of radius r2 is attached to a pipe of radius r1. The fin is exposed to an ambient fluid at temperature T∞ having heat transfer coefficient h and the fin base is maintained at temperature Tb. The fin thickness (t) is small compared to the fin length and the heat loss from the fin tip can be considered negligible compared with that from the top and bottom surfaces of the fin. Derive the differential equation and the boundary conditions for this fin by writing an energy balance around a differential volume element. Write your assumptions in detail. Do not solve the differential equation.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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A circular (annular) fin of radius r2 is attached to a pipe of radius r1. The fin is exposed to an ambient fluid at temperature T∞ having heat transfer coefficient h and the fin base is maintained at temperature Tb. The fin thickness (t) is small compared to the fin length and the heat loss from the fin tip can be considered negligible compared with that from the top and bottom surfaces of the fin. Derive the differential equation and the boundary conditions for this fin by writing an energy balance around a differential volume element. Write your assumptions in detail. Do not solve the differential equation.
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