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b) A heated sphere of radius R is placed in a large amount of stagnant fluid. Consider the heat conduction in the fluid surrounding the sphere in the absence of convection. The thermal conductivity k of the fluid may be considered constant. The temperature at the sphere surface is TR and the temperature far away from the sphere is Ta. Derive and prove the expression for the temperature, T in the surrounding fluid as a function of r, the distance from the center of the sphere by using shell energy balance equation as shown in Equation 1. List the postulations and assumptions.

b) A heated sphere of radius R is placed in a large amount of stagnant fluid. Consider the heat conduction in the fluid surrounding the sphere in the absence of convection. The thermal conductivity k of the fluid may be considered constant. The temperature at the sphere surface is TR and the temperature far away from the sphere is Ta. Derive and prove the expression for the temperature, T in the surrounding fluid as a function of r, the distance from the center of the sphere by using shell energy balance equation as shown in Equation 1. List the postulations and assumptions.

Introduction to Chemical Engineering Thermodynamics
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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T-Ta R = TR-Ta r Equation 1
Transcribed Image Text:T-Ta R = TR-Ta r Equation 1
b) A heated sphere of radius R is placed in a large amount of stagnant fluid. Consider the heat conduction in the fluid surrounding the sphere in the absence of convection. The thermal conductivity k of the fluid may be considered constant. The temperature at the sphere surface is TR and the temperature far away from the sphere is Ta. Derive and prove the expression for the temperature, T in the surrounding fluid as a function of r, the distance from the center of the sphere by using shell energy balance equation as shown in Equation 1. List the postulations and assumptions.
Transcribed Image Text:b) A heated sphere of radius R is placed in a large amount of stagnant fluid. Consider the heat conduction in the fluid surrounding the sphere in the absence of convection. The thermal conductivity k of the fluid may be considered constant. The temperature at the sphere surface is TR and the temperature far away from the sphere is Ta. Derive and prove the expression for the temperature, T in the surrounding fluid as a function of r, the distance from the center of the sphere by using shell energy balance equation as shown in Equation 1. List the postulations and assumptions.
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