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1. Radioactive wastes (krw = 20 W/m-K) are stored in a spherical stainless steel container (kss 15 W/m:K) with an inner radius ri = 0.5 m and outer radius ro = 0.65 m. Heat is generated within the wastes at a uniform volumetric rate of ġ = 105 w/m³. The outer surface of the stainless steel container is exposed to a water flow for which the temperature is To and the convection heat transfer coefficient is h = 25°C 1200 W/m2-K. Assume steady-state one- dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel Tso. (c) Evaluate the inner surface temperature of the stainless steel Tsi-

1. Radioactive wastes (krw = 20 W/m-K) are stored in a spherical stainless steel container (kss 15 W/m:K) with an inner radius ri = 0.5 m and outer radius ro = 0.65 m. Heat is generated within the wastes at a uniform volumetric rate of ġ = 105 w/m³. The outer surface of the stainless steel container is exposed to a water flow for which the temperature is To and the convection heat transfer coefficient is h = 25°C 1200 W/m2-K. Assume steady-state one- dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel Tso. (c) Evaluate the inner surface temperature of the stainless steel Tsi-

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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1. **Heat Transfer in Radial Systems** Radioactive wastes (\(k_{\text{rw}} = 20 \, \text{W/m} \cdot \text{K}\)) are stored in a spherical stainless steel container (\(k_{\text{ss}} = 15 \, \text{W/m} \cdot \text{K}\)) with an inner radius \(r_i = 0.5 \, \text{m}\) and outer radius \(r_o = 0.65 \, \text{m}\). Heat is generated within the wastes at a uniform volumetric rate of \(\dot{q} = 10^5 \, \text{W/m}^3\). The outer surface of the stainless steel container is exposed to a water flow where the temperature is \(T_{\infty} = 25^\circ \text{C}\) and the convection heat transfer coefficient is \(h = 1200 \, \text{W/m}^2 \cdot \text{K}\). Assume steady-state one-dimensional radial heat transfer. (a) **Determine the rate of heat transfer.** (b) **Evaluate the outer surface temperature of the stainless steel \(T_{so}\).** (c) **Evaluate the inner surface temperature of the stainless steel \(T_{si}\).**
Transcribed Image Text:1. **Heat Transfer in Radial Systems** Radioactive wastes (\(k_{\text{rw}} = 20 \, \text{W/m} \cdot \text{K}\)) are stored in a spherical stainless steel container (\(k_{\text{ss}} = 15 \, \text{W/m} \cdot \text{K}\)) with an inner radius \(r_i = 0.5 \, \text{m}\) and outer radius \(r_o = 0.65 \, \text{m}\). Heat is generated within the wastes at a uniform volumetric rate of \(\dot{q} = 10^5 \, \text{W/m}^3\). The outer surface of the stainless steel container is exposed to a water flow where the temperature is \(T_{\infty} = 25^\circ \text{C}\) and the convection heat transfer coefficient is \(h = 1200 \, \text{W/m}^2 \cdot \text{K}\). Assume steady-state one-dimensional radial heat transfer. (a) **Determine the rate of heat transfer.** (b) **Evaluate the outer surface temperature of the stainless steel \(T_{so}\).** (c) **Evaluate the inner surface temperature of the stainless steel \(T_{si}\).**
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