For temperature calculation in a gas stream, a thermocouple junction, which can be approximated by a sphere, should be used. The coefficient of convection heat transfer between the surface of the junction and the gas is considered to be 390 W/m?.K. The injection thermal conductivity is 21 W/m.K, the heat capacity is 390 J/kg.K, and the density is 8400 kg/m³. Determine the junction diameter needed to have a time constant of 2 s for the thermocouple. How long would it take for the junction to achieve 190°C if the junction is at 21°C and is put in a gas stream that is at 210°C? For temperature calculation in a gas stream, a thermocouple junction, which can beapproximated by a sphere, should be used. The coefficient of convection heattransfer between the surface of the junction and the gas is considered to be 390W/m?.K. The injection thermal conductivity is 21 W/m.K, the heat capacity is 390J/kg.K, and the density is 8400 kg/m³. Determine the junction diameter needed tohave a time constant of 2 s for the thermocouple. How long would it take for thejunction to achieve 190°C if the junction is at 21°C and is put in a gas stream that isat 210°C?

Answered: For temperature calculation in a gas…

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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For temperature calculation in a gas stream, a thermocouple junction, which can be approximated by a sphere, should be used. The coefficient of convection heat transfer between the surface of the junction and the gas is considered to be 390 W/m?.K. The injection thermal conductivity is 21 W/m.K, the heat capacity is 390 J/kg.K, and the density is 8400 kg/m³. Determine the junction diameter needed to have a time constant of 2 s for the thermocouple. How long would it take for the junction to achieve 190°C if the junction is at 21°C and is put in a gas stream that is at 210°C?

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