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2. Air at 50°C and essentially atmospheric pressure is flowing through a 10 cm x 10 cm rectangular duct at a velocity of 10 m/s. If the wall temperature of the duct is 25 °C, and the length of the duct is 50 m, calculate the drop in the air temperature.

2. Air at 50°C and essentially atmospheric pressure is flowing through a 10 cm x 10 cm rectangular duct at a velocity of 10 m/s. If the wall temperature of the duct is 25 °C, and the length of the duct is 50 m, calculate the drop in the air temperature.

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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2. Air at 50°C and essentially atmospheric pressure is flowing through a 10 cm x 10 cm rectangular duct at a velocity of 10 m/s. If the wall temperature of the duct is 25 °C, and the length of the duct is 50 m, calculate the drop in the air temperature.
Transcribed Image Text:2. Air at 50°C and essentially atmospheric pressure is flowing through a 10 cm x 10 cm rectangular duct at a velocity of 10 m/s. If the wall temperature of the duct is 25 °C, and the length of the duct is 50 m, calculate the drop in the air temperature.
Expert Solution
Step 1

Given that-

Length of duct, L=50 m

Average velocity, vavg=10 m/s

Wall temperature, Ts=250C

Cross-sectional area of duct, A=10cm x10cm =0.1mx0.1m=0.01 m2

Hence, the perimeter of the duct is-

P=2×(0.1 m+0.1 m)=0.4 m

The initial temperature of air, Ti=500C

The properties of air ( from standard data)-

ρ=1.127 kg/m3CP=1007 J/kg0Ck=0.02662 W/m0CPr=0.7255v=1.702 ×10-5 m2/s

 Further, the characteristic length is calculated as-

Dh=4AP=4×0.01 m20.4 m=0.1 m

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