An air pipe carries cool air at an inlet bulk temperature of 15C and a velocity of 12 m/s. The pipe is made of carbon steel of 0.25 m diameter, it is not insulated, and it( the pipe) will be maintained at temperature of 120C in order to raise the flowing air temperature to 45C. Calculate the Reynolds number, the heat transfer coefficient in W/(m^2K) and the lenght of this pipe in meters. Use Table A.4 to read the air properties. **Table A.4****Properties of Dry Air at Atmospheric Pressure: SI Units**| T (K) | T (°C) | ρ (kg/m³) | β × 10³ (1/K) | Cp (J/kg·K) | k (W/m·K) | α × 10⁶ (m²/s) | μ × 10⁶ (N·s/m²) | ν × 10⁶ (m²/s) | Pr | gβ/ν² × 10⁸ (1/K·m³) ||-------|--------|-----------|---------------|-------------|-----------|---------------|-----------------|---------------|----|---------------------|| 273 | 0 | 1.252 | 3.66 | 1011 | 0.0237 | 19.2 | 17.456 | 13.9 | 0.71 | 1.85 || 293 | 20 | 1.164 | 3.41 | 1012 | 0.0251 | 22.0 | 18.240 | 15.7 | 0.71 | 1.36 || 313 | 40 | 1.092 | 3.19 | 1014 | 0.0265 | 24.8 | 19.123 | 17.6 | 0.71 | 1.01 || 333 | 60 | 1.025 | 3.00 | 1017 | 0.0279 | 27.6 | 19.907 | 19.4 | 0.71 | 0.782 || 353 | 80 | 0.968 | 2.83 | 1019 | 0.0293 | 30.6 | 20.790 | 21.5 | 0.71 | 0.600 || 373 | 100 | 0.916 | 2.68 | 1022 | 0.0307 | 33.6 | 21.673

Answered: An air pipe carries cool air at an…

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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An air pipe carries cool air at an inlet bulk temperature of 15C and a velocity of 12 m/s. The pipe is made of carbon steel of 0.25 m diameter, it is not insulated, and it( the pipe) will be maintained at temperature of 120C in order to raise the flowing air temperature to 45C. Calculate the Reynolds number, the heat transfer coefficient in W/(m^2K) and the lenght of this pipe in meters. Use Table A.4 to read the air properties.

**Table A.4**

**Properties of Dry Air at Atmospheric Pressure: SI Units**

| T (K) | T (°C) | ρ (kg/m³) | β × 10³ (1/K) | Cp (J/kg·K) | k (W/m·K) | α × 10⁶ (m²/s) | μ × 10⁶ (N·s/m²) | ν × 10⁶ (m²/s) | Pr | gβ/ν² × 10⁸ (1/K·m³) |
|-------|--------|-----------|---------------|-------------|-----------|---------------|-----------------|---------------|----|---------------------|
| 273 | 0 | 1.252 | 3.66 | 1011 | 0.0237 | 19.2 | 17.456 | 13.9 | 0.71 | 1.85 |
| 293 | 20 | 1.164 | 3.41 | 1012 | 0.0251 | 22.0 | 18.240 | 15.7 | 0.71 | 1.36 |
| 313 | 40 | 1.092 | 3.19 | 1014 | 0.0265 | 24.8 | 19.123 | 17.6 | 0.71 | 1.01 |
| 333 | 60 | 1.025 | 3.00 | 1017 | 0.0279 | 27.6 | 19.907 | 19.4 | 0.71 | 0.782 |
| 353 | 80 | 0.968 | 2.83 | 1019 | 0.0293 | 30.6 | 20.790 | 21.5 | 0.71 | 0.600 |
| 373 | 100 | 0.916 | 2.68 | 1022 | 0.0307 | 33.6 | 21.673

Expert Solution

Step 1

Inlet bulk temperature of cool air, T_C,i = 15°C

Velocity of cool air, v_C = 12 m/s

Final air temperature, T_C,o = 45°C

Pipe specifications:

Material: Carbon steel

Not insulated

Pipe temperature, T_p = 120°C

Pipe diameter, d_p = 0.25 m

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