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One hundred kilograms per second of a hydrocarbon are heated from 20°C to 40°C through the tubes of a multi-tube heat exchanger. Crude oil flow is divided evenly among all 100 tubes without a tube bundle. The inner diameter of each tube is 10 mm and the temperature at the inner wall of the tube is maintained at 100 °C.The thermophysical properties of crude oil at the average temperature are: Specific mass = 850 kg / m3 heat capacity = 1900 J / (kg.K) Conduction coefficient = 0.25 W / (m.K)  Dynamic Viscosity = 0.012 Pa.s To determine: a) The convective coefficient; b) A rate of heat transfer by the convection mechanism; c) The length of the tube.

One hundred kilograms per second of a hydrocarbon are heated from 20°C to 40°C through the tubes of a multi-tube heat exchanger. Crude oil flow is divided evenly among all 100 tubes without a tube bundle. The inner diameter of each tube is 10 mm and the temperature at the inner wall of the tube is maintained at 100 °C.The thermophysical properties of crude oil at the average temperature are: Specific mass = 850 kg / m3 heat capacity = 1900 J / (kg.K) Conduction coefficient = 0.25 W / (m.K)  Dynamic Viscosity = 0.012 Pa.s To determine: a) The convective coefficient; b) A rate of heat transfer by the convection mechanism; c) The length of the tube.

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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One hundred kilograms per second of a hydrocarbon are heated from 20°C to 40°C through the tubes of a multi-tube heat exchanger. Crude oil flow is divided evenly among all 100 tubes without a tube bundle. The inner diameter of each tube is 10 mm and the temperature at the inner wall of the tube is maintained at 100 °C.The thermophysical properties of crude oil at the average temperature are:

  • Specific mass = 850 kg / m3
  • heat capacity = 1900 J / (kg.K)
  • Conduction coefficient = 0.25 W / (m.K) 
  • Dynamic Viscosity = 0.012 Pa.s

To determine:

a) The convective coefficient;

b) A rate of heat transfer by the convection mechanism;

c) The length of the tube.

Expert Solution
Step 1

Given that 

mass flow rate ,mT = 100 kg/s

T1 = 20 C

T2= 40 C

 Crude oil flow is divided evenly among all 100 tubes without a tube bundle

D =  10 mm and the temperature at the inner wall of the tube is maintained at 100 °

  • Specific mass = 850 kg / m3
  • heat capacity,Cp  = 1900 J / (kg.K)
  • Conduction coefficient,K = 0.25 W / (m.K) 
  • Dynamic Viscosity,u  = 0.012 Pa.s
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