Problem 1. Compare the thermal boundary layer thickness with the hydrodynamic (momentum) boundary layer thickness for each of the following situations. In other words, tell whether the thermal or the hydrodynamic boundary layer is larger than the other for each of the below scenarios. a) The surface of a plate is maintained at 50°C and has an area of 2 m² on one side. The plate stays in ambient wind blowing at a velocity of 5 m/s and at a temperature of 25°C. Physical properties of air: Cp = 1010 J/kg.K, k = 0.026 W/m.K, and u = 1.9x10-5 kg/m.s. b) A spherical catalyst that has a diameter of 1 mm is kept at 90°C. It is surrounded by aqueous solution which is flowing at a velocity of 1 m/s and at a temperature of 50°C. Assume that the properties of the solution can be approximated by those of pure water at the same temperature. Physical properties of water at 50°C: Cp=4180 J/kg.K, k = 0.645 W/m.K, and u = 5.65x10-4 kg/m.s.

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
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Chapter1: Introduction
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Problem 1. Compare the thermal boundary layer thickness with the hydrodynamic (momentum)
boundary layer thickness for each of the following situations. In other words, tell whether the
thermal or the hydrodynamic boundary layer is larger than the other for each of the below
scenarios.
a) The surface of a plate is maintained at 50°C and has an area of 2 m² on one side. The
plate stays in ambient wind blowing at a velocity of 5 m/s and at a temperature of 25°C.
Physical properties of air: Cp 1010 J/kg.K, k = 0.026 W/m.K, and μ = 1.9x105 kg/m.s.
b) A spherical catalyst that has a diameter of 1 mm is kept at 90°C. It is surrounded by
aqueous solution which is flowing at a velocity of 1 m/s and at a temperature of 50°C.
Assume that the properties of the solution can be approximated by those of pure water at
the same temperature. Physical properties of water at 50°C: Cp=4180 J/kg.K, k = 0.645
W/m.K, and μ = 5.65x10-4 kg/m.s.
Transcribed Image Text:Problem 1. Compare the thermal boundary layer thickness with the hydrodynamic (momentum) boundary layer thickness for each of the following situations. In other words, tell whether the thermal or the hydrodynamic boundary layer is larger than the other for each of the below scenarios. a) The surface of a plate is maintained at 50°C and has an area of 2 m² on one side. The plate stays in ambient wind blowing at a velocity of 5 m/s and at a temperature of 25°C. Physical properties of air: Cp 1010 J/kg.K, k = 0.026 W/m.K, and μ = 1.9x105 kg/m.s. b) A spherical catalyst that has a diameter of 1 mm is kept at 90°C. It is surrounded by aqueous solution which is flowing at a velocity of 1 m/s and at a temperature of 50°C. Assume that the properties of the solution can be approximated by those of pure water at the same temperature. Physical properties of water at 50°C: Cp=4180 J/kg.K, k = 0.645 W/m.K, and μ = 5.65x10-4 kg/m.s.
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