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A turbulent boundary layer is desired for better mass transport into a catalytic surface placed inside a pipe with ID = 12 cm. The catalyst is expensive, so it is only placed at a distance x from the cylindrical pipe entrance. Air (p = 1.3 kg/m³ and µ 1.5 x 105 kg/m's) is flowing with an approximate core fluid velocity, Vxx, of 10.5 m/s. Pipe Entrance = Catalyst-coated pipe a) Determine the distance x (in m) to achieve a turbulent boundary layer and the thickness of the boundary layer (8 in m) at this distance x, assuming a developed turbulent boundary layer. b) Determine the total volumetric flow (Q in m³/s), assuming Vx∞ = 10.5 m/s at distance x. Assume, at this point, the boundary layer is turbulent and follows the profile 31/7 = (²)²/7. vx = vx∞o

A turbulent boundary layer is desired for better mass transport into a catalytic surface placed inside a pipe with ID = 12 cm. The catalyst is expensive, so it is only placed at a distance x from the cylindrical pipe entrance. Air (p = 1.3 kg/m³ and µ 1.5 x 105 kg/m's) is flowing with an approximate core fluid velocity, Vxx, of 10.5 m/s. Pipe Entrance = Catalyst-coated pipe a) Determine the distance x (in m) to achieve a turbulent boundary layer and the thickness of the boundary layer (8 in m) at this distance x, assuming a developed turbulent boundary layer. b) Determine the total volumetric flow (Q in m³/s), assuming Vx∞ = 10.5 m/s at distance x. Assume, at this point, the boundary layer is turbulent and follows the profile 31/7 = (²)²/7. vx = vx∞o

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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A turbulent boundary layer is desired for better mass transport into a catalytic surface placed inside a pipe with ID = 12 cm. The catalyst is expensive, so it is only placed at a distance x from the cylindrical pipe entrance. Air (p = 1.3 kg/m³ and µ 1.5 x 105 kg/m's) is flowing with an approximate core fluid velocity, Vxx, of 10.5 m/s. Pipe Entrance = Catalyst-coated pipe a) Determine the distance x (in m) to achieve a turbulent boundary layer and the thickness of the boundary layer (8 in m) at this distance x, assuming a developed turbulent boundary layer. b) Determine the total volumetric flow (Q in m³/s), assuming Vx∞ = 10.5 m/s at distance x. Assume, at this point, the boundary layer is turbulent and follows the profile 31/7 = (²)²/7. vx = vx∞o
Transcribed Image Text:A turbulent boundary layer is desired for better mass transport into a catalytic surface placed inside a pipe with ID = 12 cm. The catalyst is expensive, so it is only placed at a distance x from the cylindrical pipe entrance. Air (p = 1.3 kg/m³ and µ 1.5 x 105 kg/m's) is flowing with an approximate core fluid velocity, Vxx, of 10.5 m/s. Pipe Entrance = Catalyst-coated pipe a) Determine the distance x (in m) to achieve a turbulent boundary layer and the thickness of the boundary layer (8 in m) at this distance x, assuming a developed turbulent boundary layer. b) Determine the total volumetric flow (Q in m³/s), assuming Vx∞ = 10.5 m/s at distance x. Assume, at this point, the boundary layer is turbulent and follows the profile 31/7 = (²)²/7. vx = vx∞o
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