A fluid flows through a circular pipe (p = 1000 kg/m³; u = 0.01 kg/m s) with an inner diameter of 3.0 cm. The velocity at the center (Vx∞) of the pipe is measured to be 4.0 m/s. Assume that the velocity in the laminar region of the boundary layer follows the profile vx vxoo The thickness of the boundary layer (in cm) at 0.20 m from the pipe entrance Determine the total volumetric flow rate (m³/s) through the pipe. = sin *Hint: You will need to separately calculate the flow of the boundary sublayer and the bulk fluid flow in the core. Determine the mean velocity (um) through the pipe (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
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A fluid flows through a circular pipe (p = 1000 kg/m³; u = 0.01 kg/m s) with an inner diameter
of 3.0 cm. The velocity at the center (Vx∞) of the pipe is measured to be 4.0 m/s. Assume that
the velocity in the laminar region of the boundary layer follows the profile
vx
vxoo
The thickness of the boundary layer (in cm) at 0.20 m from the pipe entrance
Determine the total volumetric flow rate (m³/s) through the pipe.
= sin
*Hint: You will need to separately calculate the flow of the boundary sublayer and
the bulk fluid flow in the core.
Determine the mean velocity (um) through the pipe (m/s)
Transcribed Image Text:A fluid flows through a circular pipe (p = 1000 kg/m³; u = 0.01 kg/m s) with an inner diameter of 3.0 cm. The velocity at the center (Vx∞) of the pipe is measured to be 4.0 m/s. Assume that the velocity in the laminar region of the boundary layer follows the profile vx vxoo The thickness of the boundary layer (in cm) at 0.20 m from the pipe entrance Determine the total volumetric flow rate (m³/s) through the pipe. = sin *Hint: You will need to separately calculate the flow of the boundary sublayer and the bulk fluid flow in the core. Determine the mean velocity (um) through the pipe (m/s)
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