A microfluidic device is used for cell culturing. A water-based growth medium with p = 1021 kg/m³ and μ = 0.00015 Pa*s is pumped through a pump that has an outlet pressure of 18,000 Pa. After the pump, a 60-cm long hydraulically-smooth pipe with a 1.5 mm diameter connects the pump to the device. The pressure at the entrance of the device is 16,300 Pa. Use the 3- piece model of the universal velocity profile to determine the following: a) The thickness of the laminar sublayer in mm b) The velocity at the center of the pipe in m/s c) The mean velocity (in m/s) and total volumetric flow rate (in mL/s)
A microfluidic device is used for cell culturing. A water-based growth medium with p = 1021 kg/m³ and μ = 0.00015 Pa*s is pumped through a pump that has an outlet pressure of 18,000 Pa. After the pump, a 60-cm long hydraulically-smooth pipe with a 1.5 mm diameter connects the pump to the device. The pressure at the entrance of the device is 16,300 Pa. Use the 3- piece model of the universal velocity profile to determine the following: a) The thickness of the laminar sublayer in mm b) The velocity at the center of the pipe in m/s c) The mean velocity (in m/s) and total volumetric flow rate (in mL/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
Section: Chapter Questions
Problem 1.1P
Question
![A microfluidic device is used for cell culturing. A water-based growth medium with p = 1021
kg/m³ and μ = 0.00015 Pa*s is pumped through a pump that has an outlet pressure of 18,000
Pa. After the pump, a 60-cm long hydraulically-smooth pipe with a 1.5 mm diameter connects
the pump to the device. The pressure at the entrance of the device is 16,300 Pa. Use the 3-
piece model of the universal velocity profile to determine the following:
a) The thickness of the laminar sublayer in mm
b) The velocity at the center of the pipe in m/s
c) The mean velocity (in m/s) and total volumetric flow rate (in mL/s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b2cc01-d98b-4aa5-b962-f89c9ca3fc1a%2F10ca9479-1f64-4428-8b9c-4de771215002%2Fkzz0ft_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A microfluidic device is used for cell culturing. A water-based growth medium with p = 1021
kg/m³ and μ = 0.00015 Pa*s is pumped through a pump that has an outlet pressure of 18,000
Pa. After the pump, a 60-cm long hydraulically-smooth pipe with a 1.5 mm diameter connects
the pump to the device. The pressure at the entrance of the device is 16,300 Pa. Use the 3-
piece model of the universal velocity profile to determine the following:
a) The thickness of the laminar sublayer in mm
b) The velocity at the center of the pipe in m/s
c) The mean velocity (in m/s) and total volumetric flow rate (in mL/s)
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