An aeration tank requires oxygen-rich water to support biologic reactions. The nozzle below is designed to inject oxygen gas into liquid water before it is delivered to the tank. The water enters the nozzle with a fully-developed velocity profile that obeys the Hagen-Poiseuille law (provided in the diagram). The volume flow rate of oxygen into the nozzle is 10 mL/s. The inlet diameter is 50 mm, and the exit diameter is 25 mm. Assume the water and oxygen are immiscible and incompressible in the nozzle. Air may be assumed to behave as an ideal gas. a. Determine a function for the average velocity of the water entering the nozzle. b. Plot the exit velocity of the mixture as a function of the upstream pressure drop, for pressures up to 20 Pa/m. ΔΡ c. Plot the density of the mixture as a function of the upstream pressure drop, L u₁(r) = Di Voz De
An aeration tank requires oxygen-rich water to support biologic reactions. The nozzle below is designed to inject oxygen gas into liquid water before it is delivered to the tank. The water enters the nozzle with a fully-developed velocity profile that obeys the Hagen-Poiseuille law (provided in the diagram). The volume flow rate of oxygen into the nozzle is 10 mL/s. The inlet diameter is 50 mm, and the exit diameter is 25 mm. Assume the water and oxygen are immiscible and incompressible in the nozzle. Air may be assumed to behave as an ideal gas. a. Determine a function for the average velocity of the water entering the nozzle. b. Plot the exit velocity of the mixture as a function of the upstream pressure drop, for pressures up to 20 Pa/m. ΔΡ c. Plot the density of the mixture as a function of the upstream pressure drop, L u₁(r) = Di Voz De
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:An aeration tank requires oxygen-rich water to support biologic reactions. The nozzle
below is designed to inject oxygen gas into liquid water before it is delivered to the
tank. The water enters the nozzle with a fully-developed velocity profile that obeys the
Hagen-Poiseuille law (provided in the diagram). The volume flow rate of oxygen into
the nozzle is 10 mL/s. The inlet diameter is 50 mm, and the exit diameter is 25 mm.
Assume the water and oxygen are immiscible and incompressible in the nozzle. Air
may be assumed to behave as an ideal gas.
a. Determine a function for the average velocity of the water entering the nozzle.
b. Plot the exit velocity of the mixture as a function of the upstream pressure drop,
for pressures up to 20 Pa/m.
ΔΡ
c. Plot the density of the mixture as a function of the upstream pressure drop, L
u₁(r) =
Di
Voz
De
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