You need to design an experiment to measure the average size of droplets formed by a rocket injector. The actual injector uses kerosene for the fuel, which has the following properties: p=800 kg/m3, μ = 1.6x10-3 kg/(m-s), o = 2.6x10-2 kg/s2. Furthermore, the fuel exits the injector with a velocity of U = 50 m/s and the diameter of the actual injector is D = 6 mm. See the figure below. d droplet diameter d DI = f(Re, We). 0 O D O Your boss tells you to use water in your experiment. You know that the functional relationship for the drop size is given as O Determine, a) the diameter of the experimental injector, in mm, in order to maintain dynamic similarity. b) the velocity of the water at the exit of the injector, in m/s, in order to maintain dynamic similarity. c) If you measure the average drop diameter, d, using the water to be 0.82 mm, what would be the corresponding drop size for the actual rocket iniector, in mm?
You need to design an experiment to measure the average size of droplets formed by a rocket injector. The actual injector uses kerosene for the fuel, which has the following properties: p=800 kg/m3, μ = 1.6x10-3 kg/(m-s), o = 2.6x10-2 kg/s2. Furthermore, the fuel exits the injector with a velocity of U = 50 m/s and the diameter of the actual injector is D = 6 mm. See the figure below. d droplet diameter d DI = f(Re, We). 0 O D O Your boss tells you to use water in your experiment. You know that the functional relationship for the drop size is given as O Determine, a) the diameter of the experimental injector, in mm, in order to maintain dynamic similarity. b) the velocity of the water at the exit of the injector, in m/s, in order to maintain dynamic similarity. c) If you measure the average drop diameter, d, using the water to be 0.82 mm, what would be the corresponding drop size for the actual rocket iniector, in mm?
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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I have the solutions but I'm not sure how to find them.
A) 0.834 mm
B) 201.6 m/s
C) 5.9 mm
Please help me!

Transcribed Image Text:You need to design an experiment to measure the average size of droplets formed by a rocket injector.
The actual injector uses kerosene for the fuel, which has the following properties: p=800 kg/m3, μ =
1.6x10-3 kg/(m-s), o = 2.6x10-2 kg/s2. Furthermore, the fuel exits the injector with a velocity of U = 50
m/s and the diameter of the actual injector is D = 6 mm. See the figure below.
d = droplet diameter
D
#
Your boss tells you to use water in your experiment. You know that the functional relationship for the
drop size is given as
d
f(Re, We).
Determine,
a) the diameter of the experimental injector, in mm, in order to maintain dynamic similarity.
b) the velocity of the water at the exit of the injector, in m/s, in order to maintain dynamic similarity.
c) If you measure the average drop diameter, d, using the water to be 0.82 mm, what would be the
corresponding drop size for the actual rocket injector, in mm?
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