While researching fluid dynamics, you come across a reference to the dimensionless number called the capillary number, given by the equation below.Са3Ywhere:fluid viscosityvelocityg/(m s)] ft sWhat are the dimensions of gamma, y?Click the icon to view the table of fundamental dimensions and base unitsThe dimensions of variable y are(Type a product of fundamental dimensions each indicated with an exponent as needed. Use symbols provided in the table of fundamental dimensions.) UnitDimensionSymbolSymbolLengthLmetermMassМkilogramkgTimeTsecondTemperaturekelvinКAmount of substancemolemolLight intensityJcandelacdElectric currentAampere

Question
Asked Nov 3, 2019

What are the dimensions of​ gamma given the following?

While researching fluid dynamics, you come across a reference to the dimensionless number called the capillary number, given by the equation below.
Са3
Y
where:
fluid viscosity
velocity
g/(m s)
] ft s
What are the dimensions of gamma, y?
Click the icon to view the table of fundamental dimensions and base units
The dimensions of variable y are
(Type a product of fundamental dimensions each indicated with an exponent as needed. Use symbols provided in the table of fundamental dimensions.)
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While researching fluid dynamics, you come across a reference to the dimensionless number called the capillary number, given by the equation below. Са3 Y where: fluid viscosity velocity g/(m s) ] ft s What are the dimensions of gamma, y? Click the icon to view the table of fundamental dimensions and base units The dimensions of variable y are (Type a product of fundamental dimensions each indicated with an exponent as needed. Use symbols provided in the table of fundamental dimensions.)

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Unit
Dimension
Symbol
Symbol
Length
L
meter
m
Mass
М
kilogram
kg
Time
T
second
Temperature
kelvin
К
Amount of substance
mole
mol
Light intensity
J
candela
cd
Electric current
A
ampere
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Image Transcriptionclose

Unit Dimension Symbol Symbol Length L meter m Mass М kilogram kg Time T second Temperature kelvin К Amount of substance mole mol Light intensity J candela cd Electric current A ampere

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check_circleExpert Solution
Step 1

Given equat...

μν
Ca
Y
Given units of "u" is g/m.s
Unit of "v" is ft/s
Given "Ca" is dimension less number
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μν Ca Y Given units of "u" is g/m.s Unit of "v" is ft/s Given "Ca" is dimension less number

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