In an oscillating incompressible flow field the force per unit mass acting on a fluid particle is obtained from Newton's second law in intensive form, F av + (V • Vỹ m at Suppose the characteristic speed and characteristic length for a given flow field are V o and L, respectively. Also suppose that w is a characteristic angular frequency (rad/s) of the oscillation. Define the following nondimensionalized variables, F 1 F t* = wt,x* = L' ‚ỹ = Lỹ, V* = m* w²Lm Nondimensionalize the equation of motion and identify any established (named) dimensionless parameters that may appear.
In an oscillating incompressible flow field the force per unit mass acting on a fluid particle is obtained from Newton's second law in intensive form, F av + (V • Vỹ m at Suppose the characteristic speed and characteristic length for a given flow field are V o and L, respectively. Also suppose that w is a characteristic angular frequency (rad/s) of the oscillation. Define the following nondimensionalized variables, F 1 F t* = wt,x* = L' ‚ỹ = Lỹ, V* = m* w²Lm Nondimensionalize the equation of motion and identify any established (named) dimensionless parameters that may appear.
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:In an oscillating incompressible flow field the force per unit mass acting on a fluid particle is
obtained from Newton's second law in intensive form,
+ (V •V)V
m
at
Suppose the characteristic speed and characteristic length for a given flow field are V o and L,
respectively. Also suppose that w is a characteristic angular frequency (rad/s) of the oscillation.
Define the following nondimensionalized variables,
F*
1 F
t* = w t,x* =
L'
7 = Lỹ,
V*
m*
w²Lm
Nondimensionalize the equation of motion and identify any established (named) dimensionless
parameters that may appear.
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