Scaling. (a) Considering a spherical particle is moving in a of the particle decreases due to the drag force. Her travel distance until the sphere stops. Given the “s a x Re × D, derive the “a". Assumption: pi =Ps

Elements Of Electromagnetics
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1. Scaling.
(a) Considering a spherical particle is moving in a fluid with initial velocity v. The speed
of the particle decreases due to the drag force. Here we define the “stop distance" as the
travel distance until the sphere stops. Given the “stopping distance" can be expressed as
a x Re × D, derive the "a".
Assumption: pi =ps
(b) Based on the equation, the stopping distance is reduced by Lb. What is that “b"?
r = radius of the sphere
D=diameter of the sphere
v = velocity of the sphere
µ = viscosity of the fluid
P; = density of the fluid
P; = density of the particle
Drag 6πμrν
Transcribed Image Text:1. Scaling. (a) Considering a spherical particle is moving in a fluid with initial velocity v. The speed of the particle decreases due to the drag force. Here we define the “stop distance" as the travel distance until the sphere stops. Given the “stopping distance" can be expressed as a x Re × D, derive the "a". Assumption: pi =ps (b) Based on the equation, the stopping distance is reduced by Lb. What is that “b"? r = radius of the sphere D=diameter of the sphere v = velocity of the sphere µ = viscosity of the fluid P; = density of the fluid P; = density of the particle Drag 6πμrν
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