A velocity distribution is given as V = —-—- bxÔ¸ —-—- byô, s given as V = -—-bxô, ——-byô, + bz8³, where b is a constant and b‡0. Please calculate the work flux (-) associated with molecular motions.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem #2:
A velocity distribution is given as V =
Please calculate the work flux (Iv) associated with molecular motions.
-bx8,-byô, + bz8, where b is a constant and b‡0.
Transcribed Image Text:Problem #2: A velocity distribution is given as V = Please calculate the work flux (Iv) associated with molecular motions. -bx8,-byô, + bz8, where b is a constant and b‡0.
Work Associated with Molecular Motions
▸ Work: W = F ·ƒ
▸ Rate of work (power):
ZA
12
ρυχν
dW
dt
X
=
F
तैर
dr
π =
- = F · V
VS V₂ , + V₂ ₂
- force acting on x-face: x
p+Txx
Tyx
T
dt
ZX
ху
Work: (Txx+P) 2x + Txy Vy + Tx₂ V ₂
TOTECAS (Vx (Tyx) + (P+ Tyy) Vy + Tyz (2₂)
: Vx (Tzx) + (Tzy) Vy + (P. Tzz ) Vz
T
xy
p+Tyy
Tzy
X
T
XZ
B
V.
- energy flux (work) across x- face:
V
Tyz
p+T₂z
Or (p+1)x+xy Vy + 1x₂ V₂ = Work
f
Transcribed Image Text:Work Associated with Molecular Motions ▸ Work: W = F ·ƒ ▸ Rate of work (power): ZA 12 ρυχν dW dt X = F तैर dr π = - = F · V VS V₂ , + V₂ ₂ - force acting on x-face: x p+Txx Tyx T dt ZX ху Work: (Txx+P) 2x + Txy Vy + Tx₂ V ₂ TOTECAS (Vx (Tyx) + (P+ Tyy) Vy + Tyz (2₂) : Vx (Tzx) + (Tzy) Vy + (P. Tzz ) Vz T xy p+Tyy Tzy X T XZ B V. - energy flux (work) across x- face: V Tyz p+T₂z Or (p+1)x+xy Vy + 1x₂ V₂ = Work f
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