Velocity profile V: (y) Figure 2 A sketch of Newtonian fluid in falling film Consider a laminar Newtonian liquid with viscosity, u and density, p flows down an inclined flat plate of length, L and width, W. The liquid flows as a falling film under the influence of gravity as illustrated in Figure 2. End effects may be neglected because L and W are large compared to the film thickness w. i) List the postulates. ii) Derive the velocity distribution of the fluid, v, as a function of y using equation of motion in Appendix 1.

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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Velocity profile
V: (y)
Figure 2 A sketch of Newtonian fluid in falling film
c) Consider a laminar Newtonian liquid with viscosity, u and density, p flows down an
inclined flat plate of length, L and width, W. The liquid flows as a falling film under the
influence of gravity as illustrated in Figure 2. End effects may be neglected
because L and W are large compared to the film thickness w.
i) List the postulates.
ii) Derive the velocity distribution
motion in Appendix 1.
the fluid, vz as a function of y using equation of
Transcribed Image Text:Velocity profile V: (y) Figure 2 A sketch of Newtonian fluid in falling film c) Consider a laminar Newtonian liquid with viscosity, u and density, p flows down an inclined flat plate of length, L and width, W. The liquid flows as a falling film under the influence of gravity as illustrated in Figure 2. End effects may be neglected because L and W are large compared to the film thickness w. i) List the postulates. ii) Derive the velocity distribution motion in Appendix 1. the fluid, vz as a function of y using equation of
Date: ..
No:
In terms of t
Equation of motion
-dp
dv +Ve dVx + Vy dV
de
dVx + Vz
dy
Txx+ d Tyx + d T2x
/dx
dz
dx
-Ta +pg
dy
-dp-fd Txy + d Ty
+ d Try
dvg + Vx dyy + Vy dy + Vz dNy
Lax
dy
dt
/dx
dy
/d2
dy
十
p dv, +V Nz + Vy dVz + Vz dVz \= -dp-[d tsz +d Tyz +d_tzz
/ dz
dx
dz dx
dy
十
O = -dP -d Tyz +pgy
d Zyz+pgy
dy
dy
-dp - d Tyz+ pg cas a
dy dy
Boundary condihon
y=0
gas-liquid boundary , Tyz
Cyz = 0
%3D
y=S
I liquid -solid boundary, Vz =0
%3D
Transcribed Image Text:Date: .. No: In terms of t Equation of motion -dp dv +Ve dVx + Vy dV de dVx + Vz dy Txx+ d Tyx + d T2x /dx dz dx -Ta +pg dy -dp-fd Txy + d Ty + d Try dvg + Vx dyy + Vy dy + Vz dNy Lax dy dt /dx dy /d2 dy 十 p dv, +V Nz + Vy dVz + Vz dVz \= -dp-[d tsz +d Tyz +d_tzz / dz dx dz dx dy 十 O = -dP -d Tyz +pgy d Zyz+pgy dy dy -dp - d Tyz+ pg cas a dy dy Boundary condihon y=0 gas-liquid boundary , Tyz Cyz = 0 %3D y=S I liquid -solid boundary, Vz =0 %3D
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