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.
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
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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For (ii) I've made half of it but don't know how to continue, can you help me?

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

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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