y CA = CAO Concentration Boundary Layer v = voex CA = CAO Velocity Boundary Layer v = voex CA = CA1 L Figure 2: Developments of the velocity and concentration boundary layers for the flow along a horizontal flat plate, for A = 8e/8, > 1. The concentration of A at the surface of the plate is cA1, whilst the concentration of A in the approaching fluid is cA0- a) Starting from the general mass balance equation for component A in Eulerian form (please, refer to the literature), show that the equivalent equation in Lagrangian form reads: D¿CA = DẠ▼ • Vca (2.1) %3D where D; represents the substantial (or material, or Lagrangian) derivative operator, and c4 is the molar concentration of A. Report clearly all the passages.

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
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CA = CAO
Concentration Boundary Layer
v = v,ex
CA = CA0
Velocity Boundary Layer
v = voex
CA = CA1
Figure 2: Developments of the velocity and concentration boundary layers for the flow along a horizontal flat
plate, for A = d./8, > 1. The concentration of A at the surface of the plate is c41, whilst the concentration
of A in the approaching fluid is
CAO.
a) Starting from the general mass balance equation for component A in Eulerian form (please, refer to the
literature), show that the equivalent equation in Lagrangian form reads:
D;CA = DẠV · VcA
(2.1)
where Di represents the substantial (or material, or Lagrangian) derivative operator, and cA
concentration of A. Report clearly all the passages.
is the molar
Transcribed Image Text:CA = CAO Concentration Boundary Layer v = v,ex CA = CA0 Velocity Boundary Layer v = voex CA = CA1 Figure 2: Developments of the velocity and concentration boundary layers for the flow along a horizontal flat plate, for A = d./8, > 1. The concentration of A at the surface of the plate is c41, whilst the concentration of A in the approaching fluid is CAO. a) Starting from the general mass balance equation for component A in Eulerian form (please, refer to the literature), show that the equivalent equation in Lagrangian form reads: D;CA = DẠV · VcA (2.1) where Di represents the substantial (or material, or Lagrangian) derivative operator, and cA concentration of A. Report clearly all the passages. is the molar
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