For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the followin control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 20 0.01 k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x=0)x exp{- ax} d. C,(x)= C,(x = 0)× exp{- ax}x exp{- by² }x exp{- cz? }x exp{- kt}
For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the followin control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 20 0.01 k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x=0)x exp{- ax} d. C,(x)= C,(x = 0)× exp{- ax}x exp{- by² }x exp{- cz? }x exp{- kt}
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:For the following concentration expressions, indicate whether they are uniform or nonuniform
and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following
control volume and origin, and table of constants, use Excel or Matlab to graph profiles that
show how concentration changes within the control volume and over time to a limit of 20 for
the following: C(x,0,0,0), C(0,y,0,0), c(0,0,z,0) and C(0,0,0,t). On each graph, show which
parameters are held constant, the CV boundaries, and the point where all four plots overlap.
20
C(x=0)
10
a
0.0001
b
0.001
20
0.01
y
k
0.1
100
All of the following functions are C(space, time) and so not necessarily just x as suggested.
a. C,(x)= C,(x = 0)x exp{- ax}
d. C, (x) = C, (x = 0)x exp{-ax}x exp{- by² }x exp{-cz²}x exp{- kt}
Expert Solution
Step 1
here
we need to have clear ideas regarding the parametric relationship of the flow with the parameters
Uniform flow : when the flow does not vary with the spatial parameters
for example
Non uniform flow: When the flow varies with the spatial parameters
where v=velocity p-x,y,z parameters
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