Calculating the circulation given specific parameters

I am trying to calculate the circulation using the following code. Although the code works, the calculated data doesn't make sense as I get a linear plot. I would also like to create a image plot, if possible. Any help would be greatful!
close all;
clear all;
clc;
h = 200; % height of stack in meters
z = (0:10); % average wind in the vertical
mr = 2.5; % mean mixing ratio
sigmaz = z*mr; %vertical mixing
dt = (24:72)*60*60; %change in time
for i = 1:length(z)
for j = 1:length(dt)
c = exp(-(z+h).^2.)/((2*sigmaz.^2))./dt;
end
end
plot((1:numel(dt)),(1:numel(c)))

4 个评论

What's the definition of "circulation" in this context ?
And your plot command
plot((1:numel(dt)),(1:numel(c)))
means that you plot (1:49) against (1:49) without using the values calculated for c. This doesn't make sense.
are you sure of the c formula? exp(- larger number) is closer to zero
You were correct, I made an error.
However, perhaps you can help me. I changed the equation to include either:
C = (2./pi).^1/2.*(Q./sigmaz.*meanu.*W.*dt) or C = Q./meanu.*h.*W.*sigmaz.*dt
and the surf plot provided by Matt J doesn't work. Any ideas?
Never mind, I figured out what I did wrong.

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 采纳的回答

Perhaps this is what you meant. The expression for c looks like it's supposed to be Gaussian, and the double for-loop suggests this is supposed to be a surface plot.
h = 200; % height of stack in meters
z = (0:10); % average wind in the vertical
mr = 2.5; % mean mixing ratio
sigmaz = z*mr; %vertical mixing
dt = (24:72)'*60*60; %change in time
c = exp( -0.5 * ( (z+h)./sigmaz).^2 )./dt;
surf(z,dt,c)

3 个评论

+1 like always, awesome interpration and like the way you used vector expansion without the use of meshgrid()
@Matt J it is indeed Gaussian. I narrowed down the equation that spoke of dispersion to only account for the upper-levels insteand of the surface. This is an attempt for me to conduct a study of aerosols in the upper-levels at a given depth in the arctic (Master's degree) when significant snow fall events are taking place.
I like your plots btw! And thank you.
@Matt J, quick question. I had to change the equation to include the full dispersion (mathematicl error) and noticed that when I changed the variable "mr" to either 1 or 3, it gives me a linear plot once again. Could this be an issue with the dimensions?

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