How do I plot z = f(x,y) in 2D cartezian coordinates ?

  • Thread starter Thread starter Guest
  • Start date Start date
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Guest

"Z" factor that I want to plot is a function of temperature and pressure. z
=f(p,t)
Is it possible to plot "Z" values in a pressure - temperature 2D graph by
adding a secondary vertical axis?

Thanks

Tim
 
"Z" factor that I want to plot is a function of temperature and pressure. z
=f(p,t)
Click to expand...

_3D Surface Chart_ will get you a sort of contour plot, but the x and y
scales are category scales, so you'll have to be careful choosing your x
and y values.

Alternatively, you could make an _XY (Scatter) Chart_, using the
built-in y axis as your z axis, and plot a number of XZ curves to show
the evolution of the function z=f(x,y) for various values of y. Create a
dummy series with invisible markers and visible data labels, to be the
labels for the different curves.

What's the function?
 
Thank you for the quick answer,

Before posting here I tried with _3D Surface Chart_ but no success. I will
try with second method described from you (However, if you have the time can
you pleaaaase be more descriptive in the re. this method)


The fuction that I am truin to plot is called Gas compressibility factor
"Z", Can be calculated with Brill and Beggs or Hall-Yarborogh correlation.

Tim
 
Before posting here I tried with _3D Surface Chart_ but no success. I will
try with second method described from you (However, if you have the time can
you pleaaaase be more descriptive in the re. this method)
Click to expand...

It's just several XY lines on one XY chart, each one with a different
value of the second independent variable (temperature or pressure, as
you prefer). You should see examples in textbooks on subjects like
thermodynamics, where the text is illustrating some dependent variable
that is a function of two independent variables. Here your y-value is Z,
your x-value is temperature (or pressure) and your series are different
values of pressure (or temperature). It ends up looking like a black and
white contour map of the two-dimensional surface of the function.
The fuction that I am truin to plot is called Gas compressibility factor
"Z", Can be calculated with Brill and Beggs or Hall-Yarborogh correlation.
Click to expand...

I meant the equation and some sample coefficients.
 
Corelations are long and cannot be put in one formula.
Below are Hall-Yarborogh steps used to come to the result:

INPUT DATA:
T 68 oF
p 1000 psia
SGFG 0.5 air=1

CALCULATE CRITICAL AND REDUCED TEMPERATURE AND PRESSURE:
Tpc=169.0+314.0*SGFG Ppc=708.75-57.5*SGFG
Tpr=(T+460.0)/Tpc t=1/Tpr
Ppr=p/Ppc


CALCULATE TEMPERATURE DEPENDENT TERMS:
A=0.06125*t*EXP(-1.2*(1.-t**2)
B=t*(14.76-9.76*t+4.58*t*t)
C=t*(90.7-242.2*t+42.4*t*t)
D=2.18+2.82*t


CALCULATE REDUCED DENSITY Y
Y = ASSUMED 0.324006985
F=-A*Ppr+(Y+Y*Y+Y**3-Y**4)/(1.-Y)**3-B*Y*Y+C*Y**D
USE goal seek MACRO SOLUTION: goal seek (F) = 0 by changing (Y)

CALCULATE Z-FACTOR:

Z=A*Ppr/Y
 
How do I calculate the z factor automatically by using Hall-Yarborogh equation without changing (Y) every time to reach F=0 ?
if any body know .please answer me.

Thank you very much

khalid



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