How do I plot a log log graph using this equations?

[davekardle]

(HgAh)=ChG^mL^n
(HdAm)=CmG^pL^q


I need to plot (HgAh) and (HdAm) As Fuction of G( Gas flow rate) with lines of Constant L( Liquid flow rate) and discern M and P from the equations above from Log Log Graphs.

I have collected a table of raw data with Various G at constant L.

How do I proceed?

 

[fuchs]

It depends on the software you have available.
I can recommend gnuplot. It's free, it's good, and it's a standard tool.

 

[davekardle]

It depends on the software you have available.
I can recommend gnuplot. It's free, it's good, and it's a standard tool.

Can't I just do it on excel ?
I don't undersntand how to get P and M from these equations by taking the log

log (hG aH) = log (Ch G^m L^n)

and

log ( hD aM) = log (Cm G^p L^q)

any idea?

 

[davekardle]

I already have all the HdAm and HgAh for various Gas and Liquid flowrates

 

[CellCoree]

To plot a log log graph using these equations, you will first need to convert the equations into a logarithmic form. This can be done by taking the log of both sides of each equation. For example, for the first equation (HgAh)=ChG^mL^n, you can take the log on both sides to get log(HgAh) = log(ChG^mL^n). Using logarithm rules, this can be simplified to log(HgAh) = log(C) + m*log(G) + n*log(L). Similarly, you can take the log of the second equation to get log(HdAm) = log(CmG^pL^q) = log(Cm) + p*log(G) + q*log(L).

Once you have converted the equations into their logarithmic form, you can plot them on a log log graph. The x-axis will represent log(G) and the y-axis will represent log(HgAh) or log(HdAm). You can then plot the data points from your table on this graph and connect them with a line. This line will represent the constant L values.

To discern the values of m and p from the equations, you can use the slope of the line on the log log graph. The slope of the line will be equal to m or p. Similarly, you can discern the values of n and q by looking at the y-intercept of the line, which will be equal to log(C) or log(Cm).

In summary, to plot a log log graph using these equations, you will need to convert them into their logarithmic form, plot the data points on the graph and connect them with a line representing the constant L values. You can then use the slope and y-intercept of the line to discern the values of the variables in the equations.