Borghi Diagram in MATLAB

Hello, I'm trying to replicate the borghi diagram as follow in MATLAB (with all the annotations shown in the figure below). Is there any easier way to do this? Appreciate your help in advance.

Answer 1

[Kevin Holly]

This is how I would do it. First plot the lines and change the scales to log.

%Plot lines
plot([10 1 .1 10^4],[.1 1 10 10^2.5],'k')
hold on
plot([10^4 1 10^4],[1 1 10],'k')

%Make scale log
set(gca,'xScale','log')
set(gca,'yScale','log')

Then in the figure menu, Insert>Line or Insert>TextBox. You can get rid of edgecolor around box by editing it in the property inspector (Edit>Axes Properties... then select text box)

After you are satisfied with figure, File>Generate Code...

% Create ylabel
ylabel('υ_n^''/S_L','Rotation',0);

% Create xlabel
xlabel({'l/l_F'});


% Create textbox
annotation(gcf,'textbox',...
    [0.54742857142857 0.238095238095239 0.238285714285714 0.0547619047619052],...
    'String',{'wrinkled flamelets'},...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.175 0.192857142857143 0.135714285714284 0.121428571428576],...
    'String',{'laminar','flames'},...
    'HorizontalAlignment','center',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.531357142857142 0.330952380952382 0.290071428571429 0.0547619047619051],...
    'String','corrugated flamelets',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.236714285714284 0.440476190476192 0.104357142857144 0.0547619047619051],...
    'String','Re = 1',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create line
annotation(gcf,'line',[0.802176339285714 0.816462053571429],...
    [0.484071806500378 0.458881330309902]);

% Create line
annotation(gcf,'line',[0.375 0.351785714285714],...
    [0.615666666666667 0.647619047619048]);

% Create line
annotation(gcf,'line',[0.733928571428571 0.708928571428571],...
    [0.75852380952381 0.790476190476191]);

% Create textbox
annotation(gcf,'textbox',...
    [0.786714285714283 0.411904761904765 0.104357142857144 0.0547619047619051],...
    'String','Ka = 1',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.367857142857142 0.742857142857145 0.178571428571427 0.150000000000004],...
    'String',['broken',sprintf('\n'),'reaction',sprintf('\n'),'zones'],...
    'HorizontalAlignment','center',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.652785714285711 0.797619047619053 0.125785714285717 0.0547619047619051],...
    'String','Ka_δ = 1',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.49742857142857 0.569047619047622 0.238285714285714 0.054761904761905],...
    'String',{'thin reaction zones'},...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.295642857142855 0.659523809523816 0.104357142857144 0.054761904761905],...
    'String','η = l_δ',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create textbox
annotation(gcf,'textbox',...
    [0.692071428571426 0.380952380952388 0.104357142857144 0.0547619047619051],...
    'String','η = l_F',...
    'FitBoxToText','off',...
    'EdgeColor','none');

% Create line
annotation(gcf,'line',[0.698214285714285 0.714285714285714],...
    [0.458523809523811 0.433333333333335]);

% Create line
annotation(gcf,'line',[0.208984375 0.241127232142857],...
    [0.429083144368859 0.449130763416478]);

[Rahman]

Dear Mr. Kevin,

Thanks for your prompt & valuable reply. This is great! I have a follow-up question. Let's say I want to add 'a point' on the same plot as below:

For the point, the co-ordinates are roughly --> (x,y) = (254.5, 12.4).

In addition, is there a way to change the 'Text fonts on the plots'?

Apprecite your time & help.

[Kevin Holly]

For point:

scatter(254.5,12.4,'filled','k')

To change the text font on the plot:

1. Edit>Axes Properties...
2. Select the textbox in the figure
3. Change properties in the Property Inspector (e.g. font,size,rotation,string)
4. File>Generate Code...

You can find out what commands would change the text font from the generated code.

[Rahman]

Thank you very much Mr. Kevin for your help & time.

Answer 2

[Image Analyst]

You can use xlabel(), ylabel(), plot(), and text(). And annotation() or line() for the little lines.