Lagrangian Optimization of Wall Injected Flows

I am pleased to share some of the results of my research over the past few years. These just appeared as a review article in the Proceedings of the Royal Society A and you can download it from here (and the cool thing about the Royal Society – besides its very professional reviewers – review articles are free access to everyone!)

http://dx.doi.org/10.1098/rspa.2009.0326

I hope that you will enjoy reading this manuscript as it includes many classical ideas with a novel twist as well as some original derivations and solutions for flows at large Reynolds numbers.

The heart of this research resides in the fact that we were able to capture solutions that range from purely irrotational to highly rotational fields using a single formulation. These have different energy signatures and morph according to the energy level they are at. The second law of thermodynamics is then used to identify which of those solutions is the most likely to occur in practice based on the entropy maximization principle. Finally, Kelvin’s minimum energy theorem is extended to open regions thus granting it applicability to a wider class of problems. It is used here to prove that the solution with minimum kinetic energy corresponds indeed to the irrotational motion.

Working on this article is one of the main reasons that I have not been posting recently,

Cheers!

Cite as:
Saad, T. "Lagrangian Optimization of Wall Injected Flows". Weblog entry from Please Make A Note. https://pleasemakeanote.blogspot.com/2009/10/lagrangian-optimization-of-wall.html?m=0

How to add space after \hline in LaTeX tables

Try the following:

\hline \\[-1.0em]

Voila!

Of course, you can change the numbers and units inside the brackets.

Cite as:
Saad, T. "How to add space after \hline in LaTeX tables". Weblog entry from Please Make A Note. https://pleasemakeanote.blogspot.com/2009/08/how-to-add-space-after-hline-in-latex.html?m=0

How to highlight text in LaTeX

Add the following to your preamble:

\usepackage{color}
\newcommand{\hilight}[1]{\colorbox{yellow}{#1}}

To highlight text in the body of your document, use

\hilight{this is some highlighted text}

Voila!

Of course, you can change the color from yellow to any of the supported colors. For a list of those, check: http://en.wikibooks.org/wiki/LaTeX/Colors

UPDATE:

There is a problem with the previous method is that the color box does not wrap properly. Here's a much easier and robust way of doing this

\usepackage{soul}

To highlight text in the body of your document, use

\hl{this is some highlighted text}

Cite as:
Saad, T. "How to highlight text in LaTeX". Weblog entry from Please Make A Note. https://pleasemakeanote.blogspot.com/2009/08/how-to-highlight-text-in-latex.html?m=0

OriginLab Settings for High Quality Graphs

This is a well overdue post. I know that some readers have been waiting for this. I apologize for the delay. I hope you'll find this talk useful.

Cite as:
Saad, T. "OriginLab Settings for High Quality Graphs". Weblog entry from Please Make A Note. https://pleasemakeanote.blogspot.com/2009/06/originlab-settings-for-high-quality.html?m=0

Flashget Script Error/Flashget Recommends bar

In Flashget, go to:

View/Recommendation

and uncheck it.

Obviously, the ads displayed by flashget are generating an internet explorer script error. I never liked that recommend bar anyway.

Cite as:
Saad, T. "Flashget Script Error/Flashget Recommends bar". Weblog entry from Please Make A Note. https://pleasemakeanote.blogspot.com/2009/06/flashget-script-errorflashget.html?m=0