You can download the paper for free here. It deals with CFD modeling of a fruit fly wing.
http://jeb.biologists.org/cgi/content/abstract/205/1/55
You can locate the relevant equations on the third page (numbered as page 57 of the journal of experimental biology). Equations (17) (18) and (19)...
I found this thread useful in giving me several new leads. I was stuck in understanding part of a paper which implements a cartesian to curvilinear transformation where the curvilinear basis is not necessarily orthogonal. Thanks Peeter and mnb96.