Beigesponge:
You raise a logical and concerned question that merits a warning.
If the authors of the paper that contains the equation you are basing your calculations on do not specifically cite the basis or identity of the units used in the presented equation, then – unfortunately – you are at the mercy of some sloppy engineering writers or editors. This type of problem, unfortunately, is something that invades engineering communications and writing much too often nowadays. The unidentified units make the equation worthless.
If you have no direct or quick access to the authors – as is the usual case – then you can direct your dilemma to your professor, who should be also concerned that in spite of doing serious research in finding the needed relationship, you can’t simply rely on guess work or “trust” in using the published equation. He/she should be able to guide you or advise you how to handle this problem.
All engineering students should be made aware that there is a lot of literature and papers that have been published that contain not only badly written information – but also ERRATA. A lot of the mistakes or errata are caused by editors that are either sloppy, lazy, or simply don’t know what they are checking. My personal copy of Donald Kern’s famous classic book, “Process Heat Transfer” has a lot of my red ink identifying errors in the text of this famous publication. Finding typos or erroneous information doesn’t alarm me anymore after 62 years. You’ve done the right thing in challenging the need to identify clearly and explicitly the correct identity of the units in the expressed equation. All engineering students should follow suit when they are in a similar situation.