If it is indeed a single author who is referred to in the sentence, then I would suggest '... is actually the name of one of the author's former professors, Octave Levenspiel, who wrote a famous textbook ...', adding an 's' and two commas. Given the 4th paragraph on the page, that would reasonably be interpreted as referring to John W. Eaton, in spite of the reference to 'many others'.

In addition to the commas, I've made 'professor' plural. I think the apostrophe is correct, because the professor is a member of the set of professors of both authors. It might be more clear in one sense to say 'one of the professors of one of the authors, Octave Levenspiel', but that would make it seem that the name belonged to the author rather than to the professor.

Another possibility is: '... it is actually the name of Octave Levenspiel, a former professor of one of the authors. He wrote a famous textbook on chemical reaction engineering, and he was also well known ...'.

The following wording is grammatically incorrect: '... is actually the name of one of the author’s former professor Octave Levenspiel who wrote a famous textbook ...'.

I would suggest the following: '... is actually the name of one of the authors' former professors, Octave Levenspiel, who wrote a famous textbook ...'.

- Robert