The Internet Archive has a digitized, borrow-only copy of Textbook of Fluid Dynamics by F. Chorlton. You can create a free account and "borrow" the PDF for one hour or 14 days. This is and recommended. Simply search for "Chorlton fluid dynamics" on the Archive.
Google Books often has a preview of older editions. You cannot download the full PDF, but you can search within the book and view key pages—perfect for checking one specific derivation.
The book serves as a comprehensive introduction to the behavior of fluids (both liquids and gases) in motion and at rest. Key topics covered include:
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