Reddit mentions of Fundamentals of Momentum, Heat and Mass Transfer

Vmax=(p•g•L^2 •sinΘ)/2•µ)

Where:

• Vmax is the maximum velocity of the fluid, should be the side of the film away from the wall
  
• p is the density of the fluid
  
• g is the gravitational constant
  
• L is the thickness of the film
  
• Θ is the angle of the surface in relation to horizontal, 90° in this case
  
• and
  
• µ is the viscosity of the fluid
  
  From Welty, Wicks, Wilson, & Rorrer pg. 95
  
  Should be able to rearrange that to get what you need.

Thermodynamics is usually covered separately from fluid mechanics. At least in chemical engineering, fluid mechanics is usually covered together with heat transfer and mass transfer, since they are all mathematically very similar, and can be grouped together as 'transport phenomena'. Fluid mechanics = transport of momentum, Heat transfer = transport of heat, mass transfer = transport of mass.

Anyway, if you are only interested in fluid mechanics, my favorite textbook is Middleman. For an entry-level textbook that covers all three, I like the W^3 textbook.

For more advanced transport phenomena, the de-facto standard is Bird, Stewart, and Lightfoot. A lot of schools actually use this for their undergraduate course, but I frankly think it's too difficult for an introductory text. For students that already know the fundamentals though, it's an excellent reference book.

For real graduate-level analysis, I really like Deen's book.

Caveat: all these textbooks are pretty expensive, and can run you close to $100 even used. There might be much less expensive alternatives that still teach the material well.

Many have said BSL, which is a good one. I also purchased Wwwr to study for qualifying exams and liked it

https://www.amazon.com/Fundamentals-Momentum-Heat-Mass-Transfer/dp/0470128682