Further background: In case it might be useful, the following is a link to a paper that provides the empirically determined relation of ρ as a function of T for water. (See Eq. (1) or Eq. (3) in the paper.) NIST 1992 formula for ρ(T) By taking the derivative of ρ(T) one can readily obtain the thermal expansion coefficient. Note that the thermal expansion coefficient (as used in Fluent) is defined by β ≡ α−1(∂α/∂T) where α ≡ 1/ρ is specific volume. Alternatively, the operating temperature, operating density, and thermal expansion coefficient can also be obtained from look-up tables in standard engineering handbooks (some are available online).
Discussion of results Instructor's remarks Example 1 (Thanks to Christopher Light) Example 2 (Thanks to Aditi Dhadwaiwale) Example 3 (Thanks to Alexander McGregor)
Discussion of results Instructor's remarks Example 1 (Thanks to Jake Schichtel) Example 2 (Thanks to Ryan Davis) Example 3 (Thanks to Ryian Hunter)
Discussion of results Instructor's remarks Example 1 (Thanks to Jared Bottlinger) Example 2 (Thanks to Sai Chaitanya Mangavelli) Example 3 (Thanks to Ian McFate)
Discussion of results Instructor's remarks Example 1 (Thanks to Prerak Dongaonkar) Example 2 (Thanks to Hitomi Shenhav) Example 3 (Thanks to Joseph Hanson)