In convective heat transfer, the **Churchill–Bernstein equation** is used to estimate the surface averaged Nusselt number for a cylinder in cross flow at various velocities. The need for the equation arises from the inability to solve the Navier–Stokes equations in the turbulent flow regime, even for a Newtonian fluid. When the concentration and temperature profiles are independent of one another, the mass-heat transfer analogy can be employed. In the mass-heat transfer analogy, heat transfer dimensionless quantities are replaced with analogous mass transfer dimensionless quantities.

This equation is named after Stuart W. Churchill and M. Bernstein, who introduced it in 1977. This equation is also called the **Churchill–Bernstein correlation**.

Read more about Churchill–Bernstein Equation: Heat Transfer Definition, Mass Transfer Definition

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**Churchill–Bernstein Equation**- Mass Transfer Definition

... where is the Sherwood number is the Schmidt number Using the mass-heat transfer analogy, the Nusselt number is replaced by the Sherwood number, and the Prandtl number is replaced by the Schmidt number ... The same restrictions described in the heat transfer definition are applied to the mass transfer definition ...

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