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Mass Transfer - Engineering

Q1:

For turbulent mass transfer in pipes, the Sherwood number depends on the Reynolds number as

A Re0.33

B Re0.53

C Re0.83

D Re

ANS:C - Re0.83

For turbulent mass transfer in pipes, the Sherwood number (π‘†β„ŽSh) is typically correlated with the Reynolds number (𝑅𝑒Re) and the Schmidt number (𝑆𝑐Sc) using empirical relationships. The most commonly used relationship is: π‘†β„Ž=𝐢⋅π‘…π‘’π‘š⋅𝑆𝑐𝑛Sh=C⋅Rem⋅Scn where 𝐢C, π‘šm, and 𝑛n are constants that depend on the specific flow conditions and geometry of the system. For mass transfer in fully turbulent flow in pipes, the Sherwood number is often correlated with the Reynolds number raised to a power of approximately 0.83. Therefore, the Sherwood number depends on the Reynolds number as: 𝑅𝑒0.83Re0.83 So, the correct option is Re0.83.