Question

Sherwood number is a function of

• A. Reynolds' number and Rayleigh number
• B. Rayleigh number and Grashof number
• C. Reynolds' number and Grashof number
• D. Reynolds' number and Schmidt number

Hint:

The Chilton-Colburn analogy provides a useful way to remember the relationships:

Heat Transfer: \textbf{Nusselt (Nu)} is a function of \textbf{Reynolds (Re)} and \textbf{Prandtl (Pr)}.
Mass Transfer: \textbf{Sherwood (Sh)} is a function of \textbf{Reynolds (Re)} and \textbf{Schmidt (Sc)}. \end{itemize}

Answer 1

The Correct Option is D

Step 1: Define the Sherwood Number (Sh). It is a dimensionless number used in mass transfer operations that represents the ratio of convective mass transfer to the rate of diffusive mass transport.

Step 2: Recall the common correlations for convective mass transfer. For forced convection, the rate of mass transfer (represented by Sh) depends on the flow conditions and the fluid's properties related to mass diffusion.

Step 3: Define the related dimensionless numbers. Reynolds number (Re): Represents the ratio of inertial forces to viscous forces, characterizing the flow regime (laminar or turbulent).
Schmidt number (Sc): Represents the ratio of momentum diffusivity (kinematic viscosity) to mass diffusivity. It is the mass transfer equivalent of the Prandtl number. For forced convection mass transfer, the Sherwood number is typically expressed as a function of the Reynolds number and the Schmidt number: Sh = f(Re, Sc).