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The Sherwood number (Sh) (also called the mass transfer Nusselt number) is a dimensionless number used in mass-transfer operation. It represents the ratio of the total mass transfer rate (convection + diffusion) to the rate of diffusive mass transport, [1] and is named in honor of Thomas Kilgore Sherwood. It is defined as follows
chemistry (mass of one atom divided by the atomic mass constant, 1 ... similar to the axial mass transfer Peclet number) [2] ... Sherwood number: Sh
The same restrictions described in the heat transfer definition are applied to the mass transfer definition. The Sherwood number can be used to find an overall mass transfer coefficient and applied to Fick's law of diffusion to find concentration profiles and mass transfer fluxes.
turbulence; heat, mass, and momentum transfer (dimensionless transfer coefficients) Damkohler number: Da = chemistry (reaction time scales vs. residence time) Darcy friction factor: C f or f D: fluid mechanics (fraction of pressure losses due to friction in a pipe; four times the Fanning friction factor) Dean number: D
In chemistry, state properties and ... Sherwood number – (also called the mass transfer Nusselt number) is a dimensionless number used in mass-transfer operation ...
Mass transfer is the net movement of mass from one location (usually meaning stream, phase, fraction, or component) to another. Mass transfer occurs in many processes, such as absorption, evaporation, drying, precipitation, membrane filtration, and distillation. Mass transfer is used by different scientific disciplines for different processes ...
Meanwhile, for mass transfer, the comparison is between viscous diffusivity and mass Diffusivity (), given by the Schmidt number. In some cases direct analytic solutions can be found from these equations for the Nusselt and Sherwood numbers.
In engineering, the mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force: [1] = ˙ Where: is the mass transfer coefficient [mol/(s·m 2)/(mol/m 3)], or m/s