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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 ...
Mass transfer coefficients can be estimated from many different theoretical equations, correlations, and analogies that are functions of material properties, intensive properties and flow regime (laminar or turbulent flow). Selection of the most applicable model is dependent on the materials and the system, or environment, being studied.
For mass transfer at an interface, we can equate Fick's law with Newton's law for convection, yielding: J = D d C d y = h m ( C m − C b ) {\displaystyle J=D{\frac {dC}{dy}}=h_{m}(C_{m}-C_{b})} Where J {\displaystyle {J}} is the mass flux [kg/s m 3 {\displaystyle {m^{3}}} ], D {\displaystyle {D}} is the diffusivity of species a in fluid b, and ...
is a convective heat transfer coefficient [W/(m 2 ·K)] L {\displaystyle {L}} is a characteristic length [m] of the geometry considered. (The Biot number should not be confused with the Nusselt number , which employs the thermal conductivity of the fluid rather than that of the body.)
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.
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
The convection–diffusion equation can be derived in a straightforward way [4] from the continuity equation, which states that the rate of change for a scalar quantity in a differential control volume is given by flow and diffusion into and out of that part of the system along with any generation or consumption inside the control volume: + =, where j is the total flux and R is a net ...
Convective heat transfer, or simply, convection, is the transfer of heat from one place to another by the movement of fluids, a process that is essentially the transfer of heat via mass transfer. The bulk motion of fluid enhances heat transfer in many physical situations, such as between a solid surface and the fluid. [10]