
For a number of diffusive processes involving heat and mass transfer, a convenient and easy way to solve for penetration time or depth is to consider an averaged quantity called mean action time. This approach was originally developed by Alex McNabb, in collaboration with other researchers. It is possible to solve for mean action time without actually solving the full diffusion problem, which may be nonlinear, and may have internal moving boundaries. Mean action time satisfies a linear Poisson equation, and only works for finite problems. We review some nice properties of mean action time, and discuss some recent novel applications.
Diffusion, mean action-time, heat transfer, mass transfer, Heat and mass transfer, heat flow, diffusive processes, linear Poisson equation
Diffusion, mean action-time, heat transfer, mass transfer, Heat and mass transfer, heat flow, diffusive processes, linear Poisson equation
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