The core principle of this domain is that transport phenomena in Cartesian coordinates can be unified under a single conservation framework by incorporating source terms for mass/momentum generation and body forces into the governing partial differential equations. The theory posits that solutions to unsteady diffusion problems with constant boundary conditions at infinite time converge linearly, while transient behavior in finite domains or semi-infinite media is resolved via similarity variables or separation of variables. This approach establishes an abstract equivalence between heat transfer (thermal diffusivity), mass transfer (mass diffusivity), and momentum transfer (kinematic viscosity) by treating the source terms as volume-dependent production rates per unit dimension.
The core principle of this domain is that transport phenomena in Cartesian coordinates can be unified under a single conservation framework by incorporating source terms for mass/momentum generation …