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The diffusion coefficient can be combined with the reaction equilibrium constant to get the final form of the equation, where is the permeability of the membrane. The relationship being P = K D {\displaystyle P=KD}
Permeability is typically determined in the lab by application of Darcy's law under steady state conditions or, more generally, by application of various solutions to the diffusion equation for unsteady flow conditions. [8] Permeability needs to be measured, either directly (using Darcy's law), or through estimation using empirically derived ...
Definition of diffusion flux. Each model of diffusion expresses the diffusion flux with the use of concentrations, ... where k is the permeability of the medium, ...
P is the permeability, an experimentally determined membrane "conductance" for a given gas at a given temperature, c 2 − c 1 is the difference in concentration of the gas across the membrane for the direction of flow (from c 1 to c 2). Fick's first law is also important in radiation transfer equations.
Permeability is affected by the penetrant size. Larger gas molecules have a lower diffusion coefficient. The polymer chain flexibility and free volume in the polymer of the membrane material influence the diffusion coefficient, as the space within the permeable membrane must be large enough for the gas molecules to diffuse across.
The movement of a fluid through porous media is described by the combination of Darcy's law with the principle of conservation of mass in order to express the capillary force or fluid velocity as a function of various other parameters including the effective pore radius, liquid viscosity or permeability. [3]
Drug permeability; Semipermeable membrane, a membrane which will allow certain molecules or ions to pass through it by diffusion; Vascular permeability, the movement of fluids and molecules between the vascular and extravascular compartments; Permeation of a gas or vapor through a solid substance
The process of osmosis over a semipermeable membrane.The blue dots represent particles driving the osmotic gradient. Osmosis (/ ɒ z ˈ m oʊ s ɪ s /, US also / ɒ s-/) [1] is the spontaneous net movement or diffusion of solvent molecules through a selectively-permeable membrane from a region of high water potential (region of lower solute concentration) to a region of low water potential ...