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Inductance and ResistanceInductance and Resistance

This is a model of a simple AC coil: a single-turn thick circular copper wire. A parametric study of current distribution, coil inductance and coil resistance is performed for different frequencies. The skin effect becomes increasingly...

One-Sided MagnetOne-Sided Magnet

Permanent magnets with a one-sided flux have many uses. The one-sided flux behavior is obtained by giving the magnet a magnetization that varies in the lateral direction. This model shows this technique to model a cylindrical one-sided...

Electrophoresis, Transport in a Capillary ColumnElectrophoresis, Transport in a Capillary Column

The electrophoresis of a mixture containing benzoic acid and chlorobenzoic acid, with sodium acetate as background electrolyte, is studied in a model that includes the transport of the involved species through diffusion and migration....

Shell Diffusion in a TankShell Diffusion in a Tank

A goal for many applications is to predict physics in thin structures, such as shells, without modeling the thickness of the structure. This is because large aspect ratios can cause meshing and geometry analysis problems. In this...

Turbulent Flow over a Backward-Facing StepTurbulent Flow over a Backward-Facing Step

The backward facing step is an interesting case for studying the performance and solution strategy of a turbulence model. In this case, the flow is subjected to a sudden increase of cross-sectional area, resulting in a separation of flow...

Ozone CombustionOzone Combustion

This 1D example illustrates the detailed modeling of a premixed, laminar, steady-state flame where ozone undergoes combustion to form oxygen. The chemical degradation of ozone is described by seven reversible, elementary reactions....

Flow Between Parallel PlatesFlow Between Parallel Plates

This example models the developing flow between two parallel plates. The purpose is to study the inlet effects in laminar flow at fairly moderate Reynolds numbers, in this case around 40. The problem might seem of academical nature...

Diverging DuctDiverging Duct

When the diameter of a pipe suddenly increases, the area available for flow increases. Fluid with relatively high velocity will decelerate into a relatively slow moving fluid. Depending on the Reynolds number, this can cause...

Transport and Reaction in a Catalyst in 3DTransport and Reaction in a Catalyst in 3D

Consider the study of a mass balance of a diluted species in air, for example, a pollutant in an exhaust stream. The model’s aim is to calculate the concentration profile of this species, which is decomposed by a catalyst present on the...

Diffusion in Isothermal Laminar Flow Along a Flat PlateDiffusion in Isothermal Laminar Flow Along a Flat Plate

In most industrial systems, the species transport in laminar flow differs by several orders of magnitude between convection and diffusion. This model serves as an introduction to the modeling of systems where a mass balance is coupled...


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