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Thin Low Permittivity Gap Comparison

The thin low permittivity gap boundary condition is meant to approximate a thin layer of material with low relative permittivity compared to its surroundings. This boundary condition is available for electrostatic field modeling. This example compares the thin low permittivity gap boundary condition to a full-fidelity model and discusses the range of applicability of this boundary condition.

Absorptive Muffler with Shells

This model describes the pressure wave propagation in a muffler for an internal combustion engine. The purpose of the model is to show how to analyze both inductive and resistive damping in pressure acoustics as well as coupling the fluid to the surrounding elastic shell structure of the muffler. Finally, the eigenmodes of a pure structural problem is analyzed and the modes compared to peaks ...

Capacitance Matrix of Two Spheres

This model compares the numerical and analytical solutions for the capacitance matrix of two nonconcentric spheres. It also illustrates the relation between the Maxwell capacitance matrix and the mutual capacitance matrix.

Current Distribution in a Chlor-Alkali Membrane Cell

The chlor-alkali membrane process is one of the largest in industrial electrolysis with the production of roughly 40 million metric tons of both chlorine and caustic soda per year. Chlorine is used predominantly for the production of vinyl chloride monomer, which in turn is used for the production of poly vinyl chloride (PVC). Current density in membrane-cell technology has increased ...

Viscous Catenary

The catenary is the geometrical shape that corresponds to the curve followed by an idealized chain or cable supported at both ends and hanging under its own weight. The viscous catenary problem describes the motion of a cylinder of highly viscous fluid, supported at its ends as it flows under gravity. In the last decade this problem has generated significant theoretical and experimental interest ...

Ion Energy Distribution Function

One of the most useful quantites of interest after solving a self-consistent plasma model is the ion energy distribution function (IEDF). The magnitude and shape of the IEDF depends on many of the discharge parameters; pressure, plasma potential, sheath width etc. At very low pressures the plasma sheath is said to be collisionless, meaning that the ion energy is not retarded by collisions with ...

Homogenization in a Chemical Reactor

This model illustrates how to simulate a periodic homogenization process in a space dependent chemical reactor model. This homogenization removes concentration gradients in the reactor at a set time interval. The model demonstrates a technique by which you can first stop the time-dependent solver, then restart it with an initial value obtained based on the solution.

Sub-Component Lumping in Acoustics Using the Impedance Boundary Condition

This application illustrates a modeling approach for deriving physically consistent simplified models in the Acoustics Module. The approach consists of converting complex sub-components to an impedance boundary condition and otherwise using simple acoustics throughout the COMSOL model. As a consequence, significant computational speed-up can be achieved. The example treated here consists of a ...

Eigenfrequency Shifts Caused by Temperature Changes

This example explores the shift in natural frequencies caused by changing the temperature. One study investigates a doubly clamped beam where both ends are fixed, while the other study looks at a cantilever beam where only one end is fixed. The following effects are studied: * Stress stiffening * Change in size * Constraint effects * Temperature-dependent Young's modulus Results show that the ...

Fuel Cell Bipolar Plate

A fuel cell stack operates at temperatures just below 100 °C, which means that it has to be heated at start-up. The fuel cell stack consists of unit cell of anode, membrane, and cathode connected in series through bipolar plates. This study presents a model that couples the thermal and structural deformations in a fuel cell bipolar plate. The magnitude and position of the thermal stresses ...