# Application Gallery

The Application Gallery features COMSOL Multiphysics® tutorial and demo app files pertinent to the electrical, structural, acoustics, fluid, heat, and chemical disciplines. You can use these examples as a starting point for your own simulation work by downloading the tutorial model or demo app file and its accompanying instructions.

Search for tutorials and apps relevant to your area of expertise via the Quick Search feature. To download the MPH-files, log in or create a COMSOL Access account that is associated with a valid COMSOL license. Note that many of the examples featured here can also be accessed via the Application Libraries that are built into the COMSOL Multiphysics® software and available from the File menu.

### 1D Isothermal Lithium-Ion Battery

This model demonstrates the Lithium-Ion Battery interface for studying the discharge and charge of a lithium-ion battery for a given set of material properties. The geometry is in one dimension and the model is isothermal. Battery developers can use the model to investigate the influence of various design parameters such as the choice of materials, dimensions, and the particle size distribution ...

### 2D Lithium-Ion Battery

The following example is a 2D tutorial model of a lithium-ion battery. The cell geometry is not based on a real application; it is only meant to demonstrate a 2D model setup.

### Thermal Modeling of a Cylindrical Lithium-Ion Battery in 3D

This example simulates the heat profile in an air-cooled cylindrical battery in 3d. The battery is placed in a matrix in a battery pack. The thermal model is coupled to a 1d-battery model that is used to generate a heat source in the active battery material. The model requires the Batteries & Fuel Cells Module and the Heat Transfer Module

### Electrochemical Impedance Spectroscopy

Electrochemical impedance spectroscopy (EIS) is a common technique in electroanalysis. It is used to study the harmonic response of an electrochemical system. A small, sinusoidal variation is applied to the potential at the working electrode, and the resulting current is analyzed in the frequency domain. The real and imaginary components of the impedance give information about the kinetic and ...

### 1D Lithium-Ion Battery Model for the Capacacity Fade Tutorial

Side reactions and degradation processes may lead to a number of undesirable effects, causing capacity loss in lithium-ion batteries. Typically, aging occurs due to multiple complex phenomena and reactions that occur simultaneously at different places in the battery, and the degradation rate varies between certain stages during a load cycle, depending on potential, local concentration, ...

### Thermal Modeling of a Cylindrical Lithium-Ion Battery in 2D

This model example simulates an air-cooled cylindrical 18650 lithium-ion battery during a charge-discharge cycle, followed by a relaxing period. A one-dimensional cell model is used to model the battery cell chemistry, and a two-dimensional axi-symmetrical model is used to model the temperature in the battery.

### Diffuse Double Layer

At the electrode-electrolyte interface, there is a thin layer of space charge in a diffuse double layer. This may be of interest when modeling devices such as electrochemical capacitors and nanoelectrodes. This tutorial example shows how to couple the Nernst-Planck equations to the Poisson equation, in order to describe diffuse double layer according to a Gouy-Chapman-Stern model. The physics ...

### Mass Transport Analysis of a High Temperature PEM Fuel Cell

This model example investigates the transport of reactants and water in a high temperature PEMFC. The model includes mass and momentum transport phenomena in the flow channels, gas diffusion layers (GDLs), and porous electrodes, as well as electrochemical currents in the GDLs, the porous electrodes, and the polymer membrane.

### Cyclic Voltammetry at a Macroelectrode in 1D

Cyclic voltammetry is a common analytical technique for investigating electrochemical systems. In this method, the potential difference between a working electrode and a reference electrode is swept linearly in time from a start potential to a vertex potential, and back again. The current-voltage waveform, called a voltammogram, provides information about the reactivity and mass transport ...

### Internal Short Circuit of a Lithium-Ion Battery

During an internal short circuit of a battery, the two electrode materials are internally and electronically interconnected, giving rise to high local current densities. Internal short circuits may occur in a lithium-ion battery due to, for instance, lithium dendrite formation or a compressive shock. A prolonged internal short circuit results in self discharge in combination with a local ...

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