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General PDE & Applied Math
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Blood Vessel
This model refers to a portion of the vascular system of a young child - the upper part of the aorta artery. The blood vessels are embedded in a biological tissue (the cardiac muscle) and, during the flow of blood, pressure is applied to the internal surfaces producing deformation of the vessel wall...
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Acoustic-Structure Interaction
Liquid or gas acoustics coupled to structural objects such as membranes, plates or solids are important applications in many engineering fields. Some application examples include:
loudspeakers, acoustic sensors, nondestructive impedance testing, medical ultrasound diagnostics of the human body....
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Acoustic Transmission Loss through Periodic Elastic Structures
In this model, two fluids are separated by a solid elastic structure. An acoustic pressure wave impacts the structure resulting in a reflected wave and a wave transmitted with a loss through the structure. This model investigates the transmission loss through the structure. The effects of incident a...
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Biot Poroelasticity
The Biot Poroelasticity example two-way couples Darcy's law and the plane strain application modes to assess deformation of porous media that results from fluid withdrawals.
The model builds on top of the Terzaghi Compaction example. Results from Terzaghi compaction and Biot poroelasticity analy...
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Thermal Drift in a Microwave Filter Cavity
Microwave filters are used to eliminate unwanted frequency components in the output from microwave transmitters. They are typically inserted between a power amplifier and an antenna. The amplifiers are nonlinear and produce harmonics that must be eliminated with filters that have a rather narrow pa...
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Magnetic Drug Targeting
Current research on methods to target chemotherapy drugs in the human body includes the investigation of bio compatible magnetic nano-carrier systems, e.g., magnetic liquids such as ferrofluids. This model example investigates an external magnetic field and its interaction with blood flow containing...
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Model of a Proton Exchange Membrane Fuel Cell
This example demonstrates modeling of PEM fuel cell with interdigitated flow field design. This implies that a pressure gradient is imposed between the inlet and outlet channel systems and forces convective flow through the porous electrodes via Darcy's Law.
Mass transport assumes Maxwell-Stefan...
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Sloshing Tank
Transport of large quantities of fluid can happen in unstable environments. A perfect example is an oil tanker on the high seas.
This model uses ALE for an incompressible Navier-Stokes problem with a free surface. This models the fluid with its original mesh, but allows the mesh to deform accord...
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Free Convection in a Porous Medium
This example treats the modeling of sub-surface flow where free convection in porous media is analyzed. The results are compared with published literature in the field.
The model couples the momentum balance to an energy balance through an equation, dependant on temperature, being directly typed...
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Wrapped Thick Cylinder under Pressure and Thermal Loading
This model is compared to a NAFEMS benchmark for composite material modeling, No R0031/2.
The geometry is a long, thick, and hollow cylinder consisting of two layers, where an internal pressure is applied. The inner layer is made from an isotropic material, while the outer layer is made from an...
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