Groundwater Oil-Lens Simulation with FEATool Multiphysics
Petroleum leakage has produced long-lived groundwater contamination in the Rey industrial area south of Tehran, where oil from refineries, storage facilities, pipelines, and other infrastructure has accumulated in and above the shallow aquifer. Oil present as a separate liquid phase on the groundwater table is called …
Supersonic Flow Past a Wedge
This verification test case studies steady inviscid compressible flow past a wedge at an incident angle of 15 degrees. As the supersonic flow (Ma = 2.5) hits the wedge a sharp oblique shock wave is formed, resulting in a reduced downstream flow velocity. The simulation uses the inviscid compressible Euler equations to …
Temperature Loading of a Tapered Cylinder
This validation test case models temperature loading of a tapered hollow thick cylinder with a spherical bottom flange section. The solid object is assumed to be clamped vertically, but allowed to expand horizontally due to a linear temperature gradient. The stress in the z-direction at the bottom inner point is …
Cooling Effect of Adding Fins
This example models heated steam at a constant temperature of 120 C flowing through a aluminium pipe with 3 cm diameter. Heat loss to the surrounding cool air (at 25 C and heat transfer coefficient of h = 60 W/m2 C) is computed for a plain pipe, and also a pipe where 200 cooling fins per meter has been added. The …
Space-Time Transformation of Heat Conduction
This example considers transient heat diffusion in a solid 1 m rod where one end is kept at T = 25 degrees and the other subject to constant heat flux q_n = 1. This one-dimensional time dependent problem is transformed to a static two dimensional one. The computed results can both be compared with the analytical …
Microstrip Transmission Line
A shielded electrical microstrip transmission line is fixed to a substrate and placed in a shielded container of air. The simulation applies a known voltage to the strip to calculate the resulting capacitance and compares this with the theoretical result. The problem assumes symmetry in the lengthwise direction so that …
Inductance in Parallel Wires
This example calculates the inductance between parallel wires. Two 1 m wires with 4 mm radius 1 A current are placed 0.5 m apart in a large domain of non-conducting air or vacuum. The inductance is computed with both using the magnetic field energy and flux linkage, and compared against the analytical solution L = …
Conducting Sphere
This verification example considers a perfectly conducting sphere placed between two charged capacitor plates. An axisymmetric solution for the electrostatic potential is compared with a full 3D one, and verified against the analytical solution U(xi) = E0*(r3/xi2 - xi), where the electrical field is the potential …
Thermal Bridge
This is a benchmark test case for modeling the steady-state temperature distribution in a thermal bridge in building construction. The model consists of a 6 mm concrete slab subjected to an outside temperature of 0 °C and heat loss due to convection. The inside features a 4 cm layer of air enclosed within a 1.5 mm …
Orthotropic Heat Conduction
This is an example of modeling anisotropic heat conduction in an orthotropic material where a heated solid bar suddenly is cooled by submerging it in a cool fluid. The material features different thermal conductivities in the x and y-directions which is accounted for by modifying the diffusion term in the heat transfer …