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COMSOL, COMSOL Desktop, COMSOL Multiphysics, Capture the Concept, and LiveLink . COMSOL Multiphysics also has several problem-solving benefits. PDF Drive is your search engine for PDF files. For a structural mechanics application in COMSOL Multiphysics, there are two.. tutorial model COMSOL교 . Agreement ( and may be used or copied only under the terms of the license agreement. COMSOL, COMSOL Multiphysics, Capture the.

The incident heat flux from the laser is modeled as a spatially distributed heat source on the surface. The transient thermal response of the wafer is This example describes an array of heating tubes submerged in a vessel with fluid flow entering at the bottom. This is a multiphysics model because it involves fluid dynamics coupled with heat transfer.

The pressure and the velocity field are the solution of the Navier-Stokes equations, As an example of a magnetostatic problem, consider how to model a horseshoe-shaped permanent magnet. One way is to treat the entire magnet as a ferromagnetic material, where the two end sections are defined as being pre-magnetized in different and opposite directions.

COMSOL Multiphysics provides an interactive meshing environment where, with a few mouse clicks, you can easily mesh individual faces or domains.

Each meshing operation is added to the meshing sequence. The final mesh is the result of building all the operations in the meshing sequence.

It illustrates how fluid flow can deform solid structures and how to solve for the flow in a continuously deforming geometry.

This model is intended as a first introduction to simulations of fluid flow and conjugate heat transfer. It shows you how to: Draw an air box around a device in order to model convective cooling in this box, set a total heat flux on a boundary using automatic area computation, and This example shows a 2D steady-state thermal analysis including convection to a prescribed external ambient temperature. It is given as a benchmarking example.

The benchmark result for the target location is a temperature of The model includes the effect of a nonlinear B-H curve in the core and shows how to connect the transformer model to the external circuits using Electric Circuit interface. The simulation is You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' or the latest version listed if standards is not an option.

Log Out. The wire is calibrated beforehand and has a known torsion constant k t. Analysis of the fluid motion in the annular region can be performed on have rich mathematical properties. Of particular interest here is development of insight into the fluid motion for the case where end effects are included as an entry point for exploring the capabilities of COMSOL Multiphysics for system modelling.

Space Details

Governing Equations 3. The velocity distribution is needed to derive an expression for the torque, which is the working relationship used to extract fluid viscosity data from experimental measurements of the torque versus rotational speed. The analytical expression for the velocity distribution also provides the basis for an initial estimate for the 3-D velocity field.

Schematic of a Couette viscometer in which the outer cylinder is rotating and the inner cylinder is stationary.

Adapted from Bird et al. In practical applications of Couette viscometry for determination of fluid viscosity, complicating aspects such as fluid instabilities and bifurcation phenomena are to be avoided, although they If end effects are neglected, the velocity distribution in the angular direction can be assumed to mainly depend upon the radial coordinate.

In addition, the fluid density is invariant since the fluid is maintained at a constant temperature. With these assumptions, the equation of continuity reduces to 3.

When the outer cylinder is rotating and the inner cylinder is fixed, then the BCs are: B. The BCs for this case then become B. Applying the assumptions given above for the velocity components, along with the reduced form of the equation of continuity, generates the following simplified component forms for the equations of motion.

Analysis of the 3-D flow field is required to assess the deviation from the assumed ideal behavior. COMSOL Multiphysics is particularly useful to analyze systems involving various multiphysics, such as combined fluid flow, energy transport, and species transport. In connection with the current investigation, Buehler and Louw used COMSOL to investigate the behavior of spherical gap flows using two concentric spheres.

The results showed the non-uniqueness of the supercritical solutions and interesting aspects of the connected bifurcations. Numerical Method The 3-D geometry of concentric rotating cylinder system where the inner cylinder is rotating and outer cylinder is stationary was developed by using the COMSOL Computational Fluid Dynamics CFD module for determination of the velocity and pressure profiles.

A typical meshed geometry is shown in Figure 2. The model parameters are tabulated in Table1.

For simplicity, the fluid flowing in the annular region is assumed to be water. The physical parameters for water are given in Table 2. Figure 2.

Results and Discussion Simulations were performed to determine the effect of the inner cylinder angular velocity and the radius of the inner cylinder and hence the width of the annular gap width on the fluid velocity, torque and pressure profiles under laminar flow conditions.

Selected results are summarized below.

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The initial pressure for the system was taken as 1 atm. The results in Figure 3, 5 which correspond to 55 RPM, show that the pressure difference is on the order of 1. Also, the highest velocity is clearly at the surface of the inner rotating cylinder with zero velocity at the stationary outer cylinder as expected.

Figure 3.

Pressure profile of the fluid at viscometer rotational speed of 55rpm and time 5 secs Figure 6. Velocity profile of the fluid at different heights in annular gap of viscometer at rpm and 5 secs 6. Figure 7 shows the effect of increasing the width of the annular gap by decreasing the radius of the inner rotating cylinder while keeping the outer cylinder radius constant.

The fluid velocity decreases with an increase in the annular gap so the flow is deeper in the laminar flow regime. Figure 4.

Fluid Motion Between Rotating Concentric Cylinders Using COMSOL Multiphysics

Pressure profiles of the fluid at a viscometer rotational speed of rpm and time 5 secs. As expected, the velocity profile at the bottom of the cylinder is not fully developed. However, it appears to approach a fully-developed profile only as the top rim of the viscometer is reached since the a. Figure 7. Velocity profiles of fluid when the inner radius is varied. Various parameters were varied in order to study this behavior.

Converting COMSOL® Simulation Software Results to 3D PDF

Figure 8 shows the height at which the velocity profiles were evaluated. It can be clearly seen that the initial velocity profiles are steeper that those at 5 sec. Figure 11 shows how the velocity profiles develop during startup of the inner cylinder. Figure 8. Height at which the velocity profiles were evaluated 0. Figure Various parameters were varied in order to study this behavior.

Figure 8 shows the height at which the velocity profiles were evaluated. Laser Heating of a Silicon Wafer A silicon wafer is heated up by a laser that moves radially in and out over time. With these assumptions, the equation of continuity reduces to 3.

It illustrates how fluid flow can deform solid structures and how to solve for the flow in a continuously deforming geometry. The transient thermal response of the wafer is In the current analysis, it is shown that determination of end effects requires solution of the 3-D form of the Navier-Stokes equations.

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