How to take integral a surface in comsol 5.1

HOW TO TAKE INTEGRAL A SURFACE IN COMSOL 5.1 SOFTWARE

This user interface includes the Model Builder window, ribbon, Settings. This is the surface area of the part of ?z=xy? that lies inside ?x^2+y^2=4?. In the COMSOL Multiphysics simulation software, the COMSOL Desktop is used to build, solve, and analyze multiphysics models. Suppose surface S is a flat region in the xy-plane with upward orientation.Then the unit normal vector is k and surface integral is actually the double integral In this special case, StokesвЂ™ theorem gives However, this is the flux form of GreenвЂ™s theorem, which shows us that GreenвЂ™s theorem is a special case of StokesвЂ™ theorem. Remember, we had to find limits of integration for ?y? with respect to ?x? because weвЂ™re integrating first with respect to ?y?, and after we do, we need to have ?x? variables left over so that we can then integrate with respect to ?x?.

Thus, as x approaches zero the shear rate approaches infinity.

It is known that the velocity along the free surface goes as x0.5 for a Newtonian fluid, which means the velocity gradient goes as x0.5, where x is measured from the end of the no-slip surface. Solving this equation for ?y? in terms of ?x? in order to get limits of integration with respect to ?y? gives the no-slip surface changes to a slip surface.

COMSOL simulation requires specification of four aspects: Geometry, Material, Mesh, and Study parameters. 1 Bioenergy Technologies Office Consortium for Computational Physics and Chemistry (CCPC) U.S.

HOW TO TAKE INTEGRAL A SURFACE IN COMSOL 5.1 SOFTWARE

All we need now are the limits of integration, which will come from ?x^2+y^2=4?. COMSOL Multiphysics 5.1 as an FEA simulation software has been utilized for simulation the coils magnetic field and the effect of separation and angle of coil planes on the mutual inductance.

How to take integral a surface in comsol 5.1