Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped

Inertial waves in a rectangular parallelepiped

1 A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The three-dimensional solution is expanded in vertical modes to reduce the dynamics to the horizonta...

A new semi-analytical solution for inertial waves in a rectangular parallelepiped

A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The three-dimensional solution is expanded in vertical modes to reduce the dynamics to the horizontal ...

Approximate polynomial solutions for the nonlinear temperature distribution equation of a thick rectangular fin

We present a method to obtain approximate polynomial solutions for a class of second order nonlinear differential equations arising in heat transfer problems. We apply this method to find a approximate polynomial solution for the nonlinear temperature distribution equation of a thick rectangular fin. Key-Words: Nonlinear differential equation; boundary value problem; ε -approximate analytical a...

Diffraction by rectangular parallelepiped, hexagonal cylinder, and three-axis ellipsoid Some analytic solutions and numerical results

Analytical solutions are presented for Fraunhofer diffraction by the following nonspherical particles: rectangular parallelepiped, hexagonal cylinder, spheroid, and threeaxis ellipsoid. Using these solutions, numerical results for the diffracted intensity of these particles in specific orientations and 3-D random orientation for an ensemble of particles of the same size are presented and discus...

The Analytical Investigation of Temperature Distribution in Enamel under Er:YAG Laser Radiation