cylindrical coordinates


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Related to cylindrical coordinates: Spherical coordinates

cylindrical coordinates

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(Mathematics) three coordinates defining the location of a point in three-dimensional space in terms of its polar coordinates (r, θ) in one plane, usually the (x, y) plane, and its perpendicular distance, z, measured from this plane
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In order to solve the diffusion equations, the Laplacian is replaced by its cylindrical form: cylindrical coordinates - 3D, 2D.
[r.sub.Q], [r.sub.M] and [z.sub.Q], [z.sub.M] are the radial and axial cylindrical coordinates of points Q and U.
The piezoelectric constitutive equations (see Appendix 1) in matrix form in cylindrical coordinates for a piezoelectric material in the most general formula, considering thin plate theory where [[epsilon].sub.zz] is zero, can be rewritten as follows:
The AH FDTD method is developed to analyze the ground wave propagation problem under the cylindrical coordinates in this paper.
Their solutions are expressed in terms of generalized Laguerre polynomials, similarly to the case of the Dirac equation in cylindrical coordinates on a flat manifold [7].
Then, patches have cylindrical coordinates and the similarity between patches is computed not only based on features but also based on angles.
The present study focuses on data in cylindrical coordinates. Data in cylindrical coordinates have a periodic element, so clustering methods using the Euclidean distance will lead to an improper analysis of the data.
In cylindrical coordinates for the source terms for these two functions we choose infinitesimal magnetic and electric dipoles of amplitude A pointing into z-direction, respectively.
where ([rho], [phi], z) are cylindrical coordinates and k is a wave vector along the axial channel direction denoted by z.
First we choose the circular cylindrical coordinates (or cylindrical polar coordinates) as in Fig.
In this case, the permittivities can be rewritten in the cylindrical coordinates as:
In view of the above mentioned, the system of equations of motion of particles (droplets) in the swirling flow in cylindrical coordinates will be as follows: