bipolar coordinate system

bipolar coordinate system

[¦bī‚pō·lər kō′ȯrd·ən·ət ‚sis·təm]
(mathematics)
A two-dimensional coordinate system defined by the family of circles that pass through two common points, and the family of circles that cut the circles of the first family at right angles.
A three-dimensional coordinate system in which two of the coordinates depend on the x and y coordinates in the same manner as in a two-dimensional bipolar coordinate system and are independent of the z coordinate, while the third coordinate is proportional to the z coordinate.
References in periodicals archive ?
Using a bipolar coordinate system and Green's function, Heyda [14] presented analytical solutions for Newtonian fluid flow in an eccentric annulus in the form of an infinite series.
Numerical Methods: Using a bipolar coordinate system, Redberger and Charles [24, 25] applied numerical methods (finite difference technique) to solve the equations of motion and obtain the velocity profile for Newtonian fluid flow in eccentric annular geometries.
Haciislamoglu and Langlinais [28] first presented studies dealing with fully developed flow of generalized yield-power law fluids in eccentric annuli by adopting a bipolar coordinate system and a finite difference technique.