# uniplanar

u·ni·pla·nar of or lying in one plane

## uniplanar

adjective

Situated or occurring in one plane.

**Uniplanar**Motion.- - In the
**uniplanar**motion of a homogeneous liquid the equation of continuity reduces to du dv dx' dy-O' u= -d,y/dy, v = d i t/dx, (2) surface containing so that we can put _ (6) (9) we have (I) (2) (5) (I) where 4 is a function of x, y, called the streamor current-function; interpreted physically, 4-4c, the difference of the value of 4, at a fixed point A and a variable point P is the flow, in ft. - In the equations of
**uniplanar**motion = dx - du = dx + dy = -v 2 ?, suppose, so that in steady motion dx I +v24 ' x = ?' - The curves 0 = constant and 4, = constant form an orthogonal system; and the interchange of 0 and 4, will give a new state of
**uniplanar**motion, in which the velocity at every point is turned through a right angle without alteration of magnitude. - For instance, in a
**uniplanar**flow, radially inward towards 0, the flow across any circle of radius r being the same and denoted by 27rm, the velocity must be mfr, and 0=m log r,, y=m0, +4,i =m log re ie, w=m log z.

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