Helmholtz's Theorem
Helmholtz's Theorem :
The statement that if F is a vector field satisfying certain quite general mathematical conditions, then F is the sum of two vectors, one of which is irrotational (has no vorticity), the other solenoidal (has no divergence). Thus, the horizontal velocity field, for example, may be expressed by: V-V/(a+kxV^V„+V» where V is irrotational, i.e., VH x Va = zero, and Vy is solenoidal, i.e., VH x = zero, k is a unit vector directed vertically a and y are scalar functions. N.B. Refer to source to verify equation(s).
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