The velocity field in a potential flow is governed by the two kinematic equations grad*u=0 and grad×u=0. The same two equations, grad*B=0 and grad×B=0, govern the distribution of static magnetic fields, and indeed many of the potential flows discussed in mathematics texts were originally derived as magnetic field distributions by nineteenth-century physicists. Where does Newton's second law enter into such velocity distributions?

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The velocity field in a potential flow is governed by the two kinematic equations grad*u=0 and grad×u=0. The same two equations, grad*B=0 and grad×B=0, govern the distribution of static magnetic fields, and indeed many of the potential flows discussed in mathematics texts were originally derived as magnetic field distributions by nineteenth-century physicists. Where does Newton's second law enter into such velocity distributions?

The velocity field in a potential flow is governed by the two kinematic equations V. u = 0 and
Vxu = 0. The same two equations, V. B = 0 and V x B = 0, govern the distribution of static
magnetic fields, and indeed many of the potential flows discussed in mathematics texts were origin-
ally derived as magnetic field distributions by nineteenth-century physicists. Where does Newton's
second law enter into such velocity distributions?
Transcribed Image Text:The velocity field in a potential flow is governed by the two kinematic equations V. u = 0 and Vxu = 0. The same two equations, V. B = 0 and V x B = 0, govern the distribution of static magnetic fields, and indeed many of the potential flows discussed in mathematics texts were origin- ally derived as magnetic field distributions by nineteenth-century physicists. Where does Newton's second law enter into such velocity distributions?
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