forces the steady state elongation flow is given as: v, = éz; v, = -ér; ve = 0 where é is the elongational rate. Verify that the velocity distribution satisfies the continuity equation and show that for an incompressible Newtonian fluid, the steady elongational flow

Elements Of Electromagnetics
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4. When a cylindrical filament is stretched slowly in the absence of external body
forces the steady state elongation flow is given as:
v = éz; v,
= --ér; ve = 0
where é is the elongational rate. Verify that the velocity distribution satisfies the
continuity equation and show that for an incompressible Newtonian fluid, the
steady elongational flow
Ty = Toe = -né; T = 2né
Transcribed Image Text:4. When a cylindrical filament is stretched slowly in the absence of external body forces the steady state elongation flow is given as: v = éz; v, = --ér; ve = 0 where é is the elongational rate. Verify that the velocity distribution satisfies the continuity equation and show that for an incompressible Newtonian fluid, the steady elongational flow Ty = Toe = -né; T = 2né
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