Stefan adhesion explained

Stefan adhesion is the normal stress (force per unit area) acting between two discs when their separation is attempted. Stefan's law governs the flow of a viscous fluid between the solid parallel plates and thus the forces acting when the plates are approximated or separated.The force

F

resulting at distance

h

between two parallel circular disks of radius

R

, immersed in a Newtonian fluid with viscosity

η

, at time

t

, depends on the rate of change of separation
dh
dt

:
F=3\piη R4
2h3
dh
dt

Stefan adhesion is mentioned in conjunction with bioadhesion by mucus-secreting animals. Nevertheless, most such systems violate the assumptions of the equation.[1] In addition, these systems are much more complex when the fluid is non-Newtonian or inertial effects are relevant (high flow rate).

Notes and References

  1. Smith AM. The Structure and Function of Adhesive Gels from Invertebrates.. 2002 . Integr. Comp. Biol. . 42 . 6 . 1164–1171 . 10.1093/icb/42.6.1164 . 21680401. free .