Stefan adhesion

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 $\eta$ , at time $t$ , depends on the rate of change of separation ${\frac {dh}{dt}}$ :

F={\frac {3\pi \eta \ R^{4}}{2h^{3}}}{\frac {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).

References

↑ Smith AM (2002). "The Structure and Function of Adhesive Gels from Invertebrates". Integr. Comp. Biol. 42 (6): 1164–1171. doi:10.1093/icb/42.6.1164.

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[Smith-1093-1] Smith AM (2002). "The Structure and Function of Adhesive Gels from Invertebrates". Integr. Comp. Biol. 42 (6): 1164–1171. doi:10.1093/icb/42.6.1164.