1
Ahmadi ME 437/537 Ahmadi ME 437/537
! ! Static Equilibrium Static Equilibrium ! ! Hydrodynamic Forces and Torque Hydrodynamic Forces and Torque ! ! Adhesion Forces for Bumpy Particles Adhesion Forces for Bumpy Particles ! ! Electrostatic Forces Electrostatic Forces ! ! Capillary Forces Capillary Forces ! ! Rolling and Sliding Removal Rolling and Sliding Removal ! ! Critical Detachment Shear Velocity Critical Detachment Shear Velocity
Ahmadi ME 437/537
⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + π + π + =
2 A A A 3
2 d W 3 dP W 3 2 d W 3 P K 2 d a
( ) ( )
1 2 2 2 1 2 1
E 1 E 1 3 4 K
−
⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ν − + ν − =
Contact Radius Contact Radius
Spherical Particles Spherical Particles
Ahmadi ME 437/537
Pull Pull-
- Off Force
Off Force Contact Radius Contact Radius at Separation at Separation
d W 4 3 F
A JKR po
π =
3 1 2 A
K 8 d W 3 a ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ π =