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AF>CF
Adhesion forces are the forces of attraction between oil and
water while cohesion forces are forces of attraction between
oils
Wa- work of adhesion
Wc- work of cohesion
S = Wa - Wc
1
we will assume a hypothetical cylinder filled half with water
and half with oil.
Where:
-Wa is the work of adhesion used to break adhesive forces
between water and oil molecules
-Yo is the surface tension of oil
-Yw is the surface tension of water
Area =1cm2
Wa = YoA + YoW + YwA+ (-YowA)
Wa= YoA + YwA – YowA
Wa = Yo + Yw - Yow 2
Wc = Yo A + Yo A
Wc = 2Yo A
Wc = 2Yo 3
S = Wa - Wc
Wa = Yo + Yw - Yow
Wc = 2Yo
1
2
3
S= (Yo + Yw – Yow ) – 2Yo
S=Yw - Yow – Yo
S= Yw –(Yow - Yo )
Derivation of spreading coefficient

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Derivation of spreading coefficient

  • 1.
  • 2.
  • 3.
  • 4. AF>CF Adhesion forces are the forces of attraction between oil and water while cohesion forces are forces of attraction between oils
  • 5. Wa- work of adhesion Wc- work of cohesion S = Wa - Wc 1
  • 6. we will assume a hypothetical cylinder filled half with water and half with oil. Where: -Wa is the work of adhesion used to break adhesive forces between water and oil molecules -Yo is the surface tension of oil -Yw is the surface tension of water Area =1cm2
  • 7. Wa = YoA + YoW + YwA+ (-YowA) Wa= YoA + YwA – YowA Wa = Yo + Yw - Yow 2
  • 8. Wc = Yo A + Yo A Wc = 2Yo A Wc = 2Yo 3
  • 9. S = Wa - Wc Wa = Yo + Yw - Yow Wc = 2Yo 1 2 3 S= (Yo + Yw – Yow ) – 2Yo S=Yw - Yow – Yo S= Yw –(Yow - Yo )