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14CHT71-TRANSPORT PHENOMENA
Theory of viscosity of liquids
Manju Sri A
Assistant Professor
Department of Chemical Engineering
Molecular theory of viscosity of liquids
• Kinetic theory (monoatomic liq)-Kirkwood and
coworkers-not easy to use
• Eyring and coworkers-less well grounded-but gives a
qualitative picture on momentum transport-permits
rough estimation of viscosity.
• According to Eyring’s theory: Pure liquid at rest –
molecules are constantly in motion within its cage
formed by nearest neighbours.
• Cage is represented as the energy barrier of height
• Molar free energy of activation-
• Liquid at rest continuously undergoes rearrangements
molecules at times escape from its cage to its adjoining
hole in each of the coordinate directions of length “a”
and frequency “γ”
• Distance travelled for each jump – “a” at a
frequency of
• Forward jump (+) and Backward jump (-)
• The net velocity is “a” times the the net
frequency
Problems
10.Estimate the viscosity of liq.benzene at 293.2
K
11. Estimate the viscosity of saturated liq.water
at 0 and 100 deg.celsius.
Data: molar volume=18cm3/gmol.
Solution for problem 10

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Transport Phenamena

  • 1. 14CHT71-TRANSPORT PHENOMENA Theory of viscosity of liquids Manju Sri A Assistant Professor Department of Chemical Engineering
  • 2. Molecular theory of viscosity of liquids • Kinetic theory (monoatomic liq)-Kirkwood and coworkers-not easy to use • Eyring and coworkers-less well grounded-but gives a qualitative picture on momentum transport-permits rough estimation of viscosity. • According to Eyring’s theory: Pure liquid at rest – molecules are constantly in motion within its cage formed by nearest neighbours. • Cage is represented as the energy barrier of height • Molar free energy of activation- • Liquid at rest continuously undergoes rearrangements molecules at times escape from its cage to its adjoining hole in each of the coordinate directions of length “a” and frequency “γ”
  • 3.
  • 4. • Distance travelled for each jump – “a” at a frequency of • Forward jump (+) and Backward jump (-) • The net velocity is “a” times the the net frequency
  • 5.
  • 6.
  • 7.
  • 8. Problems 10.Estimate the viscosity of liq.benzene at 293.2 K 11. Estimate the viscosity of saturated liq.water at 0 and 100 deg.celsius. Data: molar volume=18cm3/gmol.