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What is Dimensional Formula of Coefficient of Viscosity?

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Viscosity is defined as the ratio of force require to shear a liquid to  the velocity of shear (Shear means when adjacent layers of liquid are made to slide over each other ).

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.

Mathematically,
Coefficient of viscosity (η)= Fr/Av    ——- F= tangential Force, Area, r= distance between the layers, v= velocity.

Dimensional Formula of Force = M1L1T-2.
Dimensional Formula of Area= M0L2T0.
Dimensional Formula of distance= M0L1T0.
Dimensional Formula of velocity= M0L1T-1.

Putting these values in above equation we get,

[η]= [M1L1T-2][M0L1T0] / [M0L2T0] [M0L1T-1] = [M1L-1T-1]

Dimensional Formula of Coefficient of viscosity (η)=[M1L-1T-1]
SI unit of Coefficient of viscosity (η) is Pascal-second

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Comments
  • Sanniyaa December 18, 2013 at 1:36 pm

    Is there any way that we could find the dimension of coefficient of viscosity by Stokes formula?

  • ehsan April 12, 2014 at 1:12 am

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  • A.Aadhitya June 30, 2014 at 10:10 am

    what is the difference between viscosity and coefficient of viscosity?

  • A.Aadhitya June 30, 2014 at 10:11 am

    what is the formula of viscosity

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  • VINAY singh April 12, 2015 at 7:41 pm

    What is stokes’ low

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  • Ibrahim Musa Hadejia February 12, 2016 at 12:14 pm

    Very good

  • SHAH MANAN (BOHEMIA) March 15, 2016 at 10:10 pm

    SI unit of viscosity is poiseuille

  • samir mandal April 12, 2016 at 1:20 am

    130din/sec,its means?

  • admin May 4, 2016 at 11:21 pm

    Viscosity of liquids are noted as din/sec.

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  • Sayali July 11, 2016 at 1:22 am

    But if we add all the raised values of L, M and T we should get the answer as L5 M1 T-3

  • Kamal January 5, 2017 at 12:05 am

    What is the relation between SI unit and CGS unit of coefficient of viscosity

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