Newton’s law of viscosity for two parallel layers of a fluid is written as
PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
Newton’s law of viscosity for two parallel layers of a fluid is written as F=ηAdxdv.
(i) Identify each symbol used in the above relation and state the physical meaning of η.
(ii) Derive the dimensional formula of the coefficient of dynamic viscosity η and express its unit completely in terms of SI base units.
(iii) State whether this unit possesses a special SI derived unit name. If yes, write that name and its symbol; if not, state ‘none’.
(iv) The kinematic viscosity ν is defined as ν=ρη where ρ is density. Derive the dimensional formula of ν and express its unit in base SI units. Comment on whether ν has a special named SI unit.