BITSAT2015PhysicsMechanical Properties of FluidsActual
Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as v=k ( 2 y² a² - y³ a³ ) . If coefficient of viscosity for water is , what will be shear stress between layers of water at y=a .
Options
- Ak a
- Bk a
- Ca k
- DNone of these
Correct answer
A. k a
Step-by-step solution
Newton's law of viscosity, F= A d v d y array l Stress = F A = ( d v d y )= k ( 4 y a² - 3 y² a³ ) At y=a, stress = k ( 4 a - 3 a )= k a array