# For fluid the shear stress is directly proportional to – (a) strain rate (b) size (c) strain (d) shape

By BYJU'S Exam Prep

Updated on: September 25th, 2023

For fluid, the shear stress is directly proportional to the strain rate. The physical characteristic that describes the straightforward fluids’ flow resistance is viscosity. According to Newton’s law of viscosity, the shear stress of two fluid layers is inversely proportional to velocity differences between them.

### Shear Stress of Fluid

The rate of change of velocity based on the perpendicular distance from the fixed point is directly inversely correlated with shear stress between two fluid layers (Velocity Gradient or rate of deformation or strain rate)

τ α du/dy

τ = μ du/dy

μ = τ/du/dy

where, τ – Shear stress and du/dy – strain rate or velocity gradient.

Summary:

## For fluid the shear stress is directly proportional to – (a)strain rate (b)size (c)strain (d)shape

Shear stress for fluids is inversely correlated with strain rate. For a given pressure and temperature, the ratio of shear stress to rate is constant and is known as the viscosity or coefficient of viscosity.

POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com