The viscous force acting between two layers of a liquid is...

The viscous force acting between two layers of a liquid is given by $\frac{F}{A}=-\eta \frac{d v}{d z}$. This $F / A$ may be called
(a) pressure.
(b) longitudinal stress.
(c) tangential stress.
(d) volume stress.

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Key Concepts

Viscosity

Viscosity is the property of a fluid that quantifies its resistance to gradual deformation by shear stress or tensile stress. It determines how much internal friction is present when layers of the fluid slide past one another and is a key parameter in characterizing the flow behavior of fluids.

Shear Stress

Shear stress is the component of stress that acts parallel to the surface of a material. In fluids, it arises when adjacent layers move at different velocities, and it is calculated as the force applied per unit area in the tangential direction. This concept is critical for understanding how stresses develop in a flowing liquid.

Velocity Gradient

The velocity gradient, often represented as the rate of change of velocity with respect to distance perpendicular to the direction of flow, quantifies how quickly the velocity changes between adjacent layers in a fluid. It directly affects the magnitude of shear stress and is a crucial factor in fluid dynamics and the study of viscous effects.

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