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In fluid dynamics, Stokes' law is an empirical law for the frictional force – also called drag force – exerted on spherical objects with very small Reynolds numbers in a viscous fluid. It was derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the Navier–Stokes equations .
Feb 2, 2023 · What is Stokes’ Law. Stokes’ law is a mathematical equation for the drag force experienced by small spherical particles passing through a viscous fluid medium. It deals with the resistive ( friction) force applied to a body under the action of gravity as it is dropped into a fluid – liquid or air.
Stokes’s law, mathematical equation that expresses the settling velocities of small spherical particles in a fluid medium. Stokes’s law finds application in several areas, particularly with regard to the settling of sediment in fresh water and to measurements of the viscosity of fluids.
What is Stoke’s Law? Stoke’s Law is a mathematical equation that expresses the settling velocities of the small spherical particles in a fluid medium. The law is derived considering the forces acting on a particular particle as it sinks through the liquid column under the influence of gravity.
Stokes Law gives the relation between the velocity and frictional force acting on a spherical body moving in a viscous fluid. This law also gives the settling or terminal velocities of spherical objects moving in a viscous fluid column.
This gives us Stokes’ Law. ζ = 6πηRh (14.2.1) (14.2.1) ζ = 6 π η R h. Here Rh is referred to as the hydrodynamic radius of the sphere, the radius at which one can apply the no-slip boundary condition, but which on a molecular scale may include water that is strongly bound to the molecule.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only for low Reynolds number fluids, meaning that it is applicable only when the fluid flow is laminar and not turbulent.
Stokes' law is important in Millikan's experiment for the measurement of the charge on an electron, and it also explains why large raindrops hurt much more than small ones when they fall on you - it's not just that they are heavier, they are actually falling faster.
Sir George Gabriel Stokes was an Irish pioneer in the field of fluid dynamics, living in the late 19th century. He also made major contributions in other fields such as mathematics, biochemistry and light. However, in this course, we will focus on his discovery of the creep flow theorem.
In 1851, George Gabriel Stokes derived an expression, now known as Stokes' law, for the frictional force – also called drag force – exerted on spherical objects with very small Reynolds numbers (e.g., very small particles) in a continuous viscous fluid.
