You mean e.g. this one ? (I googled 'stokes drag derivation' and this was on top).ThinkerCorny said:I was looking for the derivation of stoke's drag
F=6πηrv
But I'm only getting the derivation by dimensional analysis.
Can anyone please provide it's real derivation?
I'll really appreciate it.
Stoke's drag is a force that opposes the motion of an object through a fluid, such as air or water. It is named after George Gabriel Stokes, who first described this type of drag in 1845.
Stoke's drag is calculated using the equation FD = 6πμrv, where FD is the drag force, μ is the viscosity of the fluid, r is the radius of the object, and v is the velocity of the object.
The factors that affect Stoke's drag include the viscosity of the fluid, the size and shape of the object, and the velocity of the object. Other factors such as surface roughness and the presence of other objects in the fluid can also have an impact.
Stoke's drag is a type of viscous drag, which is caused by the friction between the fluid and the surface of the object. Other types of drag include pressure drag, which is caused by the difference in pressure between the front and back of an object, and form drag, which is caused by the shape of an object.
Stoke's drag is an important concept in the study of fluid mechanics and is used in various applications, such as designing efficient vehicles and predicting the behavior of particles in fluids. Understanding Stoke's drag is also crucial in fields such as aerodynamics, hydrodynamics, and oceanography.