yeah, that's the so called "modified pressure" right? i hardly managed to get that but still almost no source of information talks about that...pasmith said:
Stokes flow refers to a type of fluid flow that is characterized by low Reynolds numbers, which means that the inertial forces are much smaller than the viscous forces. In this type of flow, the fluid particles move in a smooth, laminar manner.
External forces on Stokes flow refer to the forces that act on the fluid from outside the system, such as gravity, pressure gradients, and external body forces. These forces can affect the behavior and movement of the fluid particles in Stokes flow.
The external forces on Stokes flow can be calculated using the Navier-Stokes equations, which are a set of partial differential equations that describe the motion of a viscous fluid. These equations take into account the various external forces acting on the fluid.
External forces play a crucial role in determining the behavior of fluids in Stokes flow. They can affect the velocity, pressure, and other properties of the fluid, and can also influence the overall flow pattern. Understanding these forces is important in various applications, such as in the design of microfluidic devices and in the study of biological systems.
The presence of external forces can affect the stability of Stokes flow. For example, gravity can cause a fluid to become unstable and transition from laminar flow to turbulent flow. Pressure gradients can also lead to instabilities in the flow. Understanding these effects is important in predicting and controlling the behavior of fluids in Stokes flow.