Basset force

In a body submerged in a fluid, unsteady forces due to acceleration of that body with respect to the fluid, can be divided into two parts: the virtual mass effect and the Basset force.

[1] The Basset term accounts for viscous effects and addresses the temporal delay in boundary layer development as the relative velocity changes with time.

The Basset force is difficult to implement and is commonly neglected for practical reasons; however, it can be substantially large when the body is accelerated at a high rate.

[2] This force in an accelerating Stokes flow has been proposed by Joseph Valentin Boussinesq in 1885 and Alfred Barnard Basset in 1888.

[3][4] Consider an infinitely large plate started impulsively with a step change in velocity—from 0 to u0—in the direction of the plate–fluid interface plane.