Viscous Laminar Unsteady Flows - Stokes First Problem

Explore unsteady laminar flows through this 53-minute lecture that examines the transient development of velocity when an infinite flat plate is impulsively set into motion within a semi-infinite quiescent fluid, known as Stokes first problem. Begin with the fundamental principles of unsteady momentum transport, considering how the unsteady momentum transport term interacts with viscosity, pressure gradients, and body forces. Apply dimensional analysis to identify an appropriate similarity variable that combines the wall-normal spatial coordinate and time, leading to the derivation of a self-similar velocity profile. Conclude with a qualitative discussion of the spatial and temporal evolution of the velocity field based on the derived analytical solution, providing insight into this canonical example of viscous flow dynamics.