Some Simple Representative Flows of a Viscous Fluid
摘要
Flows of real fluids (also called the V!viscous fluids) are categorized as being laminar, transitional flows, or turbulent. Transitional flowsLaminar flows Turbulent flowsTurbulent flows are always unsteady, and the velocity field therein is always 3C and 3D.Viscous fluids Further, turbulent flows are always associated with non-zero vorticity. In contrast, laminar flows can be steady or unsteady, and their velocity field can be 3C, 2C, or even 1C. Transitional flows, too, are always unsteady. The onset of transnational regime coincides with the demise of the laminar nature of a flow field. Without delving into any advanced topics explaining why and how a flow field may behave as transitional/turbulent, we wish to focus only on laminar flow fields in this book. Again, the author would like to remind the reader that, in this chapter, our aim is to consider some special viscous flow fields wherein the Navier–Stokes equation set of a constant density flow field ( 5.110 ) can be reasonably simplified to the extent that we can solve them without the need to have any advanced CFD technique. The solution obtained thereupon can be used to develop some insights into the velocity and pressure fields of a real fluid. Specifically, there are two such flow fields examined in this chapter: steady laminar flow over a flat plate, and steady laminar flow between two parallel plates.