Turbulent Shear Flows Described by the Algebraic Difference-Quotient Turbulence Model

It is shown that Newton's shear law for laminar flow and the DifferenceQuotient Turbulence Model (DQTM) for turbulent flow are the analog constitutive laws describing the relations between shear strain rate and shear stress. Whereas the laminar case is fully linear and local, the turbulent counterpart is nonlinear and nonlocal. In this brief article the capacity of the newmodel is outlined by quoting references and related articles which contain results of convincing simplicity and accuracy and a presentation and discussion of the resulting analytical solutions of plane turbulent Couette flow. Newton's linear velocity profile between sheared plates for laminar flow is embedded in this solution as a special case. The solution of the corresponding nonlinear differential equation also reveals a cooperative phenomenon.