Momentum, heat, and mass transfer in turbulent non‐Newtonian boundary layers

The boundary‐layer equations and a Blasius type of relationship between f and N Re gen are used to derive expressions for velocity distribution, local boundary‐layer thickness, local shear stress, and total drag force for the turbulent boundary‐layer flow of a power law non‐Newtonian fluid across a flat plate at zero incidence. Relationships are derived for the velocity at the edge of the laminar sublayer and for the thickness of the laminar sublayer. An analogy between heat and momentum transfer is then used to obtain expressions for local and mean values of the heat transfer coefficient in a turbulent thermal boundary layer for power law materials flowing over flat plates. Analogous extensions to mass transfer are indicated. A tentative criterion is suggested for characterizing the transition from laminar to turbulent boundary‐layer flow of power law fluids. Relationships combining the effects of a part laminar, part turbulent boundary layer are presented.