Temperature Profiles for Liquid Metals and Moderate-Prandtl-Number Fluids

Prediction of heat transfer for turbulent boundary layer with pressure gradient.

“…We therefore combine Eqs. (8) and (10) to eliminate T, thus arriving at a relationship between local mean heat transfer and shear stress. The elimination of T from the equations and the use of the boundary-layer result (l/p)dp/dx=-U 00 dUJdx gives an expression for the local mean Stanton number of the form…”

“…The stress a for which Eqs. (8) are satisfied for arbitrary nonzero values of the four constants then constitutes a local buckling stress for the shell. A computer code was written and used to generate the results that follow.…”

“…These equations have constant coefficients and were solved analytically by standard procedures of the type used by Flugge for cylindrical shells with a single boundary at <p = 0. Four independent solutions with their associated arbitrary constants are obtained and then substituted into the boundary conditions (8). The stress a for which Eqs.…”

The Role of the Turbulent Prandtl Number in Turbine Blade Heat Transfer Prediction

“…Their final turbulent number model is in terms of the molecular Prandtl number and the eddy diffusivity of momentum. 0 Thomas [ 6 ] Feeling that a fresh approach was needed, Thomas developed a turbulent transport model employing an elementary surface renewal and penetration model. He based his model on the idea of diffusive penetration of eddies trough a film, (in this case the viscous sublayer), intermittently renewed by fluid from the region of turbulent flow.…”

The surface renewal model of wall turbulence for boundary layer flow with transpiration

“…(1970,1974), Nicoll et al (1986), and others. An alternative approach to characterizing wall turbulence has evolved over the past few years (Einstein, 1956;Hanratty, 1956;Harriott, 1962; Thomas, 1970Thomas, , 1978Thomas, , 1980Thomas, , 1982 which is believed to provide a better basis for generalization. This surface renewal model treats wall turbulence as an unsteady transport phenomenon, without the use of classical mixing length or eddy viscosity concepts and without the need for developing higher order mean turbulent transport equations for kinetic energy, dissipation, Reynolds stresses, etc., or the need of inputs for turbulent Prandtl number and turbulent Schmidt number.…”