Entropy Generation through Non-Equilibrium Ordered Structures in Corner Flows with Sidewall Mass Injection

Abstract

Additional entropy generation rates through non-equilibrium ordered structures are predicted for corner flows with sidewall mass injection. Well-defined non-equilibrium ordered structures are predicted at a normalized vertical station of approximately eighteen percent of the boundary-layer thickness. These structures are in addition to the ordered structures previously reported at approximately thirty-eight percent of the boundary layer thickness. The computational procedure is used to determine the entropy generation rate for each spectral velocity component at each of several stream wise stations and for each of several injection velocity values. Application of the procedure to possible thermal system processes is discussed. These results indicate that cooling sidewall mass injection into a horizontal laminar boundary layer may actually increase the heat transfer to the horizontal surface.

Entropy Generation through the Interaction of Laminar Boundary-Layer Flows: Sensitivity to Initial Conditions

“…These equations are written in a Lorenz form (Sparrow [2]) and solved for the flow configuration shown in Figure 1. The mathematical bases and the corresponding computer program listings employed for these calculations have been discussed previously in Isaacson [3] [4] [5].…”

“…In Section 2, the laminar boundary-layer flow configuration considered in this study is described. In Section 3, eighteen sets of initial conditions for the integra- Isaacson [3] [4] [5], and Hellberg and Orszag [7] are transformed into the spectral plane and written as modified Lorenz equations. Computational results for the time-dependent spectral velocity components are discussed.…”

Entropy Generation Rates through the Dissipation of Ordered Regions in Helium Boundary-Layer Flows

“…These equations are cast in a Lorenz format and solved with the three-dimensional helium boundary layer profiles as input parameters. The computational procedures employed for these calculations have been presented previously in Isaacson [1,2]. This article follows closely the format of [2], indicating the major mathematical equations used in the computational procedures.…”

“…The computational procedures employed for these calculations have been presented previously in Isaacson [1,2]. This article follows closely the format of [2], indicating the major mathematical equations used in the computational procedures. The purpose of this approach is to provide the reader the opportunity to follow the equations as they are presented, rather than requiring a continuous reference to previous literature.…”

“…The computational procedure used for the studies reported in [1,2] consists of two fundamental thermodynamic components. The first component, classified as the thermodynamic reservoir, is made up of the three-dimensional steady laminar boundary layer velocity profiles in the x-y and the z-y planes of the flow.…”