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

Lavar Isaacson

doi:10.3390/e18080279

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.

Highlights

Entropy generation rates for corner flows with sidewall mass injection were reported by the author in a previous article [1]
These computations indicated the generation of non-equilibrium ordered structures at a normalized vertical station of approximately thirty-eight percent of the normalized laminar boundary layer thickness
The present article presents additional computations for entropy generation rates predicted at a normalized vertical station of approximately eighteen percent of the normalized laminar boundary layer thickness for corner flows with a variety of injection mass velocities

Summary

Introduction

Entropy generation rates for corner flows with sidewall mass injection were reported by the author in a previous article [1] These computations indicated the generation of non-equilibrium ordered structures at a normalized vertical station of approximately thirty-eight percent of the normalized laminar boundary layer thickness. The first computational component is the calculation of the steady flow laminar velocity profiles along the horizontal surface in the stream wise-vertical (x-y) plane and the steady flow orthogonal boundary layer profile in the span wise-vertical (z-y) plane. These profiles are computed using the program listings provided by Cebeci and Bradshaw [2] and Cebeci and Cousteix [3]. The similarity characteristics for these orthogonal profiles proved by Hansen [4] justify the simultaneous use of these profiles in our three-dimensional flow configuration

Results

Discussion

Conclusion