The phenomenological theory of thermodynamic coupling in multicomponent compressible laminar boundarylayers
Abstract
Thermodynamic couplings due to thermal diffusion, diffusionthermo, and ob aliam diffusion effects in multicomponent compressible laminar boundarylayers and in stagnationpoint flows with blowing or suction, are analyzed, and compared with other available analyses for simpler specific cases. The mathematical treatment includes new definitions of generalized Prandtl, Lewis and Schmidt numbers for coupled heat and multicomponent mass transfer. Using matrix notation and introducing new transformations, the energy and the species conservations equations are decoupled and transformed into a widely useful single compact energy species equations. For frozen multicomponent boundarylayer flows, the generalized energyspecies equation is of the same form as the energy equation for the simplest case, i.e. the energy equation in terms of total enthalpy for singlecomponentboundarylayer flows in the absence of thermodynamic coupling. Hence solutions for generalized flows, which are presented in transformed forms, are obtainable from known solutions of the "simpler" cases. Similar solutions of coupled heat transfer at the stagnation point with and without blowing or suction are analyzed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1974
 Bibcode:
 1974STIN...7517609T
 Keywords:

 Compressible Boundary Layer;
 Thermodynamic Coupling;
 Heat Transfer;
 Laminar Boundary Layer;
 Matrices (Mathematics);
 Thermal Diffusion;
 Fluid Mechanics and Heat Transfer