Triple-deck theory of supersonic laminar viscous–inviscid interaction due to wall temperature jumps

The short-ranged local viscous–inviscid interaction field generated by a wall temperature jump on a flat plate in supersonic flow is studied in detail with an analytical triple-deck model. Treatment of the rapid heat transfer changes both upstream and downstream of the jump is included. Closed-form relationships for the pressure and heating variations, including upstream influence, are derived from triple-deck theory and are found to be in good agreement with numerical solutions of the compressible Navier–Stokes equations. Such relationships not only clarify the interactive physics involved, but also are useful in preliminary design of thermal protection systems and as an insertable module to improve computational fluid dynamics code efficiency when applied to such small-scale interaction problems.