Impact of wall-heating on the development of crossflow instability

Abstract

Efficient thermal management is critical for future electric aircraft. An innovative approach (Outer Mold Line cooling) leverages the aircraft’s aerodynamic surfaces for heat dissipation, heating the adjacent boundary layer. It is known that wall-heating can have detrimental effects on laminar–turbulent transition driven by stationary crossflow instabilities (S-CFI). However, its impact remains largely unclear due to a lack of experimental studies. This work investigates the effect of a heated wall across all stages of S-CFI development, spanning linear growth, non-linear saturation, and laminar-turbulent transition. This is achieved through comprehensive wind-tunnel experiments, complemented by comparisons with Compressible Nonlinear Parabolized Stability Equations (CNPSE) results. Results show that wall-heating increases the boundary-layer momentum deficit and the crossflow velocity component, leading to increased destabilization of S-CFI. In turn, higher S-CFI amplitudes promote an earlier onset of non-linear interactions between stationary, traveling, and secondary instability modes. Notably, under equivalent freestream turbulence (Tu[jls-end-space/]) levels, wall-heating results in a higher S-CFI saturation amplitude compared to adiabatic conditions. In addition, spectral analysis reveals substantial amplification of unsteady perturbations with wall-heating. A key finding of this work is the strong destabilization of traveling CFI under wall-heating, which persists into the nonlinear regime and yields highly amplified type-III instabilities. One possible implication of the strong destabilization of T-CFI and type-III instabilities is that at sufficiently high wall-to-freestream temperature ratios, T-CFI could dominate the transition process, potentially leading to a transition scenario similar to that observed under high levels of freestream turbulence.