The Adjoint Parabolized Stability Equations (APSE) are used to predict the receptivity of boundary layers to a variety of disturbances. The method is validated through comparisons to direct solutions of the linearized Navier–Stokes (LNS) and adjoint Navier–Stokes (ANS) equations and APSE is found to accurately predict receptivity with significant gains in efficiency compared to Navier–Stokes ba...

Abstract The transition process from a laminar to turbulent flow near solid wall (e.g., at the suction side of slender airfoil) is still not fully understood. We focus on early stage based boundary layer (BL) theory, that is, high Reynolds number asymptotic expansions, which reduce Navier–Stokes equations into simplified forms. While steady solutions resulting classical BL and corresponding reg...

Abstract An analytical model of the Blasius flow is studied including temperature-dependent fluid properties and viscous dissipation. The friction coefficient Nusselt number at wall are calculated from resulting dimensionless velocity temperature fields. variable compared to a constant verify if under which conditions this simplification valid. Air, water oil analyzed as fluids over representat...