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...

Turbulence enhances the wall shear stress in boundary layers, significantly increasing drag on streamlined bodies. Other flow features such as free stream pressure gradients and streamwise layer growth also strongly influence local skin friction. In this paper, an angular momentum integral (AMI) equation is introduced to quantify these effects by representing them torques that alter shape of me...

In this paper, the computational method (CM) based on standard polynomials has been implemented to solve some nonlinear differential equations arising in engineering and applied sciences. Moreover, novel methods have developed study by orthogonal base functions, namely Hermite, Legendre, Bernstein polynomials. The problem is successfully converted into a algebraic system of equations, which are...

Non-Newtonian flow from a wedge constitutes fundamental problem in chemical<br /> engineering systems and is relevant to processing of polymers, coating systems, etc. Motivated by such applications, the homotopy analysis method (HAM) was employed to<br obtain semi-analytical solutions for thermal convection boundary layer incompressible micropolar fluid two-dimensional body (wedge). Vi...