A viscous discrete adjoint approach to automatic aerodynamic shape optimization is developed, and the merits of the viscous discrete and continuous adjoint approaches are discussed. The viscous discrete and continuous adjoint gradients for inverse design and drag minimization cost functions are compared with finite-difference and complex-step gradients. The optimization of airfoils in two-dimen...

The unsteady RANS equations are solved for the internal flow through the first one and a half stages of a transonic compressor operating in an off-design condition. To establish a steady performance prediction, the mixing-plane method is used and reasonable comparison to experimental data is obtained for the design configuration. To predict the fully unsteady flow, the sliding-mesh method is us...

an attempt is made for the first time to solve the quadratic and cubic model of magneto hydrodynamic poiseuille flow of phan-thein-tanner (ptt). series solution of magneto hydrodynamic (mhd) flow is developed by using homotopy perturbation method (hpm). results are presented graphically and the effects of non-dimensional parameters on the flow field are analyzed. the results obtained reveals ma...