Global Stability Analysis of the Spatially Developing Boundary Layer: Effect of Wall Suction and Injection

The laminar boundary layer’s global temporal modes have been computed under the effect of suction and injection at the wall. The base velocity profile of the boundary layer has affected significantly by the mass transpiration in through the wall in the normal to flow direction. The governing stability equations have been derived using standard procedures. A spectral collocation method with the Chebyshev polynomials have been used for the discretization of the stability equations. The two-dimensional eigenvalues problem has been formed and solved using Arnoldi’s algorithm. The different rates of suction and injection (V<inf>w</inf> = 0.01, 0.025, and 0.050) at Re = 226 were considered to study the temporal and spatial growth of the small disturbances. It has been observed that an increased rate of suction has a stabilization effect, and injection has destabilization effect.