In this study, a new approach isintroduced to solve Blasius differential equation using of ImperialistCompetitive Algorithm (ICA). This algorithm is inspired by competitionmechanism among Imperialists and colonies and has demonstrated excellent capabilitiessuch as simplicity, accuracy, faster convergence and better global optimumachievement in contrast to other evolutionary algorithms. The obta...

‎The ‎method ‎of ‎quasilinearization ‎is ‎an ‎effective ‎tool ‎to ‎solve nonlinear ‎equations ‎when ‎some ‎conditions‎ on ‎the ‎nonlinear term ‎of ‎the ‎problem ‎are ‎satisfi‎‎ed. ‎W‎hen ‎the ‎conditions ‎hold, ‎applying ‎this ‎techniqu‎e ‎gives ‎two ‎sequences of ‎coupled ‎linear ‎equations‎ and ‎the ‎solutions ‎of ‎th‎ese ‎linear ‎equations ‎are quadratically ‎convergent ‎to ‎the ‎solution ‎o...

In fluid dynamical systems, it is not known a priori whether disturbances grow either in space or in time or as spatiotemporal structures. For a zero pressure gradient boundary layer (also known as the Blasius boundary layer), it is customary to treat it as a spatial problem, and some limited comparison between prediction and laboratory experiments exist. In the present work, the two-dimensiona...

We study the asymptotic behavior of Oleinik’s solution to steady Prandtl equation when outer flow $$U(x)=1$$ . Serrin proved that converges famous Blasius $${\bar{u}}$$ in $$L^\infty _y$$ sense as $$x\rightarrow +\infty $$ The explicit decay estimates $$u-{\bar{u}}$$ and its derivatives were by Iyer (ARMA 237,2020) initial data is a small localized perturbation profile. In this paper, we prove ...

Abstract This work is devoted to the analysis of linear temporal stability a laminar dynamic boundary layer on horizontal porous plane plate. The basic flow assumed be and two-dimensional. velocity profiles are obtained by numerically solving Blasius equation using Runge-Kutta method. perturbations these solutions expressed in form three-dimensional Tollmien-Schlichting waves. formulation probl...

Results from direct numerical simulations for three dimensional Rayleigh-Bénard convection in a cylindrical cell of aspect ratio 1/2 and Pr = 0.7 are presented. They span five decades of Ra from 2× 10 to 2× 10. Good numerical resolution with grid spacing ∼ Kolmogorov scale turns out to be crucial to accurately calculate the Nusselt number, which is in good agreement with the experimental data b...

The optimum suction distribution which gives the longest laminar region for a given total suction is computed. The goal here is to provide the designer with a method to find the best suction distribution subject to some overall constraint applied to the suction. We formulate the problem using the Lagrangian multiplier method with constraints. The resulting non-linear system of equations is solv...