In this paper, we have proposed a Haar wavelet quasilinearization method to solve the well known Blasius equation. The method is based on the uniform Haar wavelet operational matrix defined over the interval [0, 1]. In this method, we have proposed the transformation for converting the problem on a fixed computational domain. The Blasius equation arises in the various boundary layer problems of...

We construct a new finite difference method for computing reference numerical solutions to the one–parameter family of Blasius’ problems arising from incompressible laminar flow past a thin flat plate with mass transfer by both suction and blowing. We show that, by studying several representative problems in the family, the method generates nodal approximations, at a finite number of nodes, to ...

A theoretical investigation is performed for studying the flow of heat transfer characteristics of Sakiadis and Blasius flow of magnetohydrodynamic Maxwell fluid with thermal radiation. We also incorporated the Cattaneo-Chirstov heat flux model to control the heat transfer phenomena. Numerical solutions are carried out by using Shooting technique. The effects of various governing parameters on ...

Blasius problem is the simplest nonlinear boundary layer problem. We hope that any approach developed for this epitome can be extended to more difficult hydrodynamics problems. With this motivation we review the so called Töpfer transformation, which allows us to find a non-iterative numerical solution of the Blasius problem by solving a related initial value problem and applying a scaling tran...

The generalized equation of Blasius arises in the boundary layer problems of hydrodynamics. We consider the decomposition solutions [10] of the Blasius equation u + auu = 0 and compare them to our numerical solutions.

The present article investigated the unsteady flow of a nanofluid past an isothermal magnetized plate emanating from moving slot. This unique form boundary layer is analogous to stretching/shrinking sheet problems subject direction motion Governing partial differential equation can be reduced into similar using Blasius–Rayleigh–Stokes variable. consequences movable slot and magnetic field on he...

One of the simplest problems involving external vorticity in boundary layer flows is flow over a semi-infinite plate under stream uniform shear. We study transient growth phenomenon this to investigate role freestream shear on energy amplification and analyze differences with Blasius flow. The initial optimal disturbance that triggers maximum found be streamwise vortices, as other flows. Compar...