1 The flow properties at the leading edge of a flat plate represent a singularity to the Blasius laminar boundary layer equations; by applying the Lagrangian approach the leading edge velocity profiles of the laminar boundary layer over a flat plate are studied. Experimental observations as well as the theoretical analysis show an exact Gaussian distribution curve as the original starting profi...

Polyethylene pipes are widely used in the trickle irrigation system. The main objective of this research work is to determine friction factors for type pipes. A field study was carried out on two laterals each which about 240 m length. One line had 18.5 mm inside diameter, other consisted parts, first 21.5 diameter and 17 diameter. measured factor compared by corresponding given conventional fo...

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...

The introduction of a lattice converts a singular boundary-layer problem in the continuum into a regular perturbation problem. However, the continuum limit of the discrete problem is extremely nontrivial and is not completely understood. This paper examines two singular boundary-layer problems taken from mathematical physics, the instanton problem and the Blasius equation, and in each case exam...

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method of solving nonlinear ordinary differential equations could be proved are formulated and elaborated. The generalization of the proof to partial differential equations is straight forward. The method, whose mathematical basis in physics was discussed recently by one of the present ...

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...

Abstract The present work studies the effects of physical parameter characterizing laminar flow regime, namely Strouhal number, on evolution unsteady dynamic boundary-layer developed along a wedge surface. Similarity method is used to transform momentum equation dimensionless form. Using superposition between diffusion and convective flows solutions, an ad hoc velocity profile formula proposed....

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 ...