The objective of this study was to evaluate the hydraulic pressure gradient along lateral line microsprinklers, using Wu and Gitlin model. Mathematical simulations were developed in an electronic spreadsheet Microsoft Excel software (2016). Where adapted equation Blasius model determined, energy line, length (L), number emitters (N), adjusted (Lajst), fitted (Najst), flow velocity (m² s-1) loss...

Preliminary results for a new flat plate test facility are presented here in the form of Computational Fluid Dynamics (CFD), flow visualisation, pressure measurements and thermal anemometry. The results from the CFD and flow visualisation show the effectiveness of the plate design, with the trailing edge flap anchoring the stagnation point on the working surface and reducing the extent of the l...

The generalized Taylor expansion including a secret auxiliary parameter h which can control and adjust the convergence region of the series is the foundation of the homotopy analysis method proposed by Liao. The secret of h can’t be understood in the frame of the homotopy analysis method. This is a serious shortcoming of Liao’s method. We solve the problem. Through a detailed study of a simple ...

In this paper, an optimal homotopy-analysis approach is described by means of the nonlinear Blasius equation as an example. This optimal approach contains at most three convergence-control parameters and is computationally rather efficient. A new kind of averaged residual error is defined, which can be used to find the optimal convergence-control parameters much more efficiently. It is found th...

Abstract: In this paper we present a mathematical analysis for a steady-state laminar boundary layer flow, governed by the Ostwald-de Wael power-law model of an incompressible nonNewtonian fluid past a semi-infinite power-law stretched flat plate with uniform free stream velocity. A generalization of the usual Blasius similarity transformation is used to find similarity solutions [1]. Under app...

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 ...

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method could be proved are formulated and elaborated. The method, whose mathematical basis in physics was discussed recently by one of the present authors (VBM), approximates the solution of a nonlinear differential equation by treating the nonlinear terms as a perturbation about the li...

A turbulent potential model is applied to predict the transition in boundary flows. Without assuming any constitutive relation between the turbulence and mean flow variables, this model has the ability to accurately predict strong non-equilibrium flows, but the computation cost for this is only comparable to two equation models and so is the model complexity. Model predictions for a number of t...

Exact analytical solutions of boundary layer flows along a vertical porous plate with uniform suction are derived and presented in this paper. The solutions concern the Blasius, Sakiadis, and Blasius-Sakiadis flows with buoyancy forces combined with either MHD Lorentz or EMHD Lorentz forces. In addition, some exact solutions are presented specifically for water in the temperature range of 0◦C ≤...

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...