In this article, the problem of an incompressible viscous flow over a flat plate is presented. The homotopy perturbation method (HPM) is employed to solve the well-known Blasius nonlinear differential equation. It has been tried to use a new technique by which one be able to obtain solutions that are very close to the exact solution of the equation. The obtained results have been compared with ...

The Navier-Stokes equations for the boundary layer are transformed, by a similarity transformation, into the ordinary Blasius differential equation which, together with appropriate boundary conditions constitutes the Blasius problem, f ′′′(η) + 1 2 f(η)f ′′(η) = 0, f(0) = 0, f ′(0) = 0, f ′(∞) = 1. The well-posedness of the Navier-Stokes equations is an open problem. We solve this problem, in t...

As the number of applications of micro electro mechanical systems, or MEMS, increase, the variety of flow geometries that must be analyzed at the micro-scale is also increasing. To date, most of the work on MEMS scale fluid mechanics has focused on internal flow geometries, such as microchannels. As applications such as micro-scale flyers are considered, it is becoming necessary to consider ext...

225 Abstract— The porosity effects on the flow and heat transfer characteristics of the Blasius and Sakiadis flow in a nanofluid in the presence of thermal radiation. The resulting system of nonlinear partial differential equations is solved numerically using an efficient numerical shooting technique with a fourth-order Runge–Kutta scheme. The solutions for the flow and heat transfer characteri...

We construct a new numerical method for computing reference numerical solutions to the self–similar solution to the problem of incompressible laminar flow past a thin flat plate with suction–blowing. The method generates global numerical approximations to the velocity components and their scaled derivatives for arbitrary values of the Reynolds number in the range [1,∞) on a domain including the...

Endotracheal tubes (ETTs) constitute a resistive extra load for intubated patients. The ETT pressure drop (DeltaP(ETT)) is usually described by empirical equations that are specific to one ETT only. Our laboratory previously showed that, in adult ETTs, DeltaP(ETT) is given by the Blasius formula (F. Lofaso, B. Louis, L. Brochard, A. Harf, and D. Isabey. Am. Rev. Respir. Dis. 146: 974-979, 1992)...

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 ≤...