A Eulerian fixed grid approach to simulate the dynamics of two-phase interfaces in the presence of surface tension forces is presented. This level set/vortex sheet method consists of a simplified system of equations that contain individual source terms describing the relevant physical processes at the phase interface explicitly. Hence, this approach provides a framework that will allow for a si...

A steady three-dimensional Magnetohydrodynamic (MHD) boundary layer viscous flow and heat transfer due to a permeable stretching sheet with prescribed surface heat flux is studied in presence of a uniform applied magnetic field transverse to the flow. Using the implicit finite-difference scheme, known as the Keller-box method, the nonlinear ordinary differential equations are solved. The veloci...

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results ob...

Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimizationbased computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial...

The main idea of the present article is to introduce a new computational technique, explicitly, the modified Laplace Padé decomposition method (MLPDM) which is a recipe of Laplace transformation, decomposition technique, and rational polynomial to offer new solution mechanism of magnetohydrodynamics (MHD) flow of an steady viscous, incompressible nonlinear stretching sheet. A good harmony among...

In this study, we investigate analytical treatment of three dimensional MHD viscous flow in a rotating frame. The flow is generated due to uniform stretching of a sheet in x direction. Analytic solution is obtained through peturbation method after transforming the governing partial differential equation to ordinary differential equation using suitable similarity transformations. Graphs are plot...

We revisit the indentation of a thin solid sheet size ${R}_{\mathrm{sheet}}$ suspended on circular hole radius $R\ensuremath{\ll}{R}_{\mathrm{sheet}}$ in smooth rigid substrate, addressing effects boundary conditions at hole's edge. Introducing basic theoretical model for van der Waals (vdW) sheet-substrate attraction, we demonstrate dramatic effect replacing clamping condition (Schwerin model)...

The Wingate Anaerobic Test (WAnT) has been used in many studies to determine anaerobic performance. However, there has been poor reporting of warm-up protocols and limited consistency between warm-up methods that have been used. With the WAnT being such a commonly-used test, consistency in warm-up methods is essential in order to compare results across studies. Therefore, this study was designe...