In this article, we have studied the flow and heat transfer in Sisko fluid with convective boundary condition over a nonisothermal stretching sheet. The flow is influenced by non-linearly stretching sheet in the presence of a uniform transverse magnetic field. The partial differential equations governing the problem have been reduced by similarity transformations into the ordinary differential ...

Although understanding the collective migration of cells, such as that seen in epithelial sheets, is essential for understanding diseases such as metastatic cancer, this motion is not yet as well characterized as individual cell migration. Here we adapt quantitative metrics used to characterize the flow and deformation of soft matter to contrast different types of motion within a migrating shee...

Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphsons method and are solved by Gaussian el...

Steady, incompressible flow solutions are found numerically for a radially expanding liquid sheet in order to confirm analytical results for inviscid flow and to investigate viscous and nonlinear effects. An hp-finite element method is used to perform the numerical simulations. Comparisons are made to theoretical predictions of the radius where the sheet becomes unstable. To determine the criti...

Given a sheet of paper and a prescribed folding of its boundary, is there a way to fold the paper’s interior without stretching so that the boundary lines up with the prescribed boundary folding? For polygonal boundaries nonexpansively folded at finitely many points, we prove that a consistent isometric mapping of the polygon interior always exists and is computable in polynomial time.

The combined effects of Newtonian heating and magnetohydrodynamics (MHD) in a flow of a Jeffery fluid are analyzed in stagnation point flow over a radially stretching surface. The governing equations are modeled by invoking boundary layer analysis. The computed solution by a homotopy approach is valid in the spatial domain. Graphical results for the velocity and temperature fields are displayed...