By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

by means of he's homotopy perturbation method (hpm) an approximate solution of velocity eld is derived for the ow in straight pipes of non-newtonian uid obeying the sisko model. the nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to he. furthermore, the obtained solutions for velocity eld is graphically sketched and compared w...

A general purpose package in Mathematica environment for the automatic computation of non-newtonian ow equations is developed and presented. The software allows the user to choose among three coordinate systems and four diierent uid models. Changing of variables, scaling and other formal manipulation of the equations are also possible.

A fully Lagrangian nite element method for the analysis of Newtonian ows is developed. The approach furnishes, in e ect, a Lagrangian implementation of the compressible Navier–Stokes equations. As the ow proceeds, the mesh is maintained undistorted through continuous and adaptive remeshing of the uid mass. The principal advantage of the present approach lies in the treatment of boundary conditi...

The non{linear dynamics of self{gravitating collisionless matter with vanishing vorticity is studied in a general relativistic framework, using synchronous and comoving (i.e. Lagrangian) coordinates. Writing the equations in terms of the metric tensor of the spatial sections orthogonal to the uid ow allows an unambiguous expansion in inverse powers of the speed of light. The Newtonian and post{...

A numerical method for simulating the extensional dynamics of elongating ®laments of non-Newtonian ̄uids in a ®lament stretching rheometer is presented. The boundary element method, in conjunction with either the Oldroyd-B or the generalized multimode Upper-Convected Maxwell constitutive model, is used to calculate the transient evolution of the liquid interface, the applied force on the station...

objective(s): one applications of nanotechnology is in the area of medicine which is called nanomedicine. primary instruments in nanomedicine can help us to detect diseases and used for drug delivery to inaccessible areas of human tissues. an important issue in simulating the motion of nanoparticles is modeling blood flow as a newtonian or non-newtonian fluid. sometimes blood flow is simulated ...

Objective(s): One applications of nanotechnology is in the area of medicine which is called nanomedicine. Primary instruments in nanomedicine can help us to detect diseases and used for drug delivery to inaccessible areas of human tissues. An important issue in simulating the motion of nanoparticles is modeling blood flow as a Newtonian or non-Newtonian fluid. Sometimes blood flow is simulated ...

flow field and heat transfer of a nanofluid, whose non-newtonian behavior has been demonstrated in the laboratory, in a square enclosure have been numerically modeled and investigated. to estimate the viscosity of nanofluid, experimental data of hong and kim, 2012 have been used, and a new model has been proposed. finally, the obtained results have been compared to those of newtonian behavior. ...

in the current study, the immersed boundary – non-newtonian lattice boltzmann method is developed for simulation of forces act on a particle and also for computation of the particle velocity in vicinity of non-newtonian fluids. in this research, the effect of extra force due to accelerated mass is also considered in non-newtonian particle motion equations. two applied problems of power-law non-...