In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations. We obtain some simple closed-form steady-state solutions of these reduced equations. Our solutions are valid for the whole domain [0,∞) and also satisfy the physical boundary con...

background: screening of students ´ health problems could lead to timely prevention and control of many health disorders. this study aimed to determine the nationwide prevalence of common disorders through school health screening program in iran methods: this cross-sectional national screening program was conducted in 2007-2008 among first- and third-grade- stu­dents in primary schools, first- ...

This paper investigates the influence of slip condition on unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible third grade fluid with temperature dependent viscosity. Both cases of lift and drainage problems are considered. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. Exact analytic solutions...

This investigation deals with the combined effects of Navier slip, suction/injection, convective cooling and temperature dependent viscosity on an unsteady third grade fluid flow in a porous channel filled with saturated porous medium. The heat exchange with the ambient at the channel surfaces is assumed to obey Newton’s law of cooling. The model equations governing the flow system are solved u...

We consider a model of third grade viscous Korteweg--type fluid in three space dimensions, and apply the extended Liu procedure order to explicitly solve constraints imposed by entropy principle on non--local constitutive relations. detail algorithm we use, are able characterize material functions involved equations. In natural way, application allows us recover an extra term flux, preserving a...

This paper provides a comparative study of the Variational Iteration Method (VIM) and the Adomian Decomposition Method (ADM) to obtain analytic approximations of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. An excellent agreement is observed between the series solutions for the velocity field obtained by these two methods. This comparison is ben...

Papillary ependymoma is a rare tumor that may be located along the ventricular walls or within the spinal cord. We report the case of a 54-year-old patient with a papillary ependymoma WHO grade II arising at the entrance of the aqueduct. The tumor caused hydrocephalus. The tumor was completely removed via a right-sided endoscopic approach with restoration of the aqueduct. The free cerebrospinal...

In this study, the analysis of inherent irreversibility of chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling is investigated. The dissipative heat in a reactive exothermic chemical moves over liquid in an irreversible way and the entropy is produced unceasingly in the system within the fixed walls. The heat convective exchange with the surrounding tem...

New analytic solutions for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid have been derived. The generalized second-grade fluid saturates the porous space. Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique for the fractional calculus. The o...