The non-similar solutions for the unsteady flow of a second grade fluid wereconstructed. The method of perturbation was used for the solution of the governing non-linear equation. The results of Rajagopal et al. (Int. J. Non-Linear Mechanics, 1983) can be obtained as a special case of the presented analysis.

BACKGROUND In Curitiba, systemic hypertension (SH) is the second leading cause of hospitalization and the leading cause of death from cardiovascular diseases. The protocols for the treatment of hypertension provide a systematic approach to patient management, aiming at improving the efficiency and quality of health services. OBJECTIVE To evaluate medical professionals' compliance with the pro...

Non-solitonic examples of the application of geometrical and topological methods in plasma physics and magnetohydrodynamics (MHD) are given. The first example considers the generalization of magnetic helicity to gravitational torsion loop. The second example considers also the application of this same torsion loop metric to some problems of helical fields in MHD dynamo theory. In the last examp...

For understanding the structure of an MHD-scale Kelvin-Helmholtz Instability (KHI) in a non-linear stage, we have performed two-dimensional two-fluid simulations including finite electron inertial effects. In the twofluid system, magnetic reconnection occurs spontaneously because the ’frozen-in’ condition can be broken by the electron inertial effects. When an MHD-scale velocity shear exists, a...

An analysis of the magnetohydrodynamic (MHD) unsteady convective flow of a viscoelastic (second grade) fluid through a porous medium filled in a vertical channel is carried out. One of the porous plates of the channelthrough which the fluid is injected is subjected to a slip-flow condition and the other through which the fluid is sucked to a no-slip condition. The pressure gradient in the chann...

An attempt is made for the first time to solve the quadratic and cubic model of magneto hydrodynamic Poiseuille flow of Phan-Thein-Tanner (PTT). A series solution of magneto hydrodynamic (MHD) flow is developed by using homotopy perturbation method (HPM). The results are presented graphically and the effects of non-dimensional parameters on the flow field are analyzed. The results reveal many i...

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...

In this work, we have carried out the influence of temperature dependent viscosity on thin film flow of a magnetohydrodynamic (MHD) third grade fluid past a vertical belt. The governing coupled non-linear differential equations with appropriate boundary conditions are solved analytically by using Adomian Decomposition Method (ADM). In order to make comparison, the governing problem has also bee...