This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient tec...

The purpose of the present paper is to study an unsteady laminar flow and heat transfer of an incompressible, conducting viscous dusty fluid between two infinitely non-conducting parallel plates. The flow is influenced by pulsatile pressure gradient, uniform magnetic field which is applied perpendicular to the plates and due to oscillations of the plates. The governing partial differential equa...

The three-dimensional, incompressible, unsteady NavierStokes equations are discretized by the spectral element method based on Legendre polynomials. High-order projection methods and a subcycling method are constructed in such a way that third-order advancement in time can be obtained. The preconditioning of the pressure operator is briefly discussed. The resulting iterative spectral element so...

In this study, the Spectral Relaxation Method (SRM) is used to solve the coupled highly nonlinear system of partial differential equations due to an unsteady flow over a stretching surface in an incompressible rotating viscous fluid in presence of binary chemical reaction and Arrhenius activation energy. The velocity, temperature and concentration distributions as well as the skin-friction, hea...

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...

We propose a model for planar carangiform swimming based on conservative equations for the interaction of a rigid body and an incompressible fluid. We account for the generation of thrust due to vortex shedding through controlled coupling terms. We investigate the correct form of this coupling experimentally with a robotic propulsor, comparing its observed behavior to that predicted by unsteady...

We present in this paper a numerical scheme for incompressible Navier-Stokes equations with open and traction boundary conditions, in the framework of pressure-correction methods. A new way to enforce this type of boundary condition is proposed and provides higher pressure and velocity convergence rates in space and time than found in the present state of the art. We illustrate this result by c...

This paper presents our numerical results of the application of Isogeometric Analysis (IGA) to the velocity–pressure formulation of the steady state as well as to the unsteady incompressible Navier–Stokes equations. For the approximation of the velocity and pressure fields, LBB compatible B-spline spaces are used which can be regarded as smooth generalizations of Taylor–Hood pairs of finite ele...

The operation of a micro-pump system driven by a magnetoelastic polymeric membrane developed at Texas A&M University is analyzed by numerical simulations. Unsteady, incompressible NavierStokes equations in a moving boundary system are solved by a spectral element methodology, employing an Arbitrary Lagrangian Eulerian (ALE) formulation on unstructured meshes. The performance of the micro-pump i...

The DNS results of the ow in a cylindrical cavity driven by a impeller rotor near the bottom at an eccentric position is validated by comparison with an experimental ow visualization. A code to solve the unsteady incompressible Navier-Stokes equations in the strong conservation form is used. The computational simulation successfully captured the formation of a cyclone that starts at an eccentri...