We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect of the trapped clusters on the pressure evolution and on the effective permeability of the system. We find that the capillary forces play an important role d...

The PIS A-method, Proximal Isovelocity Surface Area, is a method for quantifying regurgitant flow through the mitral valve. The volumetric flow is calculated as the velocity at the center line times the iso-vehcity area. Unfortunately, this method is correct only for a non-viscous fluid flowing towards an orifice with zero radius. In order to study effects from a viscous fluid as well as influe...

We present a simple theoretical framework to describe the thermal noise of a microscopic mechanical beam in a viscous fluid: we use the Sader approach to describe the effect of the surrounding fluid (added mass and viscous drag), and the fluctuation dissipation theorem for each flexural modes of the system to derive a general expression for the power spectrum density of fluctuations. This predi...

In this paper we have studied the unsteady flow of an electrically conducting viscous, incompressible dusty fluid flowing between two oscillating plates. The fluid is acted upon by a constant magnetic field perpendicular to the plates. Exact velocities of fluid and dust particles are derived by using differential geometry techniques and Laplace transforms. AMS Mathematics Subject Classification...

In this paper, the flow, thermal and concentration analyses of blood as a third grade with gold as nanoparticles through a porous channel are carried out using regular perturbation method. The analysis are carried out using Vogel’s model of temperature-dependent viscosity. The developed models were used to investigate the effects of the nano particles on the concentration, temperature and veloc...

This article presents the heat and mass transfer characteristics of unsteady MHD flow of a viscous, incompressible and electrically conducting micropolar fluid in the presence of viscous dissipation and radiation over a porous stretching sheet with chemical reaction. The governing partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) by applying suitable si...

The present numerical attempt deals the sway to transfer of heat and mass characteristics on the time-dependent hydromagnetic boundary layer flow of a viscous fluid over an exponentially inclined preamble stretching. Furthermore, the role of viscous heating, thermal radiation, uneven energy gain or loss, velocity slip, thermal slip and solutal slips are depicted. The prevailing time-dependent P...

Spatially homogeneous Bianchi type-II, VIII and IX anisotropic, as well as isotropic cosmological models can be obtained in a scalar tensor theory of gravitation proposed by Saez and Ballester (1986) when the source for energy momentum tensor is a bulk viscous fluid containing one-dimensional cosmic strings. All the models obtained and presented here are expanding, non-rotating and accelerating...

Heat EXchangers (HEX) that are used in City Gate Station (CGS) systems are modeled numerically to recover the exhaust waste heat. It was tried to find the best viscous model to obtain results in accordance with experimental results and to change the heat exchanger design. This HEX is used for recovering heat from exhaust flue gas with a mixture of 40% water and 60% ethylene glycol as the coolin...

We study the coupled dynamics of two closely spaced micron or nanoscale elastic objects immersed in a viscous fluid. The dynamics of the elastic objects are coupled through the motion of the surrounding viscous fluid. We consider two cases: (i) one object is driven externally by an imposed harmonic actuation force and the second object is passive and (ii) both objects are driven by a Brownian f...