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In this work, simulations were carried out for liquid flow in obstructed straight square micro channel. The simulation was done in consideration of pressure-driven flow technique under steady state types of simulation. An unsteady form of the Navier-stokes equations affiliate with no slip and free slip boundary conditions have been used to simulate flow of water through a micro channel. The invest...Show More
For the behaviors of micro-fluidics in cavity micro-flow, a CFD numerical simulation is adopted to investigate the slip effects on cavity micro-flow. In addition, a new slip model based on the concept of boundary layer thickness was derived theoretically and tested. It's found that boundary wall with the Navier slip condition will change the pattern of cavity micro-flow. In the case of pressure dr...Show More

Micro/nano thermal boundary layer equations with slip–creep–jump boundary conditions

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IMA Journal of Applied Mathematics
Year: 2007 | Volume: 72, Issue: 6 | Journal Article |
At the micro- and nanoscale, the standard continuity boundary conditions at fluid–solid interfaces of classical transport phenomena do not apply and must be replaced by boundary conditions that allow discontinuities. In this study, the classical thermal laminar boundary layer equations are studied using Lie symmetries with the no-slip boundary condition for tangential velocity and continuous tempe...Show More

Micro/nano thermal boundary layer equations with slip–creep–jump boundary conditions

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Year: 2007 | Volume: 72, Issue: 6 | Journal Article |
The Helmholtz resonator is one of the most important acoustic devices in the field of acoustic applications. It is believed that the boundary conditions in the resonator cavity are a vital factor to the sound absorption performance of the Helmholtz resonator. It should be noted that almost all the previous works on the topic assumed the no-slip boundary conditions in cavity. Recently, researchers ...Show More

Singularity method for Stokes flow with slip boundary condition

IMA Journal of Applied Mathematics
Year: 2008 | Volume: 73, Issue: 5 | Journal Article |
The paper discusses the Green's function method of the Stokes flow equation in the presence of a slip wall. The far field of the Green's function is obtained and interpreted in terms of singularities. It is found that the flux for the stokeslet near a slip wall is finite and has a form similar to the one corresponding to the no-slip condition. The reciprocity formula of this Green's function is pr...Show More

Singularity method for Stokes flow with slip boundary condition

Year: 2008 | Volume: 73, Issue: 5 | Journal Article |

A homogenization analysis of the compressible flow between a slider and a moving patterned rough surface

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IMA Journal of Applied Mathematics
Year: 2015 | Volume: 80, Issue: 1 | Journal Article |
The compressible flow between a slider and a moving rough surface is examined asymptotically and numerically in the limit of very small gap height. The roughness is assumed to consist of a well-defined periodic pattern of grooves whose amplitude and wavelength are of the order of the gap height. A two-scale homogenization analysis is employed to determine a non-linear elliptic partial differential...Show More

A homogenization analysis of the compressible flow between a slider and a moving patterned rough surface

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Year: 2015 | Volume: 80, Issue: 1 | Journal Article |
Heat transfer across an interface of dissimilar materials results in a temperature jump. The extent of this jump for a given temperature gradient is determined by the Kapitza resistance (or the interfacial thermal resistance). This thermal boundary condition is analogous to the velocity slip boundary condition and so are the Kapitza and slip lengths. It has been shown that in the case of the veloc...Show More
An investigation is conducted on a twodimensional hydrodynamic model of pressure-driven, viscous, incompressible steady creeping flow through a rectangular microchannel that features wall roughness and is influenced by an external inclined magnetic field. The Stokes equations, incorporating the Lorentz force term, are numerically solved using the boundary element method. The wall roughness is math...Show More

Dynamics of a parallel, high-speed, lubricated thrust bearing with Navier slip boundary conditions

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IMA Journal of Applied Mathematics
Year: 2015 | Volume: 80, Issue: 5 | Journal Article |
An incompressible fluid flow model for a thin-film thrust bearing with slip flow is derived, leading to a modified Reynolds equation for a highly rotating rotor that incorporates a slip length shear condition on the bearing faces, extending previous bearing studies for new bearing applications associated with decreasing film thickness. Mathematical and numerical modelling is applied to the coupled...Show More

Dynamics of a parallel, high-speed, lubricated thrust bearing with Navier slip boundary conditions

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Year: 2015 | Volume: 80, Issue: 5 | Journal Article |
In modeling fibrous filter media, it is important to consider the phenomena of slip on the fiber surface because of the Knudsen number limit. In this paper the available analytical expressions for slip boundary were summarized and applied on a novel fibrous filter media model. Experimental data of the pressure drop on the filter media was used to validate the numerical simulation using OpenFOAM wh...Show More
Micro-electromechanical systems (MEMS) are very small devices that usually contain gas under low pressure. The motion of the fluid inside such structures is affected by rarefaction effects, which are not visible in macroscale flows. To accurately predict the behavior of the fluid in such microstructures, the Lattice Boltzmann Method needs to be modified to account for these new effects. This can b...Show More
Two different boundary condition treatments-mirror boundary conditions and static boundary conditions are implemented to simulate lid-driven cavity flow with incompressible SPH (ISPH) algorithms. The algorithms include density-invariant ISPH (ISPH-DI) and divergence-free ISPH (ISPH-DF). The results show that simulations are more accurate with the static particles boundary and the ISPH-DF algorithm...Show More
In the prediction of underfill flow in a flip-chip package, numerical methods are usually used for flow analysis and simulation since analytical methods cannot meet the requirement for predicting fluid distribution in a planar analysis. At present, there appears to be no simulation software commercially available that is able to provide adequate prediction for the underfill flow process driven by ...Show More
The mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order slip velocity model and a constant surface heat flux is investigated. By choosing appropriate similarity variables, the partial differential equations and boundary conditions governing the flow are transformed into a similarity system. This is solved numerically for differ...Show More
The assumption usually made of spatially fully developed flow during transient establishment is revised here. A computational model for transient two-dimensional Navier-Stokes equations has been used to study both time and space development of flow due to a sudden pressure rise. Two kinds of boundary conditions are used, the no-slip condition as well as the slip condition encountered in micro-chan...Show More
The Earth's non-hydrostatic gravity field, or geoid, provides a first-order constraint on mantle density structure and dynamics. Geodynamic models for the geoid have proliferated since the advent of seismic mapping of mantle heterogeneity structure (tomography) because the geoid offers perhaps the best-measured independent constraint on mantle density heterogeneity. However, dynamic geoid models i...Show More
A hybrid numerical method of particle-continuum dynamics designed for micro-fluidics is being developed which solves the Navier-Stokes equations in one domain, where the continuum description is still valid, and uses the molecular dynamics in another domain where the continuum description fails. The matching of these two descriptions can be achieved by a constrained particle dynamics in the overla...Show More
The hemodynamic characteristics of blood flow for DeBakey III aortic dissection were investigated. The velocity fields of the blood flow, the pressure and shear stress on the blood vessel wall were computed by using the boundary element method. The results showed that the blood flow in the false lumen was low-speed vortex, and its magnitude changed slightly during a cardiac cycle. The pressures on...Show More
Because of its high frequency and high speed, stator iron loss density of high-speed permanent magnet generator (HSPMG) is much larger than traditional motor. In order to prevent the motor from the irreversible demagnetization of permanent magnet caused by overheating or from the aging of insulation materials of motor, it is important to calculate stator iron loss of HSPMG accurately. A stator iro...Show More
In microfluidics, varying wetting properties, expressed in terms of the local slip length, can be used to influence the flow of a liquid through a device. We study flow past surfaces on which the slip length is modulated in stripes. We find that the effective slip length for such a flow can be expressed as a function of the individual slip lengths on the stripes. The angle dependence of the effect...Show More
In this paper, has analyzed the pug’s temperature field in the extrusion process of de-airing pug mill with ANSYS, based on the thermal parameters of different friction coefficients, different outside temperatures, the mud’s different heated temperatures to carry out numerical simulation of the movement soil material, reveals how the ceramic soil material impact on the flow characteristics in the ...Show More
A novel hybrid method combining the continuum approach based boundary singularity method (BSM) and the molecular approach based direct simulation Monte Carlo (DSMC) is developed and then used to study viscous fibrous filtration flows in the transition flow regime, . This approach may be useful for modeling of detection and signaling in micro-fluidic sensors. The DSMC is applied to an annular regio...Show More
Recent experiments have measured large, shear-dependent liquid slip at partially wetting fluid-solid surfaces (Zhu and Granic, 2001). The origin of these dramatic violations of the no-slip boundary condition is still controversial and the consequences of these effects for microfluidic or nanofluidic devices have yet to be fully explored. One possible application is in fluid mixing. Mixing in flows...Show More
The concern in this paper is the problem of finding—or, at least, approximating—functions, defined within and on the boundary of a tangential polygon, functions whose Laplacian is $-1$ and which satisfy a homogeneous Robin boundary condition on the boundary. The parameter in the Robin condition is denoted by $\beta $. The integral of the solution over the interior, denoted by $Q$, is, in the conte...Show More
An investigation of the transport phenomena of the compressed and uncompressed carbon cloth gas diffusion layer (GDL) based on the integration of X-ray micro-tomography and Lattice Boltzmann (LB) simulation is presented. Compressive stress decreases the thickness of GDL, electrical conductivity, permeability, and affects the pores. In the present paper, we have addressed the effects of stress on p...Show More