Slip flow, model

Mitsuya, Y, Modified Reynoids Equation for Uitra-Thin Fiim Gas Lubrication Using 1.5-Order Slip-Flow Model and Considering Surface Accommodation Coefficient," ASME J. Tri-bol, Voi. 115,1993, pp. 289-294. 

Later, Weisman et al. (1978) also found that assuming homogeneous flow everywhere provided nearly as good a correlation of the data as the slip flow model. The total pressure drop across a contraction can be approximated by... 

The HEM method will tend, if anything, to underestimate the relief flow capacity and so to oversize relief systems. This is provided the upstream conditions have been correctly specified (see 9.3.3). Another possible exception to the HEM tending to underestimate flow is when there is a large upwards static head change (equivalent to greater than about 10% of the pressure in the reactor), in which case a slip flow model could be more conservative. 

Care should be taken when using the HEM to size downstream disposal equipment. It may result in the flow rate being underestimated and the disposal system being undersized. It may be better to use a slip flow model in such cases. An alternative approach would be the application of an appropriate safety factor to a flow rate calculated using the HEM (see 7.2 (b)). 

Various nonequilibrium and slip flow models have been proposed as improvements on the homogeneous equilibrium flow model. See, for example, Henry and Fauske (Trans. ASME J. Heat Transfer, 179-187 [May 1971]). Nonequilibrium and slip effects both increase... 

Compressible two-dimensional fluid flow and heat transfer eharaeteristies of a gas flowing between two parallel plates with both uniform temperature and uniform heat flux boundary eonditions were solved in [21]. They eompared their results with the experimental results of [12]. The slip flow model agreed well with these experiments. They observed an inerease in the entranee... 

Morini, G. L., Lorenzini, M., and Spiga, M., (2004) A Criterion for the Experimental Validation of the Slip-Flow Models for Incompressible Rarefied Gases through Microchannels, Proceedings of the International Conference on Microchannels and Minichannels, June 17-19, 2004 Rochester, New York, USA, pp. 351-368. 

Colin S, Lalonde P, Caen R (2004) Validation of a second-order slip flow model in rectangular microchannels. Heat Transfer Eng 25(3) 23-30... 

Hadjicrnistantinou and Simek [35] investigated the case for fuUy developed flow with uniform wall temperature. They found that Eqs. 7 and 17 with both F = 1 and = 1 were adequate in determining the physics in this slip-flow problem. They compared their results with the direct simulation Monte Carlo method. They concluded that slip-flow models neglecting viscous dissipation, expansion cooling, and thermal creep were adequate in describing the heat transfer. However, when considering viscous dissipation, the Nu expression becomes [34]... 

Nanofibre enhances the capture of nanoparticles such as viruses, bacteria, and man-made particles, such as soot from diesel exhaust. As soon as a fluid (air or liquid) contacts a nonwoven web, molecules are subjected to various forces, such as Brownian di siou, direct interception, partial impact, electrostatic forces, and sedimentation. For nanometre-scale fibres, a second factor has to be taken into account the effect of slip flow at the fibre surface. For macroscale fibrous materials, filtration mechauisms rely on continuous flow around the fibre, with a no-slip condition at the fibre surface. The theory starts to break down when the scale of the fibre becomes small enough that the molecular movements of the air molecules are significant in relation to the size of the fibres and the flow field. Using a slip-flow model at the fibre surface can extend the usefiil range of continuous flow theory. The Knudseu number (Kn) is used to describe the importance of the molecular movements of air... 

With symmetrical cooling assumption only half the slip flow model from Lim and lanakiev (14,15) is applied to the cooling process. The details of the 2-D slip flow model and the ejficient algorithm for the non-isothermal phase changes can refer to the publications (14,15). In this analysis, the coincident node technique (16) for warpage and slip flow modelling is used to obtain the thermal break of a continuum between the mould and polymer interface. The technique is an alternative to the thin element method. 

K.K. Lim and A. lanakiev. Modelling of Rotational Moulding Process Multi-Layer Slip Flow Model, Phase-Change and Warpage, Polym. Eng. ScL, 2006, 46, 7 pp. 960-969. 

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