LBM simulation on friction and mass flow analysis in a rough microchannel
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
The aim of the present paper is to analyze the friction and mass flow in a rough microchannel using Lattice Boltzmann Method(LBM). The LBM is a kinetic method based on the particle distribution function, so it can be fruitfully used to study the flow dependence onKnudsen number including slip velocity, pressure drop in rough microchannel. The surface roughness elements are taken to be considered asa series of circular shaped riblets throughout the channel with relative roughness height up to a maximum 10% of the channel height. Thefriction coefficients in terms of Poiseuille number (Pn), mass flow rate and the flow behaviors have been discussed in order to study theeffect of surface roughness in the slip flow regime at Knudsen number (Kn), ranging from 0.01 to 0.10. It is seen that the friction factor andthe flow behaviors in a rough microchannel strongly depend on the rarefaction effect and the relative roughness height. The friction factor ina rough microchannel is higher than that in smooth channel but the mass flow rate is lower than that of smooth channel. Moreover, it is seenthat the friction factor increased with relative roughness height but decreased with increasing the Kundsen number (Kn) whereas the massflow rate is decreased with increasing both of surface roughness height and Knudsen number.
Abstract
The aim of the present paper is to analyze the friction and mass flow in a rough microchannel using Lattice Boltzmann Method(LBM). The LBM is a kinetic method based on the particle distribution function, so it can be fruitfully used to study the flow dependence onKnudsen number including slip velocity, pressure drop in rough microchannel. The surface roughness elements are taken to be considered asa series of circular shaped riblets throughout the channel with relative roughness height up to a maximum 10% of the channel height. Thefriction coefficients in terms of Poiseuille number (Pn), mass flow rate and the flow behaviors have been discussed in order to study theeffect of surface roughness in the slip flow regime at Knudsen number (Kn), ranging from 0.01 to 0.10. It is seen that the friction factor andthe flow behaviors in a rough microchannel strongly depend on the rarefaction effect and the relative roughness height. The friction factor ina rough microchannel is higher than that in smooth channel but the mass flow rate is lower than that of smooth channel. Moreover, it is seenthat the friction factor increased with relative roughness height but decreased with increasing the Kundsen number (Kn) whereas the massflow rate is decreased with increasing both of surface roughness height and Knudsen number.
참고문헌 (15)
- B. Y. Cao, "Effect of surface roughness on gas flow in microchannels by molecular dynamics", International Journal of Engineering Science, 44, pp.927~937 (2006)
- L. F. Moody, "Friction factor for pipe flow", Transaction of the ASME, 66, pp.671~684 (1944)
- O. Rovenskaya, "Numerical investigation of microflow over rough surfaces : Coupling approach", Journal of Heat Transfer, 135, pp.101005-1~101005-8 (2013)
- M. H. Khadem, "Effects of rarefaction and compressibility on fluid flow at slip flow regime by direct simulation of roughness", International Journal of Aerospace and Mechanical Engineering, 3(4), pp.204~210 (2009)
- G. R. McNamara, "Use of the Boltzmann equation to simulate lattice-gas automata", Physical Review Letters, 61(20), pp.2332~2335 (1988)
- X. Wei, "The lattice Boltzmann method for simulating gaseous Phenomena", IEEE Transactions on Visualization and computers Graphics, 10(2), pp.164~176 (2004)
- H. Chen, "Recovery of the navier-stokes equations using a lattice-gas Boltzmann method", Physical Review A, 45(8), pp.5339~5342 (1992)
- S. Chen, "Simulation of microchannel flow using the lattice Boltzmann method", Physica A, 388, pp.4803~4810 (2009)
- X. D. Niu, "A thermal lattice Boltzmann model with diffuse scattereing boundary condition for micro thermal flows", Computers and Fluid, 36, pp.273~281 (2007)
- X. Nie, "Lattice-Boltzmann simulation & fluid flows in MEMS", Journal of Statistical physied, 107(1, pp.2) (2002), 279~289
- S. H. Kim, "Slip velocity and Knudsen layer in the lattice Boltzmann method for microscale flows", Physical review E, 77, pp.026704-1~026704-12 (2008)
- C. Liu, "A multiplicative decomposition of Poiseuille number on rarefaction and roughness by lattice Boltzmann simulation", Computers and Mathematics with Applications, 61, pp.3528~3536 (2011)
- Z. Chai, "Lattice Boltzmann simulation of surface roughness effect on gaseous flow in a microchannel", Journal of Applied Physics, 104, pp.014902-1~014902-8 (2008)
- L. Chao-Feng, "The effect of surface roughness on rarefied gas flow by lattice Boltzmann method", Chinese Physics B, 17(12), pp.4554~4561 (2008)
- M. A. Taher, "Friction and flow analysis of square and circular riblets rough microchannels using LBM", Proceedings of the 5 th Asian Workshop on Thermphysics and Fluid Science, (KA-27) (2014)