Abstract
Channel flow is one of the widely used ways of transportation of gas, fluids, various emulsions, and suspensions. Of the two types of channel flow—open and pipe flow—we are interested in the second type. These flows are distinguished by a great variety of pattern depending on the cross-sectional configuration and nature of the change of the latter along the length of a channel. In most cases, the channel walls are impermeable and the fluid flow is unchangeable. However, in some cases, the channel walls may be permeable (perforated or made of porous material), which leads to the inflow (or outflow) of the additional amount of fluid into the channel. As a result, the average flow rate through the channel increases (decreases). The channels may be curved (tortuous) and have branches or connections with other channels. Common to all channel flows is the presence of a pressure differential at the fluid transportation section. Thus, it is natural to attribute the flow of a real viscous fluid through the capillaries or porous medium to the channel currents.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abayev, G.N., Popov, E.K.: O techenii v apparatah s nepodvizhnym zernistym sloiem. Doklady AN SSSR. T.259. №3, s. 655–659 (1981)
Rahmatullin, H.A.: Osnovy gidrodinamiki vzaimopronikaiushih sred. Prikladnaia matematika i mehanika. T.20. Vyp.2, S. 184–195 (1956)
Nikolaievski, V.N.: Mehanika treshinovatyh i poristyh sred. M.: Nedra, 232 s. (1984)
Belocserkovski, O.M.: Chislennoye modelirovniye v mehanike sploshnyh sred. M.: Nauka, 519 s. (1984)
Goldshtik, M.A.: Procsessy perenosa v zernistom sloie. Novosibirsk: ITF SO AN SSSR, 164 s. (1984)
Bolotova, N.V., Rudkov, A.I.: Matematicheskaia model techeniya v osesimmetricheskom reaktore s nepodvizhnym sloiem katalizatora. Matematicheskiye modeli i vychislitelnye metody mehaniki sploshnoi sredy. Krasnoiarsk. S. 17–26 (1979)
Boreskov, G.K., Slinko, M.G.: Raschet kataliticheskih procsessov v promyshlennyh reaktorah. Himicheskaia promyshlennost. №3, S. 193–200 (1960)
Ivleva, T.P., Merzhanov, A.G., Shkadinski K.G.: O zakonomernostyah spinovogo rezhima rasprostraneniya fronta goreniya. Fizika goreniya i vzryva. №2, S. 3–10 (1980)
Kafarov, V.V.: Metody kibernetiki v himii i himicheskoi tehnologii. M.: Himiya, 379 s. (1968)
Mitenkov, F.M., Golovko, V.F., Ushakov, P.N., Iurev, I.S.: Projektirovaniye teploobmennyh apparatov AES. M.: Energoatomizdat, 296 s. (1988)
Aerov, M.E., Todes, O.M., Narinski, D.A.: Apparaty so stacsionarnym zernistym sloiem. L.: Himiya, 176 s. (1979)
Shirko, I.V.: Chislennoie issledovaniye techeniy v granulirovannyh sredah. Chislennoie modeliorvaniye v aerogidrodinamike. M.: Nauka, S. 236–245 (1986)
Chandrasekhara, B.C., Rudraiah, N., Nagaraj, S.T.: Velocity and dispersion of porous media. Int. J. Eng. Sci. 18(7), 921–929 (1980)
Kirillov, V.A. i dr.: O profile skorosti v nepodvizhnom zernistom sloie. DAN SSSR. T.245. N1, S. 159–162 (1979)
Vlasov, O.A., Yershin, Sh.A., Zhapbasbaiev, U.K.: Issledovaniye aerodinamiki i teplomassoobmen v reaktore s nepodvizhnym zernistym sloiem katalizatora. Tezisy dokladov Vsesoiuznoi konferencsii “Himreaktor-X”. Toliatti, Kn.1, S. 102–107 (1989)
Miasnikov, V.P., Struminski, V.V.: Sostoianiye mehaniki dispersnyh sred i ieio prilozheniye v tehnologicheskih procsessah. IV Vsesoiuznyi siezd po teorericheskoi i prikladnoi mehanike. Kiyev: Naukova dumka. S. 52 (1976)
Ergun, S.: Fluid flow through packed columns. Chem. Eng. Progr. 48, 89–94 (1952)
Matross, I.Sh., Noskov, A.S., Chumachenko, V.A.: Matematicheskoie modelirovaniye nestacsionarnyh procsessov obezvrezhivaniya v reaktorah s nepodvizhnym sloiem katalizatora. Matematicheskoie modelirovaniye kataliticheskih reaktorah. Novosibirsk: Nauka, S. 232–258 (1989)
Oh, S.H., Cavendish, J.С.: Design aspects of poison-resistant automobile monolithic catalysts. Ind. Eng. Chem., Prod. Res. Dev. 22, 509–518 (1983)
Roberson, G.F.: Description and verification of a transient model for packed-bed catalytic converters. AIChESymp. Ser. 76(199), 335–350 (1980)
Cerkanowicz, A.E., Cole, R.В., Stevens, J.G.: Catalytic combustion modeling: comparisons with experimental data. ASME publication. Paper 77-GT-85. P. 1–8 (1977)
Teplofizicheskiye svoistva veshestva. Spravochnik pod red. Vargaftika N.B. M.: Gosenergoizdat (1956)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Yershin, S.A. (2017). Channel Flows with Permeable Partitions. In: Paradoxes in Aerohydrodynamics. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-25673-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-25673-3_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25671-9
Online ISBN: 978-3-319-25673-3
eBook Packages: EngineeringEngineering (R0)