Abstract:
Results of a numerical study of a laminar separated flow behind a rectangular step on a porous surface with uniform injection or suction are described. Two cases are considered: an unconfined flow past a step and flow evolution in a confined channel (duct). It is shown that mass transfer on the surface causes strong changes in the flow structure and substantially affects the position of the reattachment point, as well as friction and heat transfer. More intense injection leads first to an increase in the separation-zone length and then to its rapid vanishing due to boundary-layer displacement. Vice versa, suction at high Reynolds numbers $\mathrm{Re}_s>$ 100 reduces the separation-zone length. The duct flow has a complicated distribution of friction and heat-transfer coefficients along the porous surface owing to the coupled effect of the transverse flow of the substance and changes in the main flow velocity due to mass transfer.
Keywords:
flow separation and reattachment, laminar flow, porous injection and suction, backward-facing step, friction, heat transfer.
Citation:
V. I. Terekhov, S. R. Batenko, “Friction and heat transfer in a laminar separated flow behind a rectangular step with porous injection or suction”, Prikl. Mekh. Tekh. Fiz., 47:1 (2006), 18–28; J. Appl. Mech. Tech. Phys., 47:1 (2006), 12–21
\Bibitem{TerBat06}
\by V.~I.~Terekhov, S.~R.~Batenko
\paper Friction and heat transfer in a laminar separated flow behind a rectangular step with porous injection or suction
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 1
\pages 18--28
\mathnet{http://mi.mathnet.ru/pmtf2106}
\elib{https://elibrary.ru/item.asp?id=16546829}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 1
\pages 12--21
\crossref{https://doi.org/10.1007/s10808-006-0002-7}
Linking options:
https://www.mathnet.ru/eng/pmtf2106
https://www.mathnet.ru/eng/pmtf/v47/i1/p18
This publication is cited in the following 9 articles:
Viktor I. Terekhov, Aleksey Yu. Dyachenko, Yaroslav J. Smulsky, Tatyana V. Bogatko, Nadezhda I. Yarygina, Heat and Mass Transfer, Heat Transfer in Subsonic Separated Flows, 2022, 15
Viktor I. Terekhov, Aleksey Yu. Dyachenko, Yaroslav J. Smulsky, Tatyana V. Bogatko, Nadezhda I. Yarygina, Heat and Mass Transfer, Heat Transfer in Subsonic Separated Flows, 2022, 203
Fatih Selimefendigil, Hakan F. Öztop, “Laminar Convective Nanofluid Flow Over a Backward-Facing Step With an Elastic Bottom Wall”, Journal of Thermal Science and Engineering Applications, 10:4 (2018)
G.L. Juste, P. Fajardo, “Influence of flow tree-dimensionality on the heat transfer of a narrow channel backward facing step flows”, International Journal of Thermal Sciences, 132 (2018), 234
A. A. Fomin, L. N. Fomina, “Numerical Solution of the Problem of Incompressible Fluid Flow in a Plane Channel with a Backward-Facing Step at High Reynolds Numbers”, J Appl Mech Tech Phy, 59:7 (2018), 1211
A.A. Fomin, L.N. Fomina, “Numerical solutions of 2D steady incompressible backward-facing step flow at high Reynolds numbers”, Comp. Contin. Mech., 10:3 (2017), 260
Wagner C. Galuppo, Marcelo J. S. de Lemos, “Turbulent heat transfer past a sudden expansion with a porous insert using a nonlinear model”, Numerical Heat Transfer, Part A: Applications, 71:3 (2017), 290
A. A. Fomin, L. N. Fomina, “O reshenii zadachi techeniya zhidkosti i teploobmena v ploskom kanale s obratnym ustupom”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 221:2 (2017), 362–375
E. Abu-Nada, A. Al-Sarkhi, B. Akash, I. Al-Hinti, “Heat
Transfer and Fluid Flow Characteristics of Separated Flows Encountered in a Backward-Facing Step
Under the Effect of Suction and Blowing”, Journal of Heat Transfer, 129:11 (2007), 1517