Engineering Transactions, 0, 0, pp. , 0

Unsteady Flow Patterns between Two Egg-Carton Corrugated Plates

Anyang Institute of Technology

University of Guanajuato

Autonomous University of San Luis Potosi

Qiang HE
Anyang Institute of Technology

Unsteady analyses of the flow between two egg-carton corrugated plates were performed. Geometry effects on the flow were as follows: “closed recirculations” shrank downstream the channel and became “open recirculations”. For the 180° egg-carton plates, recirculations were z-symmetric to the channel center. Reynolds number increments favored recirculation growth and flow detachment. Transient development effects were as follows: the steady state was reached faster in waves closer to the channel entrance. As time advanced, spatial flow development advanced toward the channel outlet , and y-concave geometries inhibited fluid detachment and steady state achievement. Consequences of the geometry on theransient development of the flow were as follows: the recirculations appeared at larger times, they were smaller, and became “open recirculations” closer to the channel inlet for the 0° model, and the 0° model flow reached a steady state faster. Finally, no clear evidence of unsteady features called “rolling vortices” was observed. Such unsteady features might be a consequence of small unavoidable experimental uncertainties creating a pulsating flow.

Keywords: egg-carton corrugated plates; unsteady flow pattern; 3D chaotic flow; numerical analysis; recirculation; rolling vortices; pulsating flow
Full Text: PDF


Ammar H., Ould El Moctar A., Garnier B., Peerhossaini H., Flow pulsation and geometry effects on mixing of two miscible fluids in microchannels, ASME Journal of Fluids Engineering, 136(12): 121101, 9 pages, 2014, doi: 10.1115/1.4027550

Ünal E., Ahn H., Sorguven E., Experimental investigation on flows in a corrugated channel, ASME Journal of Fluids Engineering, 138(7): 070908, 8 pages, 2016, doi: 10.1115/1.4032754

Karami M., Shirani E., Jarrahi M., Peerhossaini H., Mixing by time-dependent orbits in spatiotemporal chaotic advection, ASME Journal of Fluids Engineering, 137(1): 011201, 13 pages, 2015, doi: 10.1115/1.4027588

Takabi B., Salehi S., Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid, Advances in Mechanical Engineering, 6: 1–16, 2014, doi: 10.1155/2014/147059

Hemida H.N., Sabry M.N., Abdel-Rahim A., Mansour H., Theoretical analysis of heat transfer in laminar pulsating flow, International Journal of Heat and Mass Transfer, 45(8): 1767–1780, 2002, doi: 10.1016/S0017-9310(01)00274-5.

Khanafer K., Al-Azmi B., Al-Shammari A., Pop I., Mixed convection analysis of laminar pulsating flow and heat transfer over a backward-facing step, International Journal of Heat and Mass Transfer, 51(25–26): 5785–5793, 2008, doi: 10.1016/j.ijheatmasstransfer.2008.04.060.

Jafari M., Farhadi M., Sedighi K., Heat transfer enhancement in a corrugated channel using oscillating flow and nanoparticles: an Lbm approach, Numerical Heat Transfer, Part A: Applications, 65(6): 601–626, 2014, doi: 10.1080/10407782.2013.836023.

Oviedo-Tolentino F., Romero-Méndez R., Hernández-Guerrero A., Girón-Palomares B., Use of diverging or converging arrangement of plates for the control of chaotic mixing in symmetric sinusoidal plate channels, Experimental Thermal and Fluid Science, 33(2): 208–214, 2009, doi: 10.1016/j.expthermflusci.2008.08.002.

Oviedo-Tolentino F., Romero-Méndez R., Hernández-Guerrero A., Girón-Palomares B., Experimental study of fluid flow in the entrance of a sinusoidal channel, International Journal of Heat and Fluid Flow, 29(5): 1233–1239, 2008, doi: 10.1016/j.ijheatfluidflow.2008.03.017.

Ramgadia A.G., Saha A.K., Characteristics of fully developed flow and heat transfer in channels with varying wall geometry, Journal of Heat Transfer, 136(2): 021703, 15 pages, 2014, doi: 10.1115/1.4024552.

Mahmud S., Sadrul Islam A., Feroz C., Flow and heat transfer characteristics inside a wavy tube, Heat and Mass Transfer, 39(5): 387–393, 2003, doi: 10.1007/s00231-002-0369-9.

Abroshan H., Numerical simulation of turbulent flow and heat transfer though sinusoidal ducts, Heat and Mass Transfer, 54(7): 2045–2059, 2018, doi: 10.1007/s00231-018-2277-7.

Girón-Palomares B., Hernández-Guerrero A., Romero-Méndez R., Oviedo-Tolentino F., An experimental analysis of the flow pattern in heat exchangers with an egg carton configuration (parallel, convergent and divergent cases), International Journal of Heat and Fluid Flow, 30(1): 158–171, 2009, doi: 10.1016/j.ijheatfluidflow.2008.09.005.

Sawyers D. R., Sen M., Chang H.-C., Heat transfer enhancement in three-dimensional corrugated channel flow, International Journal of Heat and Mass Transfer, 41(22): 3559–3573, 1998, doi: 10.1016/S0017-9310(98)00029-5.

Rush T.A., Newell T.A., Jacobi A.M., An experimental study of flow and heat transfer in sinusoidal wavy passages, International Journal of Heat and Mass Transfer, 42(9): 1541–1553, 1999, doi: 10.1016/S0017-9310(98)00264-6.

Giron-Palomares B., Hernandez-Guerrero A., Romero-Mendez R., He Q., A study of the flow patterns between two corrugated plates with an egg-carton configuration, ASME Journal of Fluids Engineering, 141(2): 021104, 13 pages, 2019, doi: 10.1115/1.4040594.

Issa R.I., Ahmadi-Befrui B., Beshay K.R., Gosman A.D., Solution of the implicitly discretised reacting flow equations by operator-splitting, Journal of Computational Physics, 93(2): 388–410, 1991, doi: 10.1016/0021-9991(91)90191-M

Ferziger J.H., Peric M., Computational Methods for Fluid Dynamics, Springer Berlin Heidelberg, New York, 2002.

Andersson B., Andersson R., Håkansson L., Mortensen M., Sudiyo R., Van Wachem B., Computational Fluid Dynamics for Engineers, Cambridge University Press, Cambridge, 2011.

Chen Z.J., Przekwas A.J., A coupled pressure-based computational method for incompressible/compressible flows, Journal of Computational Physics, 229(24): 9150–9165, 2010, doi: 10.1016/

Kaya F., Karagoz I., Performance analysis of numerical schemes in highly swirling turbulent flows in cyclones, Current Science, 94(10): 1273–1278, 2008.

Kundu P.K., Cohen I.M., Fluid Mechanics, Academic Press, Burlington, MA, 2008.

DOI: 10.24423/EngTrans.1100.20210510

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland