{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T14:49:34Z","timestamp":1767451774635},"reference-count":53,"publisher":"National Library of Serbia","issue":"6 Part B","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Therm sci","THERM SCI","THERMAL SCI"],"published-print":{"date-parts":[[2023]]},"abstract":"<jats:p>In the present work, heat transfer characteristics of a turbulent confined slot jet impinging on a heated moving plate are studied by means of time-averaged Navier-Stokes simulations. Three different plate conditions are considered: zero plate velocity (stationary plate), plate moving with a constant velocity, and plate moving with a constant acceleration. The jet nozzle-to-plate ratio and the jet inlet Reynolds number are equal to 4 and 2 ? 104, respectively. The objective of the present research is to investigate the role of the plate velocity condition on the development of the second peak in the Nusselt number profile along the impingement plate. The k-kl-? transition RANS model was validated against direct numerical simulation and experimental data and was able to correctly predict both the size and location of the Nusselt number secondary peak. A third re-circulation zone appears as the plate velocity increases and the Nusselt number secondary peaks location shifts slightly downstream. The development of the third re-circulation zone induces an accentuated decrease in the local and average Nusselt numbers. Furthermore, the plate acceleration delays the movement of the transition in the wall jets and the appearance of the third re-circulation zone. Consequently, the average Nusselt number increases with time, and the heat transfer from the plate is enhanced up to 8%.<\/jats:p>","DOI":"10.2298\/tsci230206127b","type":"journal-article","created":{"date-parts":[[2023,6,7]],"date-time":"2023-06-07T11:15:52Z","timestamp":1686136552000},"page":"4947-4960","source":"Crossref","is-referenced-by-count":2,"title":["RANS simulations of plane impinging jets: On the influence of plate velocity in the Nusselt number secondary peak"],"prefix":"10.2298","volume":"27","author":[{"suffix":"A.C.","given":"Bruno","family":"Barata","sequence":"first","affiliation":[{"name":"IDMEC, Instituto Superior Tecnico, Universidade de Lisboa, Lisboa, Portugal"}]},{"suffix":"E.P.","given":"Jorge","family":"Navalho","sequence":"additional","affiliation":[{"name":"IDMEC, Instituto Superior Tecnico, Universidade de Lisboa, Lisboa, Portugal"}]},{"suffix":"C.F.","given":"Jose","family":"Pereira","sequence":"additional","affiliation":[{"name":"IDMEC, Instituto Superior Tecnico, Universidade de Lisboa, Lisboa, Portugal"}]}],"member":"1078","reference":[{"key":"ref1","doi-asserted-by":"crossref","unstructured":"Karabulut, K., Alnak, E. A., Study of cooling of the Varied Designed Warmed Surfaces with an Air Jet Impingement, Pamukkale Univ. Muh. Bilim. Derg., 26 (2020), 1, pp. 88-98","DOI":"10.5505\/pajes.2019.58812"},{"key":"ref2","doi-asserted-by":"crossref","unstructured":"Karabulut, K., Heat Transfer Improvement Study of Electronic Component Surfaces Using Air Jet Impingement, Journal of Computational Electronics, 18 (2019), 12","DOI":"10.1007\/s10825-019-01387-3"},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"Alnak, D., Karabulut, K., Computational Analysis of Heat and Mass Transfer of Impinging Jet on Different Foods during the Drying Process at Low Reynolds Numbers, Journal of Engineering Thermo- physics, 28 (2019), 04, pp. 255-268","DOI":"10.1134\/S1810232819020073"},{"key":"ref4","doi-asserted-by":"crossref","unstructured":"Alnak, D., Karabulut, K., Analysis of Heat and Mass Transfer of the Different Moist Object Geometries with Air Slot Jet Impinging for Forced Convection Drying, Thermal Science, 22 (2018), 6B, pp. 2943-2953","DOI":"10.2298\/TSCI160721151A"},{"key":"ref5","doi-asserted-by":"crossref","unstructured":"Han, B., Goldstein, R., Jet-Impingement Heat Transfer in Gas Turbine Systems, Annals of the New York Academy of Sciences, 934 (2001), 06, pp. 147-161","DOI":"10.1111\/j.1749-6632.2001.tb05849.x"},{"key":"ref6","unstructured":"Holger, M., Heat and Mass Transfer between Impinging Gas Jets And Solid Surfaces, Advances in Heat Transfer, 13 (1977), 12"},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"Jambunathan, K., et al., A Review of Heat Transfer Data for Single Circular Jet Impingement, International Journal of Heat and Fluid-Flow, 13 (1992), 06, pp. 106-115","DOI":"10.1016\/0142-727X(92)90017-4"},{"key":"ref8","doi-asserted-by":"crossref","unstructured":"Viskanta, R., Heat Transfer to Isothermal Gas and Flame Jets, Experimental Thermal and Fluid Science, 6 (1993), 02, pp. 111-134","DOI":"10.1016\/0894-1777(93)90022-B"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"Zuckerman, N., et al., Jet impingement Heat Transfer: Physics, Correlations, and Numerical Modelling, Advances in Heat Transfer, 39 (20065), 12, 2006","DOI":"10.1016\/S0065-2717(06)39006-5"},{"key":"ref10","doi-asserted-by":"crossref","unstructured":"Carlomagno, G., Ianiro, A., Thermo-Fluid-Dynamics of Submerged Jets Impinging at Short Nozzle-To-Plate Distance, A Review, Experimental Thermal and Fluid Science, 58 (2014), 10","DOI":"10.1016\/j.expthermflusci.2014.06.010"},{"key":"ref11","doi-asserted-by":"crossref","unstructured":"Barata, B., et al., Prediction of Self-Sustained Oscillations of an Isothermal Impinging Slot Jet, Fluids, 8 (2022), 15","DOI":"10.3390\/fluids8010015"},{"key":"ref12","doi-asserted-by":"crossref","unstructured":"Kubacki, S., Dick, E., Simulation of Plane Impinging Jets with k-\u03c9 Based Hybrid RANS\/LES Models, International Journal of Heat and Fluid-Flow, 31 (2010),10, pp. 862-878","DOI":"10.1016\/j.ijheatfluidflow.2010.04.011"},{"key":"ref13","doi-asserted-by":"crossref","unstructured":"Gardon, R., Akfirat, J., Heat Transfer Characteristics of Impinging 2-D Air Jets, Journal of Heat Transfer, 88 (1966), 02, 101","DOI":"10.1115\/1.3691449"},{"key":"ref14","doi-asserted-by":"crossref","unstructured":"Baughn, J. W., Shimizu, S., Heat Transfer Measurements from a Surface with Uniform Heat Flux and an Impinging Jet, Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C), (United States), 111 (1989), 4, 11","DOI":"10.1115\/1.3250776"},{"key":"ref15","doi-asserted-by":"crossref","unstructured":"Ashforth-Frost, S., et al., Velocity and Turbulence Characteristics of a Semiconfined Orthogonally Impinging Slot Jet, Experimental Thermal and Fluid Science, 14 (1997), 01, pp. 60-67","DOI":"10.1016\/S0894-1777(96)00112-4"},{"key":"ref16","doi-asserted-by":"crossref","unstructured":"Jaramillo, J., et al., The DNS and RAN Smodelling of a Turbulent Plane Impinging Jet, International Journal of Heat and Mass Transfer, 55 (2012), 01","DOI":"10.1016\/j.ijheatmasstransfer.2011.10.031"},{"key":"ref17","doi-asserted-by":"crossref","unstructured":"Hattori, H., Nagano, Y., Direct Numerical Simulation of Turbulent Heat Transfer in Plane Impinging Jet, International Journal of Heat and Fluid-Flow, 25 (2004), 10, pp. 749-758","DOI":"10.1016\/j.ijheatfluidflow.2004.05.004"},{"key":"ref18","doi-asserted-by":"crossref","unstructured":"Shukla, A., Dewan, A., Open FOAM Based LES of Slot Jet Impingement Heat Transfer at Low Nozzle to Plate Spacing Using Four SGS Models, Heat and Mass Transfer, 55 (2019), Sept., pp. 911-931","DOI":"10.1007\/s00231-018-2470-8"},{"key":"ref19","doi-asserted-by":"crossref","unstructured":"Shukla, A., Dewan, A., Flow and Thermal Characteristics of Jet Impingement on a Flat Plate for Small Nozzle to Plate Spacing Using LES, International Journal of Thermal Sciences, 145 (2019), 07, pp. 1-17","DOI":"10.1016\/j.ijthermalsci.2019.106005"},{"key":"ref20","doi-asserted-by":"crossref","unstructured":"Uddin, N., et al., The LES Simulations of An Impinging Jet: On the Origin of the Second Peak in the Nusselt Number Distribution, International Journal of Heat and Mass Transfer, 57 (2013), 01, pp. 356-368","DOI":"10.1016\/j.ijheatmasstransfer.2012.10.052"},{"key":"ref21","doi-asserted-by":"crossref","unstructured":"Grenson, P., et al., Investigation of an Impinging Heated Jet for a Small Nozzle-to-Plate Distance and High Reynolds Number: An Extensive Experimental Approach, International Journal of Heat and Mass Transfer, 10 (2016), 2, pp. 801-815","DOI":"10.1016\/j.ijheatmasstransfer.2016.06.076"},{"key":"ref22","doi-asserted-by":"crossref","unstructured":"Grenson, P., Hugues, D., Large-Eddy Simulation of an Impinging Heated Jet for a Small Nozzle-to-Plate Distance and High Reynolds Number, International Journal of Heat and Fluid-Flow, 68 (2017), 11","DOI":"10.1016\/j.ijheatfluidflow.2017.09.014"},{"key":"ref23","doi-asserted-by":"crossref","unstructured":"Had\u017eiabdi\u0107, M., Hanjalic, K., Vortical Structures and Heat Transfer in a Round Impinging Jet, Journal of Fluid Mechanics, 596 (2008), 01, pp. 221-260","DOI":"10.1017\/S002211200700955X"},{"key":"ref24","doi-asserted-by":"crossref","unstructured":"Behnia, M., et al., Prediction of Heat Transfer in an Axisymmetric Turbulent Jet Impinging on a Flat Plate, International Journal of Heat and Mass Transfer, 41 (1998), 06, pp. 1845-1855","DOI":"10.1016\/S0017-9310(97)00254-8"},{"key":"ref25","doi-asserted-by":"crossref","unstructured":"Gardon, R., Akfirat, J. C., The Role of Turbulence in Determining Heat Transfer Characteristics of Impinging Jets, International Journal of Heat and Mass Transfer, 8 (1965), 10, pp. 1261-1272","DOI":"10.1016\/0017-9310(65)90054-2"},{"key":"ref26","doi-asserted-by":"crossref","unstructured":"Duponcheel, M., Bartosiewicz, Y., Direct Numerical Simulation of Turbulent Heat Transfer at Low Prandtl Numbers in Planar Impinging Jets, International Journal of Heat and Mass Transfer, 173 (2021), 07, 121179","DOI":"10.1016\/j.ijheatmasstransfer.2021.121179"},{"key":"ref27","doi-asserted-by":"crossref","unstructured":"Achari, A., Das, M., Application of Various Rans Based Models Towards Predicting Turbulent Slot Jet Impingement, International Journal of Thermal Sciences, 98 (2015), 12, pp. 332-351","DOI":"10.1016\/j.ijthermalsci.2015.07.018"},{"key":"ref28","doi-asserted-by":"crossref","unstructured":"Petera, K., Dostal, M., Heat Transfer Measurements and CFD Simulations of an Impinging Jet, EPJ Web of Conferences, 114 (2016), 03, 02091","DOI":"10.1051\/epjconf\/201611402091"},{"key":"ref29","doi-asserted-by":"crossref","unstructured":"Durbin, P., Application of a Near-Wall Turbulence Model to Boundary-Layers and Heat Transfer, Inter- national Journal of Heat and Fluid-Flow, 14 (1993), 12, pp. 316-323","DOI":"10.1016\/0142-727X(93)90004-7"},{"key":"ref30","doi-asserted-by":"crossref","unstructured":"Durbin, P., Near-Wall Turbulence Closure Modelling without Damping Function, Theoretical and Com- putational Fluid Dynamics, 3 (1991), 09, pp. 1-13","DOI":"10.1007\/BF00271513"},{"key":"ref31","doi-asserted-by":"crossref","unstructured":"Jaramillo, J., et al., Numerical Study of Plane and Round Impinging Jets using RANS Models, Numerical Heat Transfer - Part B, Fundamentals, 54 (2008), 08, pp. 213-237","DOI":"10.1080\/10407790802289938"},{"key":"ref32","doi-asserted-by":"crossref","unstructured":"Dutta, R., Dewan, A., Comparison of Various Integration Wall (ITW) RANS Models for Predicting Turbulent Slot Jet Impingement Heat Transfer, International Journal of Heat and Mass Transfer, 65 (2013), Oct., pp. 750-764","DOI":"10.1016\/j.ijheatmasstransfer.2013.06.056"},{"key":"ref33","doi-asserted-by":"crossref","unstructured":"Durbin, P., Some Recent Developments in Turbulence Closure Modelling, Annual Review of Fluid Mechanics, 50 (2018), 01","DOI":"10.1146\/annurev-fluid-122316-045020"},{"key":"ref34","doi-asserted-by":"crossref","unstructured":"Raju, K., Schlunder, E., Heat Transfer between an Impinging Jet and a Continuously Moving Flat Surface, Heat and Mass Transfer, 10 (1977), 01, pp. 131-136","DOI":"10.1007\/BF01682706"},{"key":"ref35","doi-asserted-by":"crossref","unstructured":"Senter, J., Solliec, C., Flow field Analysis of a Turbulent Slot Air Jet Impinging on a Moving Flat Surface, International Journal of Heat and Fluid-Flow, 28 (2007), 08, pp. 708-719","DOI":"10.1016\/j.ijheatfluidflow.2006.08.002"},{"key":"ref36","doi-asserted-by":"crossref","unstructured":"Sharif, M., Banerjee, A., Numerical Analysis of Heat Transfer Due to Confined Slot-Jet Impingement on a Moving Plate, Applied Thermal Engineering, 29 (2009), 02, pp. 532-540","DOI":"10.1016\/j.applthermaleng.2008.03.011"},{"key":"ref37","doi-asserted-by":"crossref","unstructured":"Benmouhoub, D., Mataoui, A., Turbulent Heat Transfer from a Slot Jet Impinging on a Flat Plate, Journal of Heat Transfer, 135 (2013), 10","DOI":"10.1115\/1.4024554"},{"key":"ref38","doi-asserted-by":"crossref","unstructured":"Benmouhoub, D., Mataoui, A., Computation of Heat Transfer of a Plane Turbulent Jet Impinging a Moving Plate, Thermal Science, 18 (2014), 4, pp. 1259-1271","DOI":"10.2298\/TSCI111027101B"},{"key":"ref39","doi-asserted-by":"crossref","unstructured":"Aghakhani, M., Heat Transfer in a Turbulent Jet Impinging on a Moving Plate Considering High Plate- To-Jet Velocity Ratios, Journal of Mechanical Science and Technology, 28 (2014), 11, pp. 4509-4516","DOI":"10.1007\/s12206-014-1018-1"},{"key":"ref40","doi-asserted-by":"crossref","unstructured":"Benmouhoub, D., Mataoui, A., Inclination of an Impinging Jet on a Moving Wall to Control the Stagnation Point Location, International Journal of Thermal Sciences, 89 (2015), 03","DOI":"10.1016\/j.ijthermalsci.2014.11.007"},{"key":"ref41","doi-asserted-by":"crossref","unstructured":"Achari, A., Das, M., Conjugate Heat Transfer Study of a Turbulent Slot Jet Impinging on a Moving Plate, Heat and Mass Transfer, 53 (2027), 03","DOI":"10.1007\/s00231-016-1873-7"},{"key":"ref42","unstructured":"Hinze, J. O., Turbulence, 2nd ed., McGraw-Hill, New York, USA, 1959"},{"key":"ref43","doi-asserted-by":"crossref","unstructured":"Shih, T. H., et al., A New k-\u03b5 Eddy Viscosity Model for High Reynolds Number Turbulent Flows, Computers and Fluids, 24 (1995), 03, pp. 227-238","DOI":"10.1016\/0045-7930(94)00032-T"},{"key":"ref44","doi-asserted-by":"crossref","unstructured":"Menter, M., Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAAJournal, 32 (1994), 01, pp. 1598-1605","DOI":"10.2514\/3.12149"},{"key":"ref45","doi-asserted-by":"crossref","unstructured":"Launder, B., et al., Progress in the Development of a Reynolds Stress Turbulence Closure, Journal of Fluid Mechanics, 68 (1975), 04, pp. 537-566","DOI":"10.1017\/S0022112075001814"},{"key":"ref46","unstructured":"Wilcox, D. C., Turbulence Modelling for CFD, 3rd ed., DCW Industries, La Canada, Cal., USA, 2006"},{"key":"ref47","doi-asserted-by":"crossref","unstructured":"Walters, D., Davor Cokljat, D., A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier- Stokes Simulations of Transitional Flow, Journal of Fluids Engineering-Transactions of the Asme, 130 (2008), 12, 2008","DOI":"10.1115\/1.2979230"},{"key":"ref48","unstructured":"***, Ansys, Ansys Fluent Theory Guide, ANSYS, Inc., 2021"},{"key":"ref49","doi-asserted-by":"crossref","unstructured":"Roache, P. J., Perspective: A Method for Uniform Reporting of Grid Refinement Studies, Journal of Fluids Engineering-Transactions of the Asme, 116 (1994), 09, pp. 405-413","DOI":"10.1115\/1.2910291"},{"key":"ref50","doi-asserted-by":"crossref","unstructured":"Hofmann, H., et al., Calculations of Steady and Pul- Sating Impinging Jets - An assessment of 13 Widely Used Turbulence Models, Numerical Heat Transfer Part B-Fundamentals, 51 (2007), 04, pp. 565-583","DOI":"10.1080\/10407790701227328"},{"key":"ref51","doi-asserted-by":"crossref","unstructured":"Zhou, D. W., Lee, S.-L., Forced Convective Heat Transfer with Impinging Rectangular Jets, Inter-National Journal of Heat and Mass Transfer, 50 (2007), 05, pp. 1916-1926","DOI":"10.1016\/j.ijheatmasstransfer.2006.09.022"},{"key":"ref52","doi-asserted-by":"crossref","unstructured":"Souris, N. N.. et al., Impinging Jet Cooling on concave Surfaces, AIChE Journal, 50 (2004), 08, pp. 1672-1683","DOI":"10.1002\/aic.10171"},{"key":"ref53","doi-asserted-by":"crossref","unstructured":"Nakamura, H., et al., Delay in Response of Turbulent Heat Transfer Against Acceleration or Deceleration of Flow in a Pipe, International Journal of Heat and Fluid-Flow, 85 (2020), 108661","DOI":"10.1016\/j.ijheatfluidflow.2020.108661"}],"container-title":["Thermal Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T18:24:00Z","timestamp":1705602240000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=0354-98362300127B"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"references-count":53,"journal-issue":{"issue":"6 Part B","published-print":{"date-parts":[[2023]]}},"URL":"https:\/\/doi.org\/10.2298\/tsci230206127b","relation":{},"ISSN":["0354-9836","2334-7163"],"issn-type":[{"value":"0354-9836","type":"print"},{"value":"2334-7163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023]]}}}