Global, nonparametric, noniterative optimization of time-averaged quantities under small, time-varying forcing: An application to a thermal convection field

References

• J. C. Hermanson, M. G. Mungal, and P. E. Dimotakis, “Heat release effects on shear-layer growth and entrainment,” AIAA J., vol. 25, no. 4, pp. 578–583, 1987. DOI: 10.2514/3.9666.
   Google Scholar
• A. K. Charakopoulos, T. E. Karakasidis, P. N. Papanicolaou, and A. Liakopoulos, “Nonlinear time series analysis and clustering for jet axis identification in vertical turbulent heated jets,” Phys. Rev. E, vol. 89, no. 3, pp. 032913, 2014. DOI: 10.1103/PhysRevE.89.032913.
   Web of Science ®Google Scholar
• H. Sakashita, “Temperature measurements near the heating surface at high heat fluxes in pool boiling of 2-propanol/water mixtures,” Int. J. Heat Mass Transfer, vol. 93, pp. 1000–1007, 2016. DOI: 10.1016/j.ijheatmasstransfer.2015.10.042.
   Web of Science ®Google Scholar
• P. Bräunlich, J. Gasiot, J. P. Fillard, and M. Castagne, “Laser heating of thermoluminescent dielectric layers,” Appl. Phys. Lett., vol. 39, no. 9, pp. 769–771, 1981. DOI: 10.1063/1.92848.
   Web of Science ®Google Scholar
• M. R. Mross, and J. E. Walsh, “Turbulent heating in a moderate energy electron beam plasma experiment,” Phys. Fluids, vol. 19, no. 8, pp. 1217–1222, 1976. DOI: 10.1063/1.861604.
   Web of Science ®Google Scholar
• T. S. Team et al., “New tokamak plasma regime with stationary temperature oscillations,” Phys. Rev. Lett., vol. 91, pp. 135001, 2003. DOI: 10.1103/PhysRevLett.91.135001.
   PubMed Web of Science ®Google Scholar
• S. R. Tieszen, T. J. O’hern, E. J. Weckman, and R. W. Schefer, “Experimental study of the effect of fuel mass flux on a 1-m-diameter methane fire and comparison with a hydrogen fire,” Combust. Flame, vol. 139, no. 1–2, pp. 126–141, 2004. DOI: 10.1016/j.combustflame.2004.08.006.
   Web of Science ®Google Scholar
• P. M. Ligrani, J. L. Harrison, G. I. Mahmmod, and M. L. Hill, “Flow structure due to dimple depressions on a channel surface,” Phys. Fluids, vol. 13, no. 11, pp. 3442–3451, 2001. DOI: 10.1063/1.1404139.
   Web of Science ®Google Scholar
• J. Friedrich, Y. S. Lee, B. Fischer, C. Kupfer, D. Vizman, and G. Müller, “Experimental and numerical study of Rayleigh-Bénard convection affected by a rotating magnetic field,” Phys. Fluids, vol. 11, no. 4, pp. 853–861, 1999. DOI: 10.1063/1.869957.
   Web of Science ®Google Scholar
• M. Shapiro, and H. Brenner, “Taylor dispersion in the presence of time-periodic convection phenomena. Part II. Transport of transversely oscillating Brownian particles in a plane Poiseuille flow,” Phys. Fluids A, vol. 2, no. 10, pp. 1744–1753, 1990. DOI: 10.1063/1.857701.
   Web of Science ®Google Scholar
• M. B. Chiekh, M. Ferchichi, J. C. Béra, and M. Michard, “Minimization of time-averaged and unsteady aerodynamic forces on a thick flat plate using synthetic jets,” J. Fluids Struct., vol. 54, pp. 522–535, 2015. DOI: 10.1016/j.jfluidstructs.2014.12.007.
   Web of Science ®Google Scholar
• Z. Wang, and I. Gursul, “Lift enhancement of a flat-plate airfoil by steady suction,” AIAA J., vol. 55, no. 4, pp. 1–18, 2017.
   Google Scholar
• A. P. Baskakov et al., “Heat transfer to objects immersed in fluidized beds,” Powder Tech., vol. 8, no. 5/6, pp. 273–282, 1973. DOI: 10.1016/0032-5910(73)80092-0.
   Web of Science ®Google Scholar
• L. R. Glicksman, and A. W. Hunt, Jr, “Numerical simulation of dropwise condensation,” Int. J. Heat Mass Transfer, vol. 15, no. 11, pp. 2251–2269, 1972. DOI: 10.1016/0017-9310(72)90046-4.
   Web of Science ®Google Scholar
• T. Khan, and R. Turton, “The measurement of instantaneous heat transfer coefficients around the circumference of a tube immersed in a high temperature fluidized bed,” Int. J. Heat Mass Transfer, vol. 35, no. 12, pp. 3397–3406, 1992. DOI: 10.1016/0017-9310(92)90226-I.
   Web of Science ®Google Scholar
• A. Velazquez, J. Arias, and B. Mendez, “Laminar heat transfer enhancement downstream of a backward facing step by using a pulsating flow,” Int. J. Heat Mass Transfer, vol. 51, no. 7–8, pp. 2075–2089, 2008. DOI: 10.1016/j.ijheatmasstransfer.2007.06.009.
   Web of Science ®Google Scholar
• M. Pourgholam, E. Izadpanah, R. Motamedi, and S. E. Habibi, “Convective heat transfer enhancement in a parallel plate channel by means of rotating or oscillating blade in the angular direction,” Appl. Thermal Eng., vol. 78, pp. 248–257, 2015. DOI: 10.1016/j.applthermaleng.2014.12.057.
   Web of Science ®Google Scholar
• Z. Cheng, C. Juli, N. B. Wood, R. G. J. Gibbs, and X. Y. Xu, “Predicting flow in aortic dissection: Comparison of computational model with PC-MRI velocity measurements,” Med. Eng. Phys., vol. 36, no. 9, pp. 1176–1184, 2014. DOI: 10.1016/j.medengphy.2014.07.006.
   PubMed Web of Science ®Google Scholar
• E. Kidher, Z. Cheng, O. A. Jarral, D. P. O. Regan, X. Y. Xu, and T. Athanasiou, “In-vivo assessment of the morphology and hemodynamic functions of the BioValsalva composite valve-conduit graft using cardiac magnetic resonance imaging and computational modelling technology,” J. Card. Surg., vol. 9, pp. 193, 2014.
   Web of Science ®Google Scholar
• M. A. Stevens, “Width of straight alluvial channels,” J. Hydr. Eng., vol. 115, no. 3, pp. 309–326, 1989. DOI: 10.1061/(ASCE)0733-9429(1989)115:3(309).
   Google Scholar
• L. Kolsi, K. Kalidasan, A. Alghamdi, M. N. Borjini, and P. R. Kanna, “Natural convection and entropy generation in a cubical cavity with twin adiabatic blocks filled by aluminum oxide–water nanofluid,” Numer. Heat Transfer A, vol. 70, no. 3, pp. 242–259, 2016. DOI: 10.1080/10407782.2016.1173478.
   Web of Science ®Google Scholar
• W. Zhang, H. Yang, H. S. Dou, and Z. Zhu, “Forced convection of flow past two tandem rectangular cylinders in a channel,” Numer. Heat Transfer A, vol. 72, no. 1, pp. 89–106, 2017. DOI: 10.1080/10407782.2017.1353384.
   Web of Science ®Google Scholar
• A. Abdelmoula, B. A. Younis, S. Spring, and B. Weigand, “Large-eddy simulations of heated flows in ribbed channels with spanwise rotation,” Numer. Heat Transfer A, vol. 74, no. 1, pp. 895–916, 2018. DOI: 10.1080/10407782.2018.1513282.
   Web of Science ®Google Scholar
• W. Wang, Y. Zhang, J. Liu, B. Li, and B. Sundén, “Large eddy simulation of turbulent flow and heat transfer in outward transverse and helically corrugated tubes,” Numer. Heat Transfer A, vol. 75, no. 7, pp. 456–468, 2019. DOI: 10.1080/10407782.2019.1608763.
   Web of Science ®Google Scholar
• C. Yundong, L. Xiaoming, W. Erzhi, J. Li, and W. Guang, “Electric field optimization design of the vacuum interrupter based on the Tabu search algorithm,” IEEE Trans. Dielect. Elect. Insulation, vol. 9, no. 2, pp. 169–172, 2002.
   Web of Science ®Google Scholar
• J. L. Paulsen, J. Franck, V. Demas, and L. S. Bouchard, “Least squares magnetic-field optimization for portable nuclear magnetic resonance magnet design,” IEEE Trans. Magnetics, vol. 44, no. 12, pp. 4582–4590, 2008. DOI: 10.1109/TMAG.2008.2001697.
   Web of Science ®Google Scholar
• Y. Liu, Q. Chen, K. Hu, and J. H. Hao, “Flow field optimization for the solar parabolic trough receivers in direct steam generation systems by the variational principle,” Int. J. Heat Mass Transfer, vol. 102, pp. 1073–1081, 2016. DOI: 10.1016/j.ijheatmasstransfer.2016.06.083.
   Web of Science ®Google Scholar
• D. N. Srinath, and S. Mittal, “Optimal aerodynamic design of airfoils in unsteady viscous flows,” Comput. Meth. Appl. Mech. Eng., vol. 199, no. 29–32, pp. 1976–1991, 2010. DOI: 10.1016/j.cma.2010.02.016.
   Web of Science ®Google Scholar
• C. Y. Ho, and C. Y. Huang, “Non-cooperative multi-cell resource allocation and modulation adaptation for maximizing energy efficiency in uplink OFDMA cellular networks,” IEEE Wireless Commun. Lett., vol. 1, no. 5, pp. 420–423, 2012. DOI: 10.1109/WCL.2012.061212.120239.
   Web of Science ®Google Scholar
• A. Beloglazov, and R. Buyya, “Managing overloaded hosts for dynamic consolidation of virtual machines in cloud data centers under quality of service constraints,” IEEE Trans. Parallel Distributed Syst., vol. 24, no. 7, pp. 1366–1379, 2013. DOI: 10.1109/TPDS.2012.240.
   Web of Science ®Google Scholar
• P. Venini, and M. Pingaro, “A new approach to optimization of viscoelastic beams: Minimization of the input/output transfer function H∞-norm,” Struct. Multidisc. Optim., vol. 55, no. 5, pp. 1559–1573, 2017. DOI: 10.1007/s00158-016-1600-5.
   Google Scholar
• M. Hadi, and M. R. Pakravan, “Rate-maximized scheduling in adaptive OCDMA systems using stochastic optimization,” IEEE Commun. Lett., vol. 22, no. 4, pp. 728, 2018. DOI: 10.1109/LCOMM.2018.2793865.
   Web of Science ®Google Scholar
• L. Fang, and X. Li, “Design optimization of unsteady airfoils with continuous adjoint method,” Appl. Math. Mech. Engl. Ed., vol. 36, no. 10, pp. 1329–1336, 2015. DOI: 10.1007/s10483-015-2010-9.
   Google Scholar
• I. Grigorenko, M. E. Garcia, and K. H. Bennemann, “Theory for the optimal control of time-averaged quantities in quantum systems,” Phys. Rev. Lett., vol. 89, no. 23, pp. 233003, 2002. DOI: 10.1103/PhysRevLett.89.233003.
   PubMed Web of Science ®Google Scholar
• P. A. Nelson, J. K. Hammond, P. Joseph, and S. J. Elliott, “Active control of stationary random sound fields,” J. Acoust. Soc. Am., vol. 87, no. 3, pp. 963–975, 1990. DOI: 10.1121/1.399432.
   Web of Science ®Google Scholar
• X. Chen, and J. G. Muga, “Transient energy excitation in shortcuts to adiabaticity for the time-dependent harmonic oscillator,” Phys. Rev. A, vol. 82, no. 5, pp. 053403, 2010. DOI: 10.1103/PhysRevA.82.053403.
   Web of Science ®Google Scholar
• H. Ishida, K. Yamamoto, S. Nishihara, T. Oki, and G. Kawahara, “Forced oscillations, optimal forcing and resonance of thermal convection under small, time-varying forcing,” Int. J. Heat Mass Transfer, vol. 55, no. 23–24, pp. 6618–6631, 2012. DOI: 10.1016/j.ijheatmasstransfer.2012.06.071.
   Web of Science ®Google Scholar
• H. Ishida, S. Sugimura, T. Kuroda, and G. Kawahara, “Second-order approximation to forced oscillations of thermal convection under small time-varying forcing,” Int. J. Heat Mass Transfer, vol. 96, pp. 145–153, 2016. DOI: 10.1016/j.ijheatmasstransfer.2016.01.033.
   Web of Science ®Google Scholar
• G. Z. Gershuni, and D. V. Lyubimov, Thermal Vibrational Convection. Chichester, UK: John Wiley & Sons Ltd, 1998.
   Google Scholar
• G. Z. Gershuni, and Y. M. Zhukhovitskiy, “Vibration-induced thermal convection in weightlessness,” Fluid Mech. Sov. Res., vol. 15, pp. 63–84, 1986.
   Google Scholar
• W. S. Fu, and W. J. Shieh, “A study of thermal convection in an enclosure induced simultaneously by gravity and vibration,” Int. J. Heat Mass Transfer, vol. 35, pp. 1695–1710, 1992.
   Web of Science ®Google Scholar
• H. Ishida, and H. Kimoto, “Vibration effects on the average heat transfer characteristics of the natural convection field in a square enclosure,” Heat Trans. Asian Res., vol. 29, no. 7, pp. 545–558, 2000. DOI: 10.1002/1523-1496(200011)29:7<545::AID-HTJ2>3.0.CO;2-4.
   Google Scholar
• G. B. Kim, J. M. Hyun, and H. Sang Kwak, “Enclosed buoyant convection of a variable-viscosity fluid under time-periodic thermal forcing,” Numer. Heat Transfer A, vol. 43, no. 2, pp. 137–154, 2003. DOI: 10.1080/10407780307327.
   Web of Science ®Google Scholar
• S. K. Kim, S. Y. Kim, and Y. D. Choi, “Amplification of boundary layer instability by hot wall thermal oscillation in a side heated cavity,” Phys. Fluids, vol. 17, no. 1, pp. 014103, 2005. DOI: 10.1063/1.1828122.
   Web of Science ®Google Scholar
• E. V. Kalabin, M. V. Kanashina, and P. T. Zubkov, “Heat transfer from the cold wall of a square cavity to the hot one by oscillatory natural convection,” Numer. Heat Transfer A, vol. 47, no. 6, pp. 609–619, 2005. DOI: 10.1080/10407780590911567.
   Web of Science ®Google Scholar
• E. V. Kalabin, M. V. Kanashina, and P. T. Zubkov, “Natural-convective heat transfer in a square cavity with time-varying side-wall temperature,” Numer. Heat Transfer A, vol. 47, no. 6, pp. 621–631, 2005. DOI: 10.1080/10407780590896853.
   Web of Science ®Google Scholar
• C. S. Yih, “Gravity waves in a stratified fluid,” J. Fluid Mech., vol. 8, no. 4, pp. 481–508, 1960. DOI: 10.1017/S002211206000075X.
   Web of Science ®Google Scholar
• S. A. Thorpe, “On standing internal gravity waves of finite amplitude,” J. Fluid Mech., vol. 32, no. 3, pp. 489–528, 1968. DOI: 10.1017/S002211206800087X.
   Google Scholar
• S. Paolucci, and D. R. Chenoweth, “Transition to chaos in a differentially heated vertical cavity,” J. Fluid Mech., vol. 201, no. 1, pp. 379–410, 1989. DOI: 10.1017/S0022112089000984.
   Google Scholar