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Streak creation using groove and heating patterns

S. Panday* and J. M. Floryan

  • Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9

  • *spanday2@uwo.ca

Phys. Rev. Fluids 7, 083502 – Published 5 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.083502

Abstract

The use of streamwise grooves for intensification of streaks created by heating in shear layers has been investigated. Three ranges of groove wave numbers were of interest: wave numbers near the critical wave number of the Rayleigh-Bénard (RB) instability, wave numbers characterizing drag-reducing grooves, and the optimal wave numbers. It is shown that uniform heating of a grooved surface produces intense streaks only when the groove wave number is near the critical RB wave number and the heating intensity exceeds the critical RB intensity. The use of long-wavelength grooves reduces flow losses, but the resulting streaks are less intense. The use of heating patterns tuned with groove patterns can produce very intense streaks whose spatial distribution is easily controlled through selection of the patterns’ wave number. An increase of flow losses due to patterned heating can be compensated for using spatial groove distributions with drag-reducing capabilities. It has been demonstrated that the most effective wave number producing high-intensity streaks at low flow losses is between the RB wave number and the drag-reducing wave numbers—this optimal wave number has been identified.

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References (55)

  1. C. Eckart, An analysis of the stirring and mixing processes in incompressible fluids, J. Mar. Res. 7, 265 (1948).
  2. J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge University Press, Cambridge, UK, 1989).
  3. H. Yang, Chaotic mixing and transport in wave systems and the atmosphere, Int. J. Bifurcation Chaos 3, 6 (1993).
  4. E. Villermaux, Mixing versus stirring, Annu. Rev. Fluid Mech. 51, 245 (2019).
  5. A. E. Bergles, The implications and challenges of enhanced heat transfer for the chemical process industries, Chem. Eng. Res. Des. 79, 4 (2001).
  6. P. M. Ligrani, M. M. Oliveira, and T. Blaskovich, Comparison of heat transfer augmentation techniques, AIAA J. 41, 3 (2003).
  7. M. Siddique, A. R. A. Khaled, N. I. Abdulhafiz, and A. Y. Boukhary, Recent advances in heat transfer Enhancements: A review report, Int. J. Chem. Eng. 2010, 106461 (2010).
  8. S. Balasuriya, Optimal Frequency for Microfluidic Mixing across a Fluid Interface, Phys. Rev. Lett. 105, 064501 (2010).
  9. K. M. Butler and B. F. Farrell, Three-dimensional optimal perturbations in viscous shear flow, Phys. Fluids A 4, 1637 (1992).
  10. F. Waleffe, On a self-sustaining process in shear flows, Phys. Fluids 9, 883 (1997).
  11. F. Waleffe, Homotopy of exact coherent structures in plane shear flows, Phys. Fluids 15, 1517 (2003).
  12. S. I. Chernyshenko and M. F. Baig, The mechanism of streak formation in near-wall turbulence, J. Fluid Mech. 544, 99 (2005).
  13. J. Jiménez, How linear is wall-bounded turbulence?, Phys. Fluids 25, 110814 (2013).
  14. J. Park, Y. Hwang, and C. Cossu, On the stability of large-scale streaks in turbulent Couette and Poiseuille flows, C. R. Mec. 339, 1 (2011).
  15. K. E. Omari, E. Younes, T. Burghelea, C. Castelian, Y. Moguen, and Y. L. Guer, Active chaotic mixing in a channel with rotating arc-walls, Phys. Rev. Fluids 6, 024502 (2021).
  16. J. M. Floryan, On the Görtler instability of boundary layers, Prog. Aerospace Sci. 28, 235 (1991).
  17. P. J. Schmid and D. S. Henningson, Stability and Transition in Shear Flows (Springer, Berlin, Germany, 2001).
  18. A. E. Bergles, Handbook of Heat Transfer, 3rd ed. (McGraw-Hill, New York, US, 1998).
  19. S. Panday and J. M. Floryan, Creation of streaks using heating patterns, Phys. Fluids 33, 083604 (2021).
  20. A. Mohammadi, H. V. Moradi, and J. M. Floryan, New instability mode in a grooved channel, J. Fluid Mech. 778, 691 (2015).
  21. H. V. Moradi and J. M. Floryan, Stability of flow in a channel with longitudinal grooves, J. Fluid Mech. 757, 613 (2014).
  22. S. W. Gepner and J. M. Floryan, Use of surface corrugations for energy-efficient chaotic stirring in low Reynolds number flows, Sci. Rep. 10, 9865 (2020).
  23. A. Mohammadi and J. M. Floryan, Pressure losses in grooved channels, J. Fluid Mech. 725, 23 (2013).
  24. M. Muthuramalingam, L. S. Villemin, and C. Brueckner, Streak formation in flow over biomimetic fish scale arrays, J. Exp. Biol. 222, 205963 (2019).
  25. A. D. Stroock, S. K. W. Dertinger, A. Ajdari, I. Mezic, H. A. Stone, and G. M. Whitesides, Chaotic mixer for microchannels, Science 295, 647 (2002).
  26. J. W. S. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Philos. Mag. 32, 529 (1916).
  27. H. Bénard, Les tourbillons cellulaires dans une nappe liquide, Rev. Gen. Sci. Pure Appl. 11, 1261 (1900).
  28. R. E. Kelly, The onset and development of thermal convection in fully developed shear flows, Adv. Appl. Mech. 31, 35 (1994).
  29. M. Akiyama, G. J. Hwang, and K. C. Cheng, Experiments on the onset of longitudinal vortices in laminar forced convection between horizontal plates, J. Heat Transfer 93, 335 (1971).
  30. R. S. Wu and K. C. Cheng, Thermal instability of Blasius flow along horizontal plates, Int. J. Heat Mass Transfer 105, 907 (1976).
  31. A. Moutsoglou, T. S. Chen, and I. C. Cheng, Vortex instability of mixed convection flow over a horizontal flat plate, J. Heat Transfer 103, 257 (1981).
  32. K. Clien and M. M. Cheng, Thermal instability of forced convection boundary layers, J. Heat Transfer 106, 284 (1984).
  33. X. A. Wang, An experimental study of mixed forced and free convection heat transfer from a horizontal flat plate to air, J. Heat Transfer 104, 139 (1982).
  34. J. M. Floryan, Flow management using natural instabilities, Arch. of Mech. 58, 575 (2006).
  35. H. V. Moradi, A. C. Budiman, and J. M. Floryan, Use of natural instabilities for generation of streamwise vortices in a channel, Theor. Comput. Fluid Dyn. 31, 233 (2017).
  36. M. Z. Hossain and J. M. Floryan, Instabilities of natural convection in a periodically heated layer, J. Fluid Mech. 733, 33 (2013).
  37. M. Z. Hossain and J. M. Floryan, Mixed convection in a periodically heated channel, J. Fluid Mech. 768, 51 (2015).
  38. M. Z. Hossain and J. M. Floryan, Wavenumber lock-in and spatial parametric resonance in convection, J. Fluid Mech. 944, A47 (2022).
  39. M. Z. Hossain, D. Floryan, and J. M. Floryan, Drag reduction due to spatial thermal modulations, J. Fluid Mech. 713, 398 (2012).
  40. A. Inasawa, K. Taneda, and J. M. Floryan, Experiments on flows in channels with spatially distributed heating, J. Fluid Mech. 872, 177 (2019).
  41. J. M. Floryan, S. Shadman, and M. Z. Hossain, Heating-induced drag reduction in relative movement of parallel plates, Phys. Rev. Fluids 3, 094101 (2018).
  42. T. C. Jin, J. Z. Wu, Y. Z. Zhang, Y. L. Liu, and Q. Zhou, Shear-induced modulation of thermal convection over rough plates, J. Fluid Mech. 936, A28 (2022).
  43. S. Paolucci, On the Filtering of Sound from the Navier-Stokes Equations, Report No. SAND 82-8257 (Sandia National Laboratories, Livermore, CA, 1982).
  44. J. Szumbarski and J. M. Floryan, A direct spectral method for determination of flows over corrugated boundaries, J. Comput. Phys. 153, 378 (1999).
  45. S. Z. Husain, J. Szumbarski, and J. M. Floryan, Over-constrained formulation of the immersed boundary condition method, Comput. Methods Appl. Mech. Eng. 199, 94 (2009).
  46. S. Z. Husain and J. M. Floryan, Spectrally-accurate algorithm for moving boundary problems for the Navier-Stokes equations, J. Comput. Phys. 229, 2287 (2010).
  47. A. Cabal, J. Szumbarski, and J. M. Floryan, Numerical simulation of flows over corrugated walls, Comput. Fluids 30, 753 (2001).
  48. S. Panday and J. M. Floryan, An algorithm for analysis of pressure losses in heated channels, Int. J. Numer. Methods Fluids 93, 1332 (2021).
  49. Y. Chen, J. M. Floryan, Y. T. Chew, and B. C. Khoo, Groove-induced changes of discharge in channel flows, J. Fluid Mech. 799, 297 (2016).
  50. A. Abtahi and J. M. Floryan, Natural convection in corrugated slots, J. Fluid Mech. 815, 537 (2017).
  51. A. Abtahi and J. M. Floryan, Natural convection and thermal drift, J. Fluid Mech. 826, 553 (2017).
  52. J. M. Floryan and A. Inasawa, Pattern interaction effect, Sci. Rep. 11, 14573 (2021).
  53. A. Abtahi and J. M. Floryan, On the formation of thermal drift, Phys. Fluids 30, 043602 (2018).
  54. A. Asgarian, M. Z. Hossain, and J. M. Floryan, Rayleigh-Bénard convection driven by a long wavelength heating, Theor. Comput Fluid Dyn. 30, 313 (2016).
  55. J. M. Floryan, M. Z. Hossain, and A. P. Bassom, Modified Rayleigh–Bénard convection driven by long-wavelength heating from above and below, Theor. Comput. Fluid Dyn. 33, 37 (2019).

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