THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

Authors of this Paper

External Links

online first only

Microscale flow and heat transfer between the rotor and the flank for rotary engine

ABSTRACT
This paper is to investigate microscale flow and transfer between the rotor and the flank for rotary engine. The rotor and flank is simplified to two disks in order to study flow field and temperature field conveniently. The paper takes analysis of steady laminar flow and heat transfer between two disks separated by a gas-filled gap due to machining tolerance. A 3-D multi-physical coupling model is used, involving velocity slip, temperature jump, rarefaction and dissipation. A solution based on commercial code COMSOL is derived and the results are used to illustrate the effects to velocity field, temperature distribution, disks' torque and Nusselt number based on the governing parameters. The paper also investigates the effects of different modified Knudsen number on flow field and temperature field.
KEYWORDS
PAPER SUBMITTED: 2019-02-25
PAPER REVISED: 2019-07-23
PAPER ACCEPTED: 2019-07-31
PUBLISHED ONLINE: 2019-09-15
DOI REFERENCE: https://doi.org/10.2298/TSCI190225330Q
REFERENCES
  1. Rashidi, M.M.; Neda, K.; Shirley, A.; et al. Double diffusive magnetohydrodynamic (MHD) mixed convective slip flow along a radiating moving vertical flat plate with convective boundary condition. PLoS ONE 2014, 9(10):e109404.
  2. Owen, J.M.; Rogers, R.H. Flow and heat transfer in rotating disc system, rotor-stator system. Research studies, Taunton, UK and Wiley, New York, vol. 1, 1989.
  3. von Karman, T.; Angew, Z. Uber laminare und turbulente reibung. Math. Mech.1921, 1, 233-325.
  4. Muthtamilselvan, M.; Renuka, A. Nanofluid flow and heat simultaneously induced by two stretchable rotating disks using buongiorno's model. MMMS2018, 14(5), 1115-1128.
  5. Knyazev, D.V. Axisymmetric flows of an incompressible fluid between movable rotating disks. Fluid Dynamics2011, 46, 558-564.
  6. Mustafa Turkyilmazoglu. Flow and heat simultaneously induced by two stretchable rotating disks.Physics of FLUIDs2016, 28, 043601.
  7. Navier, C.L.M.H. Mémoires de l.'Académie, Royale des Sciences de l'Institut de France 1823, 1, 414-416.
  8. Goldstein, D. In Modern developments in Fluid Machanics, 2nd ed.; Clarendon Press; Publisher: Oxford, England, 1938; Volume II, pp. 4.3-4.6.
  9. Ho, C.M.; Tai, Y.C. Micro-Electro-Mechanical Systems (MEMS) and fluid flow. Annu. Rev. Fluid Mech.1998, 30, 579-612.
  10. Haeri, S.; Shrimpton, J.S. A new implicit fictitious domain method for the simulation of flow in complex geometries with heat transfer. J COMPUT PHYS2013, 237, 21-45.
  11. Nicolas, G.H.; Olga, S. Constant-wall-temperature Nusselt number in micro and nano-channels. ASME2002, 124, 356-364.
  12. Anderson, H.I.; Valnes, O.A. Slip-flow boundary conditions for non-Newtonian lubrication layers. Fluid Dyn. Res.1999, 24, 211-217.
  13. Anderson, H.I.; Rousselet, M. Slip flow over a lubricated rotating disk. Int. J. Heat Mass Transfer2006, 27, 329-335.
  14. Moomey, M.; Wang, C.Y. The flow due to a rough rotating disk. ZAMP2004, 54, 1-12.
  15. Tretheway, D.C.; Meinhart, C.D. A generating mechanism for apparent fluid slip in hydrophobic microchannels. Phys. Fluid2004, 16, 1509-1515.
  16. Barns, H.A. A review of the slip (wall depletion) of polymer solutions, emulsion and patricle suspensions in viscometers: its cause, character, and cure. J. Non-Newton. Fluid 1995, 56, 221-251.
  17. Wein, O. Viscometric flow under apparent wall slip in parallel-plate geometry. J. Non-Newton. Fluid 2005, 126, 105-114.
  18. Miklavcic, M; Wang, C.Y. The flow due to a rough rotating disk. ZAMP2004, 54, 1-12.
  19. Zandbergen, P.J.; Dijkstra, D. von Karman swirling flows. Annu. Rev. Fluid Mech1987, 19, 465-491.
  20. Honzík, Petr; Bruneau, M. Acoustic fields in thin fluid layers between vibrating walls and rigid boundaries: integral method. Acta Acustica united with Acustica 2015, 101(4), 859-862.
  21. Szeri, A.Z.; Schneider, S.J.; Labbe, F.; Kaufman, H.N. Flow between rotating disks. Part I: basic flow. J. Fluid Mech. 1983, 134, 103-131.
  22. Heise, M.; Hoffmann, C.; Will, C.; Altmeyer, S.; Abshagen, J. and Pfister, G. Co-rotating taylor-couette flow enclosed by stationary disks. J. Fluid Mech. 2013, 716, R4.
  23. Brady, J.F.; Durlofsky, M.R.; Dawson, C. Slip at a uniformly porous boundary: effect on fluid flow and mass transfer. J. Eng. Math. 1992, 26, 481-492.
  24. Magyari, E.; Ali, M. E. and Keller, B. Heat and mass transfer characteristics of the self-similar boundary-layer flows induced by continuous surfaces stretched with rapidly decreasing velocities. Heat Mass Tran 2001, 38(1-2), 65-74.
  25. Agarwal, R.S.; Dhanapal, C. Heat transfer in micropolar fluid flow between two coaxial discs-one rotating and the other at rest. Int. J. Sci. 1989, 27, 181-186.
  26. Arora, R.C.; Stokes, V.K. On the heat transfer between two rotating disks. Int. J. Heat Mass Transfer 1995, 15, 2119-2132.
  27. Gad-el-Hak, M. Flow physics. In: Gad-el-Hak, M. (Ed.), The MEMS Handbook. CRC Press, 2005, 676-680.
  28. Zohar, Y. Heat Convection in Micro Ducts. Klumer Academic Publishers. 2005, 21.
  29. Karniadakis, G.; Beskok, A.; Aluru, N. Microflows and Nanoflows. Spring 2005, 63.
  30. Roozemond, P.C.; Van Drongelen, M.; Ma, Z.; Hulsen, M.A.; Peters, G.W.M. Modeling flow-induced crystallization in isotactic polypropylene at high shear rates. J. Rheol. 2015, 59(3), 613-642.