Numerical simulation of fluid flow and heat transfer in a rotating cylindrical container with a counter-rotating disk at the fluid surface

Abstract

Fluid flow and heat transfer in a rotating cylindrical container with a counterrotating disk at the fluid surface are numerically investigated. The effects of disk rotation and of Prandtl numbers on the fluid flow and heat transfer in the container are discussed. Flow and temperature fields are obtained for various rotational Reynolds numbers of the disk and for Prandtl numbers of the fluid. Nusselt numbers on the walls are calculated for the temperature fields and are compared with available experimental data. © 1999 Scripta Technica, Heat Trans Asian Res, 28(3): 172–182, 1999

Dynamic interaction of heat transfer, air flow and disc vibration of disc drives — Theoretical development and numerical analysis

“…Inamuro et al [10] investigated the axisymmetric incompressible flow and heat transfer in a rotating cylindrical container with a counter-rotating disc, and discussed effects of disc rotation and of Prandtl numbers on them. enclosure's base thickness L g enclosure's gap width L r element size in the r direction L t enclosure's cover thickness L w enclosure's wall thickness L z element size in the z direction L 1 enclosure's upper cavity height L 2 enclosure's lower cavity height m number of nodal circles of a disc mode n number of nodal diameters of a disc mode p relative air pressure p averaged relative air pressure P steady state pressure difference across disc thickness P A total heat generation power of aerodynamic heating P B heat generation power of enclosure base P S heat generation power of shaft base q aerodynamic heating flux q averaged aerodynamic heating flux q B heat flux to the enclosure's base q S heat flux to the driving shaft r radial coordinate r 0 radial coordinate at centre of a ring element Bessel function of the first kind K n (r) modified Bessel function of the second kind Y a (r)…”

“…(1) The fluid and temperature solution domains and the external heat source model are not quite realistic in the models of rotating disc systems, in that the infinite or open shroud domain and the constant temperature boundary were often assumed and used in most works [5][6][7][8][10][11][12][14][15][16][17][18][19][20]. These are not quite true for hard/optical disc drives in an enclosure and with the heat sources of heat flux type, as indicated theoretically and experimentally by Cho et al [13], Ng et al [21], Tan et al [22] and Yang et al [23].…”

“…These are not quite true for hard/optical disc drives in an enclosure and with the heat sources of heat flux type, as indicated theoretically and experimentally by Cho et al [13], Ng et al [21], Tan et al [22] and Yang et al [23]. (2) The aerodynamic heating effect due to fluid's viscous dissipation was considered to be small and even neglected in the energy equation of the rotating disc systems [10][11][12][14][15][16][17]19,20], whereas the decrease of disc temperature at its outer edge found in the numerical simulation cannot be confirmed by the experimental observation by Kameya et al [24]. (3) The temperature distribution of the surrounding fluid was analysed in [10][11][12][14][15][16][17][18][19][20], but that of the rotating disc itself was ignored, although the dynamic characteristics of the rotating disc can be affected significantly by the thermal stresses induced by the disc temperature variation.…”

“…(2) The aerodynamic heating effect due to fluid's viscous dissipation was considered to be small and even neglected in the energy equation of the rotating disc systems [10][11][12][14][15][16][17]19,20], whereas the decrease of disc temperature at its outer edge found in the numerical simulation cannot be confirmed by the experimental observation by Kameya et al [24]. (3) The temperature distribution of the surrounding fluid was analysed in [10][11][12][14][15][16][17][18][19][20], but that of the rotating disc itself was ignored, although the dynamic characteristics of the rotating disc can be affected significantly by the thermal stresses induced by the disc temperature variation. (4) The numeric simulations of fluid flow and heat transfer were performed at only several prescribed disc speeds [6][7][8][9][10] due to the limitation of computation capacity, although a comprehensive investigation over a large continuous speed range is much more realistic and useful.…”

“…(3) The temperature distribution of the surrounding fluid was analysed in [10][11][12][14][15][16][17][18][19][20], but that of the rotating disc itself was ignored, although the dynamic characteristics of the rotating disc can be affected significantly by the thermal stresses induced by the disc temperature variation. (4) The numeric simulations of fluid flow and heat transfer were performed at only several prescribed disc speeds [6][7][8][9][10] due to the limitation of computation capacity, although a comprehensive investigation over a large continuous speed range is much more realistic and useful. (5) For computer hard/optical disc drives, although some related investigations [5][6][7][8][9] of fluid flow have been made on the vibration and flutter instability of a rotating disc, there is no study on the problem of heat transfer and thermoelastic dynamic coupling with the fluid flow induced by disc rotation.…”