Heat transfer and thermal pattern around a sphere in a turbulent boundary layer

Abstract Direct numerical simulation (DNS) is performed by solving the governing equations for fluid flow and heat transfer. The nondimensional sphere diameters are 17 and 34 wall units and cover several collocation points of the fluid. Two-way coupling is used to account for the effect of the sphere on the structure of the near-wall turbulence and the main stream. The calculation of the thermal field is done with the same grid system used for the velocity field. Water was used as test fluid, with the Prandtl number Pr =5.4. The calculation is performed for a single stationary sphere attached to the bottom of the flume. The heat transfer calculations were carried out at a constant heat flux wall boundary condition. The present DNS results indicate essential enhancement of heat transfer coefficient associated with a flow motion toward the wall. The thermal pattern around the sphere is obtained and compared with the experimental images. A possible mechanism of heat transfer in the presence of coarse particles in the near-wall region of a turbulent boundary layer is discussed.

[1]  M. W. Collins,et al.  Experimental and Numerical Analysis of Convective Heat Transfer in Turbulent Channel Flow with Square and Circular Columns , 1995 .

[2]  Hiroshi Kawamura,et al.  DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid , 1998 .

[3]  Richard J Goldstein,et al.  The effect of a wall boundary layer on local mass transfer from a cylinder in crossflow , 1984 .

[4]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[5]  Numerical Investigation of Near-Wall Turbulent Heat Transfer Taking Into Account the Unsteady Heat Conduction in the Solid Wall , 1989 .

[6]  I. Tiselj,et al.  Numerical study of thermal streak spacing in turbulent boundary layer with constant heat-flux boundary condition , 2000 .

[7]  Albert Mosyak,et al.  Direct numerical simulation of particle-turbulence interaction , 1999 .

[8]  N. Kasagi,et al.  Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow , 1992 .

[9]  Masaru Hirata,et al.  Heat Transfer Mechanism and Associated Turbulence Structure in the Near-Wall Region of a Turbulent Boundary Layer , 1985 .

[10]  Franz Durst,et al.  Turbulent Shear Flow , 1992 .

[11]  S. Garimella,et al.  Thermal wake downstream of a three-dimensional obstacle , 1996 .

[12]  J. Ultman,et al.  A photographic method for the visualization of mass uptake patterns in aqueous systems , 1993 .

[13]  Thermal streaks regeneration in the wake of a disturbance in a turbulent boundary layer , 1997 .

[14]  J. Davalath,et al.  Forced Convection Cooling Across Rectangular Blocks , 1987 .

[15]  Haecheon Choi,et al.  Direct numerical simulation of turbulent thermal boundary layers , 2000 .

[16]  Gad Hetsroni,et al.  Heat transfer to a liquid—solid mixture in a flume , 1994 .

[17]  D. Lu,et al.  Heat transfer enhancement by a particle on the bottom of a flume , 1995 .

[18]  D. Lu,et al.  Direct numerical simulation of a turbulent open channel flow with passive heat transfer , 1995 .

[19]  J. McLaughlin.  Inertial migration of a small sphere in linear shear flows , 1991, Journal of Fluid Mechanics.

[20]  G. Hetsroni,et al.  The effect of coarse particles on the heat transfer in a turbulent boundary layer , 1997 .

[21]  P. Saffman.  The lift on a small sphere in a slow shear flow , 1965, Journal of Fluid Mechanics.

[22]  Ryoichi Kurose,et al.  Drag and lift forces on a rotating sphere in a linear shear flow , 1999, Journal of Fluid Mechanics.

[23]  Mohammad Faghri,et al.  PREDICTION OF TURBULENT THREE-DIMENSIONAL HEAT TRANSFER OF HEATED BLOCKS USING LOW-REYNOLDS NUMBER TWO-EQUATION MODEL , 1994 .

[24]  R. LeVeque.  Numerical methods for conservation laws , 1990 .

[25]  Thomas J. Hanratty,et al.  Limiting behavior of turbulent scalar transport close to a wall , 2000 .

[26]  G. Ziskind,et al.  Effect of particle motion on the wall’s thermal structure and on heat transfer , 2001 .

[27]  J. Karni,et al.  Heat Transfer In Turbulent Fluid Flows , 1985 .

[28]  L. Sirovich,et al.  Modeling a no-slip flow boundary with an external force field , 1993 .

[29]  T. Kunugi,et al.  Fundamental study of heat transfer and flow situation around a spacer (in the case of a cylindrical rod as a spacer) , 1988 .

[30]  Minking K. Chyu,et al.  Local Heat/Mass Transfer Distributions on the Surface of a Wall-Mounted Cube , 1991 .

[31]  Minking K. Chyu,et al.  Measurement of local mass transfer on a surface in the region of the base of a protruding cylinder with a computer-controlled data acquisition system , 1985 .

[32]  Terukazu Ota,et al.  Numerical Simulation of Three Dimensional Unsteady Flow and Heat Transfer around a Surface-Mounted Hexahedron in a Channel , 1998 .

[33]  P. Eibeck,et al.  The Influence of a Horseshoe Vortex on Local Convective Heat Transfer , 1990 .

[34]  Sanjoy Banerjee,et al.  NUMERICAL SIMULATION OF PARTICLE INTERACTIONS WITH WALL TURBULENCE , 1996 .

[35]  Ephraim M Sparrow,et al.  Convective heat transfer response to height differences in an array of block-like electronic components , 1984 .

[36]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .