In the current investigation, we performed large eddy simulation (LES) of turbulent heat transfer in circular ribbed-pipe flow in order to study the effects of periodically mounted square ribs on heat transfer characteristics. The ribs were implemented on a cylindrical coordinate system by using an immersed boundary method, and dynamic subgrid-scale models were used to model Reynolds stresses and turbulent heat flux terms. A constant and uniform wall heat flux was imposed on all the solid boundaries. The Reynolds number (Re) based on the bulk velocity and pipe diameter is 24,000, and Prandtl number is fixed at Pr = 0.71. The blockage ratio (BR) based on the pipe diameter and rib height is fixed with 0.0625, while the pitch ratio based on the rib interval and rib height is varied with 2, 4, 6, 8, 10, and 18. Since the pitch ratio is the key parameter that can change flow topology, we focus on its effects on the characteristics of turbulent heat transfer. Mean flow and temperature fields are presented in the form of streamlines and contours. How the surface roughness, manifested by the wall-mounted ribs, affects the mean streamwise-velocity profile was investigated by comparing the roughness function. Local heat transfer distributions between two neighboring ribs were obtained for the pitch ratios under consideration. The flow structures related to heat transfer enhancement were identified. Friction factors and mean heat transfer enhancement factors were calculated from the mean flow and temperature fields, respectively. Furthermore, the friction and heat-transfer correlations currently available in the literature for turbulent pipe flow with surface roughness were revisited and evaluated with the LES data. A simple Nusselt number correlation is also proposed for turbulent heat transfer in ribbed pipe flow.
Issue Section:
Heat Transfer Enhancement
References
1.
Perry
, A. E.
, and Joubert
, P. N.
, 1963
, “Rough-Wall Boundary Layers in Adverse Pressure Gradients
,” J. Fluid Mech.
, 17
(2
), pp. 193
–211
.2.
Perry
, A. E.
, Schofield
, W. H.
, and Joubert
, P. N.
, 1969
, “Rough Wall Turbulent Boundary Layers
,” J. Fluid Mech.
, 37
(2
), pp. 383
–413
.3.
Han
, J. C.
, 1984
, “Heat Transfer and Friction in Channels With Two Opposite Rib-Roughened Walls
,” ASME J. Heat Transfer
, 106
(4
), pp. 774
–781
.4.
Stukel
, J. J.
, Hopke
, P. K.
, and Nourmohammadi
, K.
, 1984
, “Turbulent Air Flow Over Rough Surfaces: Mean Flow Parameters
,” ASME J. Fluids Eng.
, 106
(4
), pp. 405
–409
.5.
Nourmohammadi
, K.
, Hopke
, P. K.
, and Stukel
, J. J.
, 1985
, “Turbulent Air Flow Over Rough Surfaces: II. Turbulent Flow Parameters
,” ASME J. Fluids Eng.
, 107
(1
), pp. 55
–60
.6.
Han
, J. C.
, and Park
, J. S.
, 1988
, “Developing Heat Transfer in Rectangular Channels With Rib Turbulators
,” Int. J. Heat Mass Transfer
, 31
(1
), pp. 183
–195
.7.
Liou
, T.-M.
, Hwang
, J.-J.
, and Chen
, S.-H.
, 1993
, “Simulation and Measurement of Enhanced Turbulent Heat Transfer in a Channel With Periodic Ribs on One Principal Wall
,” Int. J. Heat Mass Transfer
, 36
(2
), pp. 507
–517
.8.
Okamoto
, S.
, Seo
, S.
, Nakaso
, K.
, and Kawai
, I.
, 1993
, “Turbulent Shear Flow and Heat Transfer Over the Repeated Two-Dimensional Square Ribs on Ground Plane
,” ASME J. Fluids Eng.
, 115
(4
), pp. 631
–637
.9.
Liou
, T.-M.
, and Hwang
, J.-J.
, 1993
, “Effect of Ridge Shapes on Turbulent Heat Transfer and Friction in a Rectangular Channel
,” Int. J. Heat Mass Transfer
, 36
(4
), pp. 931
–940
.10.
Liou
, T.-M.
, Yang
, C.-P.
, and Lee
, H.-L.
, 1997
, “LDV Measurements of Spatially Periodic Flows Over a Detached Solid-Rib Array
,” ASME J. Fluids Eng.
, 119
(2
), pp. 383
–389
.11.
Rau
, G.
, Cakan
, M.
, Moeller
, D.
, and Arts
, T.
, 1998
, “The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel
,” ASME J. Turbomach.
, 120
(2
), pp. 368
–375
.12.
Murata
, A.
, and Mochizuki
, S.
, 2000
, “Large Eddy Simulation With a Dynamic Subgrid-Scale Model of Turbulent Heat Transfer in an Orthogonally Rotating Rectangular Duct With Transverse Rib Turbulators
,” Int. J. Heat Mass Transfer
, 43
(7
), pp. 1243
–1259
.13.
Iacovides
, H.
, 1998
, “Computation of Flow and Heat Transfer Through Rotating Ribbed Passages
,” Int. J. Heat Fluid Flow
, 19
(5
), pp. 393
–400
.14.
Iacovides
, H.
, 1999
, “The Computation of Turbulent Flow Through Stationary and Rotating U-Bends With Rib-Roughned Surfaces
,” Int. J. Numer. Methods Fluids
, 29
(7
), pp. 865
–876
.15.
Iacovides
, H.
, Jackson
, D. C.
, Kelemenis
, G.
, Launder
, B. E.
, and Yuan
, Y.-M.
, 2001
, “Flow and Heat Transfer in a Rotating U-Bend With 45 deg Ribs
,” Int. J. Heat Fluid Flow
, 22
(3
), pp. 308
–314
.16.
Ahn
, J.
, Choi
, H.
, and Lee
, J. S.
, 2005
, “Large Eddy Simulation of Flow and Heat Transfer in a Channel Roughened by Square or Semicircle Ribs
,” ASME J. Turbomach.
, 127
(2
), pp. 263
–269
.17.
Tafti
, D. K.
, 2005
, “Evaluating the Role of Subgrid Stress Modeling in a Ribbed Duct for the Internal Cooling of Turbine Blades
,” Int. J. Heat Fluid Flow
, 26
(1
), pp. 92
–104
.18.
Sewall
, E. A.
, Tafti
, D. K.
, Graham
, A. B.
, and Thole
, K. A.
, 2006
, “Experimental Validation of Large Eddy Simulations of Flow and Heat Transfer in a Stationary Ribbed Duct
,” Int. J. Heat Fluid Flow
, 27
(2
), pp. 243
–258
.19.
Nunner
, W.
, 1959
, “Heat Transfer and Pressure Drop in Rough Pipes
,” VDI-Forsch.
, 22
, 455B
.20.
Gargaud
, J.
, and Paumard
, G.
, 1964
, “Amélioration du Transfert de Chaleur par l'emploi de Surfaces Corruguées
,” Report No. CEA-R 2464.21.
Molloy
, J.
, 1967
, “Rough Tube Friction Factors and Heat Transfer Coefficients in Laminar and Transition Flow
,” Atomic Energy Research Establishment, Harwell, England, Report No. AERE-R5415.22.
Webb
, R. L.
, Eckert
, E. R. G.
, and Goldstein
, R. J.
, 1971
, “Heat Transfer and Friction in Tubes With Repeated-Rib Roughness
,” Int. J. Heat Mass Transfer
, 14
(4
), pp. 601
–617
.23.
Baughn
, J. W.
, and Roby
, J. L.
, 1992
, “Enhanced Turbulent Heat Transfer in Circular Ducts With Transverse Ribs
,” ASME 28th National Heat Transfer Conference
, HTD, San Diego, CA, Vol. 202
, pp. 9
–15
.24.
Iacovides
, H.
, and Raisee
, M.
, 2001
, “Computation of Flow and Heat Transfer in Two-Dimensional Rib-Roughened Passages, Using Low-Reynolds-Number Turbulence Models
,” Int. J. Numer. Methods Heat Fluid Flow
, 11
(2
), pp. 138
–155
.25.
Raisee
, M.
, Noursadeghi
, A.
, and Iacovides
, H.
, 2004
, “Application of a Non-Linear k–ε Model in Prediction of Convective Heat Transfer Through Ribbed Passages
,” Int. J. Numer. Methods Heat Fluid Flow
, 14
(3
), pp. 285
–304
.26.
Kim
, J.
, Kim
, D.
, and Choi
, H.
, 2001
, “An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries
,” J. Comput. Phys.
, 171
(1
), pp. 132
–150
.27.
Kim
, J.
, and Choi
, H.
, 2004
, “An Immersed-Boundary Finite-Volume Method for Simulation of Heat Transfer in Complex Geometries
,” KSME Int. J.
, 18
(6
), pp. 1026
–1035
.28.
Germano
, M.
, Piomelli
, U.
, Moin
, P.
, and Cabot
, W. H.
, 1991
, “A Dynamic Subgrid-Scale Eddy Viscosity Model
,” Phys. Fluids A
, 3
(7
), pp. 1760
–1765
.29.
Cabot
, W. H.
, and Moin
, P.
, 1993
, “Large Eddy Simulation of Scalar Transport With the Dynamic Subgrid-Scale Model
,” Large Eddy Simulation of Complex Engineering and Geophysical Flows
, Cambridge University Press
, Cambridge, UK
, Chap. 7.30.
Akselvoll
, K.
, and Moin
, P.
, 1995
, “Large Eddy Simulation of Turbulent Confined Coannualar Jets and Turbulent Flow Over a Backward Facing Step
,” Department of Mechanical Engineering, Stanford University, Technical Report No. TF-63.31.
Lilly
, D. K.
, 1992
, “A Proposed Modification of the Germano Subgrid-Scale Closure Method
,” Phys. Fluids A
, 4
(3
), pp. 633
–635
.32.
Akselvoll
, K.
, and Moin
, P.
, 1996
, “An Efficient Method for Temporal Integration of the Navier–Stokes Equations in Confined Axisymmetric Geometries
,” J. Comput. Phys.
, 125
(2
), pp. 454
–463
.33.
Kim
, J.
, and Moin
, P.
, 1985
, “Application of a Fractional-Step Method to Incompressible Navier–Stokes Equations
,” J. Comput. Phys.
, 59
(2
), pp. 308
–323
.34.
Ahn
, J.
, Choi
, H.
, and Lee
, J. S.
, 2007
, “Large Eddy Simulation of Flow and Heat Transfer in a Rotating Ribbed Channel
,” Int. J. Heat Mass Transfer
, 50
(25–26
), pp. 4937
–4947
.35.
Ahn
, J.
, and Lee
, J. S.
, 2010
, “Large Eddy Simulation of Flow and Heat Transfer in a Channel With a Detached Rib Array
,” Int. J. Heat Mass Transfer
, 53
(1–3
), pp. 445
–452
.36.
Krogstad
, P.-Å.
, and Antonia
, R. A.
, 1999
, “Surface Roughness Effects in Turbulent Boundary Layers
,” Exp. Fluids
, 27
(5
), pp. 450
–460
.37.
Lee
, J. H.
, Lee
, S.-H.
, Kim
, K.
, and Sung
, H. J.
, 2009
, “Structure of the Turbulent Boundary Layer Over a Rod-Roughened Wall
,” Int. J., Heat Fluid Flow
, 30
(6
), pp. 1087
–1098
.38.
Moore
, W. F.
, 1951
, “An Experimental Investigation of the Boundary Layer Development Along a Rough Surface
,” Ph.D. dissertation, State University of Iowa, Ames, IA.39.
Incropera
, F. P.
, Dewitt
, D. P.
, Bergman
, T. L.
, Lavine
, A. S.
, 2007
, Fundamental of Heat and Mass Transfer
, 6th ed., Wiley
, New York
.40.
Cho
, H. H.
, Wu
, S. L.
, and Kim
, W. S.
, 1998
, “A Study on Heat Transfer Characteristics in a Rib-Roughened Rectangular Duct
,” 11th International Symposium on Transport Phenomena
, Hsinchu, Taiwan, pp. 364
–369
.41.
Jeong
, J.
, and Hussain
, F.
, 1995
, “On the Identification of a Vortex
,” J. Fluid Mech.
, 285
, pp. 69
–94
.42.
Nikuradse
, J.
, 1965
, “Laws of Flow in Rough Pipes
,” Report No. NACA TM-1292.43.
Dipprey
, D. F.
, and Sabersky
, R. H.
, 1963
, “Heat and Momentum Transfer in Smooth and Rough Tubes at Various Prandtl Numbers
,” Int. J. Heat Mass Transfer
, 6
(5
), pp. 329
–353
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