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Research Papers: Flows in Complex Systems

Numerical Simulation of Drag Reduction in Microgrooved Substrates Using Lattice-Boltzmann Method

[+] Author and Article Information
H. Asadzadeh

Center of Excellence in Energy Conversion
(CEEC),
School of Mechanical Engineering,
Sharif University of Technology,
Azadi Avenue,
P.O. Box 11365-9567,
Tehran 11365-9567, Iran
e-mail: homayoun.sut@gmail.com

A. Moosavi

Center of Excellence in Energy Conversion
(CEEC),
School of Mechanical Engineering,
Sharif University of Technology,
Azadi Avenue,
P.O. Box 11365-9567
Tehran 11365-9567, Iran
e-mail: Moosavi@sharif.edu

A. Etemadi

Center of Excellence in Energy Conversion
(CEEC),
School of Mechanical Engineering,
Sharif University of Technology,
Azadi Avenue,
P.O. Box 11365-9567,
Tehran 11365-9567, Iran
e-mail: armin.e90@gmail.com

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 28, 2018; final manuscript received February 8, 2019; published online April 4, 2019. Assoc. Editor: Moran Wang.

J. Fluids Eng 141(7), 071111 (Apr 04, 2019) (18 pages) Paper No: FE-18-1650; doi: 10.1115/1.4042888 History: Received September 28, 2018; Revised February 08, 2019

We study drag reduction of a uniform flow over a flat surface due to a series of rectangular microgrooves created on the surface. The results reveal that making grooves on the surface usually leads to the generation of secondary vortices inside the grooves that, in turn, decreases the friction drag force and increases the pressure drag force. By increasing the thickness of the grooves to the thickness of the obstacle, the pressure drag increases due to the enhancement of the generated vortices and the occurrence of separation phenomenon and the friction drag reduces due to a decrease of the velocity gradient on the surface. In addition, by increasing the grooves depth ratio, the pressure drag coefficient decreases and the friction drag coefficient increases. However, the impact of the pressure drag coefficient is higher than that of the friction drag coefficient. From a specific point, increasing the groove depth ratio does not effect on decreasing the total pressure drag of the plate. Therefore, creating the grooves in flat surfaces would reduce the total drag coefficient of the plate if the thickness of the grooves does not exceed a specific size and the depth of the grooves is chosen to be sufficiently large. The lattice-Boltzmann method (LBM) is used and the optimal reduction of the drag coefficient is calculated. It is found that for the width ratio equal to 0.19 and the groove depth ratio equal to 0.2548, about 7% decrease is achieved for the average total drag.

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References

Floryan, J. M. , 1997, “ Stability of Wall-Bounded Shear Layers in the Presence of Simulated Distributed Surface Roughness,” Fluid Mech., 335(1), pp. 29–55. [CrossRef]
Degroot, C. T. , Wang, C. , and Floryan, J. M. , 2016, “ Drag Reduction Due to Streamwise Grooves in Turbulent Channel Flow,” ASME J. Fluids Eng., 138(12), p. 121201.
White, F. , 2003, Fluid Mechanics, 5th ed., McGraw-Hill, Boston, MA.
Bechert, D. W. , Bruse, M. , Hage, W. , van der Hoeven, J. G. T. , and Hoppe, G. , 1997, “ Experiments on Drag-Reducing Surfaces and Their Optimization With an Adjustable Geometry,” J. Fluid Mech., 338(5), pp. 59–87. [CrossRef]
Bechert, D. W. , Hoppe, G. , Van der Hoeven, J. G. T. , and Makris, R. , 1992, “ The Berlin Oil Channel for Drag Reduction Research,” Exp. Fluids, 12(4–5), pp. 251–60. [CrossRef]
Saravi, S. S. , and Cheng, K. A. , 2013, “ Review of Drag Reduction by Riblets and Micro-Textures in the Turbulent Boundary Layers,” Eur. Sci. J., 9(33), pp. 62–81. https://eujournal.org/index.php/esj/article/view/2104
Bechert, D. W. , Bruse, M. , and Hage, W. , 2000, “ Experiments With Three-Dimensional Riblets as an Idealized Model of Shark Skin,” Exp. Fluids, 28(5), pp. 403–412. [CrossRef]
Fink, V. , Guttler, A. , and Frohnapfel, B. , 2015, “ Experimental and Numerical Investigation of Riblets in a Fully Developed Turbulent Channel Flow,” European Drag Reduction and Flow Control Meeting, Cambridge, UK, Mar. 23–26.
Friedmann, E. , 2005, “ Optimal Shape Design and Its Application to Microstructures ,” Sixth World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro, Brazil, May 30–June 3.
Oefner, J. , and Lauder, G. V. , 2012, “ The Hydrodynamic Function of Shark Skin and Two Biomimetic Applications,” J. Exp. Biol., 21(5), pp. 785–795. [CrossRef]
Zhang, D. , Luo, Y. , Li, X. , and Chen, H. , 2011, “ Numerical Simulation and Experimental Study of Drag-Reducing Surface of a Real Shark Skin,” J. Hydrodyn, 23(2), pp. 204–211. [CrossRef]
Chen, H. , Rao, F. , Shang, X. , Zhang, D. , and Hagiwara, I. , 2013, “ Biomimetic Drag Reduction Study on Herringbone Riblets of Bird Feather,” J. Bionic Eng., 10(3), pp. 341–349. [CrossRef]
Cui, J. , and Fu, Y. , 2012, “ A Numerical Study on Pressure Drop in Microchannel Flow With Different Bionic Micro-Grooved Surfaces,” J. Bionic Eng., 9(1), pp. 99–109. [CrossRef]
Zhao, D. Y. , Huang, Z. P. , Wang, M. J. , Wang, T. , and Jin, Y. , “ Vacuum Casting Replication of Micro-Riblets on Shark Skin for Drag-Reducing Applications,” J. Mater. Process. Technol., 212(1), pp. 198–202. [CrossRef]
Stenzel, V. , Wilke, Y. , and Hage, W. , 2011, “ Drag-Reducing Paints for the Reduction of Fuel Consumption in Aviation and Shipping,” Prog. Org. Coat., 70(4), pp. 224–229. [CrossRef]
Lang, A. W. , and Johnson, T. J. , 2010, “ Drag Reduction Over 2D Square Embedded Cavities in Couette Flow,” Mech. Res. Comm., 37(4), pp. 432–435. [CrossRef]
Choi, K. S. , 1998, “ Near-Wall Structure of a Turbulent Boundary Layer With Riblets,” J. Fluid Mech, 208(1), pp. 417–458.
Tian, L. M. , Ren, L. Q. , Liu, Q. P. , Han Zhi, W. , and Jiang, X. , 2007, “ The Mechanism of Drag Reduction Around Bodies of Revolution Using Bionic Non-Smooth Surfaces,” Bionic Eng., 4(2), pp. 109–116. [CrossRef]
Viswanath, P. R. , 2002, “ Aircraft Viscous Drag Reduction Using Riblets,” Prog. Aerosp. Sci., 38(6–7), pp. 571–600. [CrossRef]
Suzuki, Y. , and Kasagi, N. , 1994, “ Turbulent Drag Reduction Mechanism Above a Rib Let Surface,” AIAA J., 32(9), pp. 1781–1790. [CrossRef]
Daschiel, G. , Peric, M. , Jovanovic, J. , and Delgado, A. , 2013, “ The Holy Grail of Microfluidics: Sub-Laminar Drag by Layout of Periodically Embedded Microgrooves,” Microfluid. Nanofluid., 15(5), pp. 675–687. [CrossRef]
Mohammadi, A. , and Floryan, J. M. , “ Groove Optimization for Drag Reduction,” Phys. Fluids, 25(11), pp. 113–601.
Moussaoui, M. , Jami, M. , Mezrhab, A. , and Naji, H. J. , 2009, “ Lattice Boltzmann Simulation of Convective Heat Transfer From Heated Blocks in a Horizontal Channel,” Int. J. Comput. Methods, 56(5), pp. 422–443.
Mazloomi, A. , and Moosavi, A. , 2013, “ Thin Liquid Film Flow Over Substrates With Two Topographical Features,” Phys. Rev. E, 87(2), pp. 022–409. [CrossRef]
Mazloomi, A. , Moosavi, A. , and Esmaili, E. , 2013, “ Gravity-Driven Thin Liquid Films Over Topographical Substrates,” Eur. Phys. J. E, 36(6), pp. 1292–8941. [CrossRef]
Murdock, J. , Ibrahim, A. , and Yang, S. , 2017, “ An Efficient Method of Generating and Characterizing Filter Substrates for Lattice Boltzmann Analysis,” ASME J. Fluids Eng., 140(4), p. 041203.
Merdasi, A. , Ebrahimi, S. , Moosavi, A. , Shafii, M. B. , and Kowsary, F. , 2018, “ Numerical Simulation of Collision Between Two Droplets in the T-Shaped Microchannel With Lattice Boltzmann Method,” AIP Adv., 6(11), pp. 115–307.
Merdasi, A. , Ebrahimi, S. , Moosavi, A. , Shafii, M. B. , and Kowsary, F. , 2018, “ Simulation of a Falling Droplet in a Vertical Channel With Rectangular Obstacles,” Eur. J. Fluid Mech. B/Fluids, 118(2), pp. 108–117. [CrossRef]
Bhatnagar, P. L. , Cross, E. P. , and Krook, M. , 1954, “ A Model for Collision Process in Gases,” Phys. Rev., 94(3), pp. 511–525. [CrossRef]
Sukop, M. C. , and Throne, D. , 2006, Lattice Boltzmann Modeling-An Introduction for Geoscientists and Engineers, Springer, Berlin.
Chapman, S. , and Cowling, T. G. , 1970, The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, Cambridge, UK.
Wolf-Gladrow, D. , 2000, Lattice-Gas Cellular Automata and Lattice Boltzmann Models-An Introduction, Springer, Berlin.
He, X. , and Luo, L. S. , 1997, “ A Priori Derivation of the Lattice Boltzmann Equation,” Phys. Rev. E, 55(6), pp. R6333–R6336. https://journals.aps.org/pre/abstract/10.1103/PhysRevE.55.R6333
Lallemand, P. , and Luo, L. S. , 1996, “ Theory of the Lattice Boltzmann Method: Dispersion, Dissipation, Isotropy, Galilean Invariance, and Stability,” Phys. Rev. E, 61(6), pp. 6546–6562. [CrossRef]
Succi, S. , 2001, The Lattice Boltzmann Equation for Fluid Mechanics and Beyond Oxford, Clarendon, UK.
Zou, Q. , and He, X. , 1997, “ On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model,” Phys. Fluids, 9(6), pp. 1591–1598. [CrossRef]
Mohamad, A. A. , 2011, “ Lattice Boltzmann Method, Fundamentals and Engineering,” Applications With Computer Codes, Springer, Berlin.
He, X. , and Luo, L. S. , 1997, “ Theory of the Lattice Boltzmann Method: From the Boltzmann Equation to the Lattice Boltzmann Equation,” Phys. Rev. E, 56(6), pp. 6811–6817. [CrossRef]
Varnik, F. , Dorner, D. , and Raabe, D. , 2007, “ Roughness-Induced Flow Instability: A Lattice Boltzmann Study,” J. Fluid Mech., 573(4), pp. 191–210. [CrossRef]
Zhu, L. , Tretheway, D. , Petzold, L. , and Meinhart, C. , 2005, “ Simulation of Fluid Slip At3d Hydrophobic Microchannel Walls by the Lattice Boltzmann Method,” J. Comput. Phys., 202(1), pp. 181–195. [CrossRef]
Ghia, U. , Ghia, K. N. , and Shin, C. T. , 1982, “ High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method,” J. Comput. Phys., 48(3), pp. 387–411. [CrossRef]
Chen, S. , and Doolen, G. D. , 1998, “ Lattice Boltzmann Method for Fluid Flows,” Annu. Rev. Fluid Mech., 30(1), pp. 329–364. [CrossRef]

Figures

Grahic Jump Location
Fig. 2

Lattice arrangements for 2D problems, D2Q9

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Fig. 1

(a) The schematic of the free flow passes from a semi-infinite flat surface with depth, length, and width equal to H, Lx and Ly, respectively and (b) The schematic of flow passing over a semi-infinite surface with rectangular microgrooves which the thickness of obstacle is to and the grooves thickness is tg

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Fig. 3

The boundary conditions applied in the system. At the inlet of the plate the Zou–He velocity boundary condition and at the outlet of the plate the open boundary condition was applied. Also, for the solid surfaces and the barriers along the path, the full bounce-back boundary condition was considered, and for the top boundary, the slip boundary condition was utilized.

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Fig. 6

The horizontal velocity contour for the lid-driven cavity problem using the lattice-Boltzmann method for Reynolds number equal to100: (a) the horizontal velocity contour and (b) the vertical velocity contour

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Fig. 7

A comparison between the present results and those of Ghia et al. [41] for (a) horizontal velocity and (b) vertical velocity in the lid-driven cavity problem

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Fig. 5

The full slip boundary condition scheme for the northern wall, with its unknown distribution function to determine the boundary condition, in this case, because of there is no momentum transfer perpendicular to the wall; as a result, the velocity gradient is also zero and therefore f4=f2, f7=f6, and f8=f5

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Fig. 4

The full bounce-back scheme, the outward-pointing arrows demonstrate the known distribution functions and the inward-pointing arrows are the unknown distribution functions. The unknown distribution functions are exactly equal to the known distribution functions in the direction of their symmetry toward the same node.

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Fig. 8

(a) The dimensionless thickness of the boundary layer over a flat plate as a function of the Reynolds number and comparing the Boltzmann results with the Blasius solution [3] and (b) and (c) the output of the horizontal and vertical velocity contour for flowing around a flat plate using the lattice-Boltzmann method

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Fig. 13

The streamlines inside the grooves for different values of tg/to: (a) 0.19, (b) 0.515, (c) 4, and (d) 9

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Fig. 9

(a) The friction drag, the pressure drag and the total drag coefficients for flow over a grooved substrate as a function of the grooves thickness to the obstacle thickness ratio tg/to for output Reynolds number of 2850 and constant ratio of H/Ly = 0.1592 and (b) the percentage of the total drag variation on a grooved surface from the similar smooth surface based on the grooves thickness to obstacle thickness ratio (tg/to) for output Reynolds number of 2850 and constant ratio of (H/Ly) = 0.1592

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Fig. 10

The horizontal velocity distribution for free flowing over a microgrooved surface for different  tg/to: (a) 0.19, (b) 0.151, (c) 4, and (d) 9

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Fig. 11

The vertical velocity distribution for free flowing over a microgrooved surface for different tg/to of (a) 0.19, (b) 0.151, (c) 4, and (d) 9

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Fig. 12

The pressure distribution for flow over a microgrooved surface with tg/to ratio of (a) 0.19, (b) 0.151, (c) 4, and (d) 9

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Fig. 16

The distribution of the pressure for a flow passing over a microgrooved surface for tg/to = 0.19, Reynolds number of 2850 and different values of H/Ly: (a) 0.318, (b) 0.0637, (c) 0.1911, and (d) 0.2548

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Fig. 17

The streamlines for a flow passing over a microgrooved surface with tg/to = 0.19 and H/Ly: (a) 0.0318, (b) 0.0637, (c) 0.1911, and (d) 0.02548 for the Reynolds number of 2850

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Fig. 14

(a) The changes in the mean friction, the pressure and the total drag coefficient as a function of (H/Ly) for output Reynolds number of 2850 and (tg/to) = 0.19 and (b) the percentage of total drag variation on a grooved surface compared to the similar smooth surface as a function of H/Ly for the Reynolds number of 2850 and a constant value of tg/to = 0.19

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Fig. 15

The distribution of horizontal velocity for a flow passing over a microgrooved surface for tg/to = 0.19, output Reynolds number of 2850 and different values of H/Ly: (a) 0.0637, (b) 0.0955, (c) 0.1911, and (d) 0.02548

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