Numerical Simulation of Integral Roughness, Laminar Flow in Tubes with Roughness and Reynolds Analogy for Heat and Momentum Transfer

  • Sujoy Kumar Saha
  • Hrishiraj Ranjan
  • Madhu Sruthi Emani
  • Anand Kumar Bharti
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


The study on numerical simulation of integral roughness, laminar flow in tubes with roughness and Reynolds analogy for heat and momentum transfer has been dealt in this chapter. The performance of 2D and 3D roughness for heat transfer augmentation has been shown. The general observations of rib performance have been presented.


Integral roughness 2D and 3D roughness Reynolds analogy Blockage factor 


  1. Arman B, Rabas TJ (1991) Prediction of the pressure drop in transverse, repeated-rib tubes with numerical modeling. In: Rabas TJ, Chenoweth JM (eds) Fouling and enhancement interactions, ASME HTD, vol 164. ASME, New York, pp 93–99Google Scholar
  2. Arman B, Rabas TJ (1992) Disruption shape effects on the performance of enhanced tubes with the separation and reattachment mechanism. In: Pate MB, Jensen MK (eds) Enhanced heat transfer, ASME Symp. HTD, vol 202. ASME, New York, pp 67–76Google Scholar
  3. Ajeel RK, Salim WI, Hasnan K (2019) Influences of geometrical parameters on the heat transfer characteristics through symmetry trapezoidal-corrugated channel using SiO2-water nanofluid. Int Commun Heat Mass Transf 101:1–9CrossRefGoogle Scholar
  4. Al-Qahtani M, Chen HC, Han JC, Jang YJ (2002) Prediction of flow and heat transfer in rotating two-pass rectangular channels with 45° rib turbulators. ASME J Turbomach 124(2):242–250CrossRefGoogle Scholar
  5. Baughn JW, Roby J (1992) Enhanced turbulent heat transfer in circular ducts with transverse ribs. In: Enhanced heat transfer, ASME HTD, vol 202. ASME, New York, pp 9–15Google Scholar
  6. Becker BR, Rivir RB (1989) Computation of the flow field and heat transfer in a rectangular passage with a turbulator, ASME Paper 89-GT-30. ASME, New YorkGoogle Scholar
  7. Benodekar RW, Goddard AJH, Gosman AD, Issa RI (1985) Numerical prediction of turbulent flow over surface-mounted ribs. AIAA J 23:359–366zbMATHCrossRefGoogle Scholar
  8. Berger FP, Han K-F (1979) Local mass/heat transfer distribution on surfaces roughened with small square ribs. Int J Heat Mass Transf 22:1645–1656CrossRefGoogle Scholar
  9. Chakroun W, Taylor RP (1992) The effects of modestly strong acceleration on heat transfer in the turbulent rough-wall boundary layer. In: Pate MB, Jensen MK (eds) Enhanced heat transfer, SME Symp. HTD, vol 202. ASME, New York, pp 57–66Google Scholar
  10. Chen HC, Patel VC (1988) Near-wall turbulence models for complex flows including separation. AIAA J 26:641–648CrossRefGoogle Scholar
  11. Chaube A, Sahoo PK, Solanki SC (2006) Effect of roughness shape on heat transfer and flow friction characteristics of solar air heater with roughened absorber plate. WIT Trans Eng Sci 53:43–51Google Scholar
  12. Cope WG (1945) The friction and heat transmission coefficients of rough pipes. Proc Inst Mech Eng 145:99–105CrossRefGoogle Scholar
  13. Dipprey DF, Sabersky RH (1963) Heat and momentum transfer in smooth and rough tubes at various Prandtl numbers. Int J Heat Mass Transf 6:329–353CrossRefGoogle Scholar
  14. Durst F, Ponti M, Obi S (1988) Experimental and computational investigation of the two dimensional channel flow over two fences in tandem. J Fluids Eng 110:48–54CrossRefGoogle Scholar
  15. Ekkad SV, Han JC (1997) Detailed heat transfer distributions in two-pass square channels with rib turbulators. Int J Heat Mass Transf 40:2525–2537CrossRefGoogle Scholar
  16. Esen EB, Obot NT, Rabas TJ (1994a) Enhancement: part I. Heat transfer and pressure drop results for air flow through passages with spirally-shaped roughness. J Enhanc Heat Transf 1:145–156CrossRefGoogle Scholar
  17. Esen EB, Obot NT, Rabas TJ (1994b) Enhancement: part II. The role of transition to turbulent flow. J Enhanc Heat Transf 1:157–167CrossRefGoogle Scholar
  18. Faramarzi J, Logan E (1991) Reattachment length behind single roughness element in turbulent pipe flow. J Fluids Eng 113:712–714CrossRefGoogle Scholar
  19. Farrell P, Wert K, Webb RL (1991) Heat transfer and friction characteristics of turbulator radiator tubes, SAE Technical Paper 910917. SAE International Congress, Detroit, MIGoogle Scholar
  20. Fodemski TR, Collins MW (1988) Flow and heat transfer simulations for two- and three dimensional smooth and ribbed channels. In: Proceedings of the 2nd U.K national conference on heat transfer, C138/88, University of Stratchlyde, Glasgow, UKGoogle Scholar
  21. Fujita H, Hajime Y, Nagata C (1986) The numerical prediction of fully developed turbulent flow and heat transfer in a square duct with two roughened facing walls. In: Proceedings of the 8th international heat transfer conference, vol 3, pp 919–924Google Scholar
  22. Gowen RA, Smith JW (1968) Turbulent heat transfer from smooth and rough surfaces. Int J Heat Mass Transf 11:1657–1673CrossRefGoogle Scholar
  23. Han JC (1988) Heat transfer and friction characteristics in rectangular channels with rib turbulators. ASME J Heat Transf 110(2):321–328CrossRefGoogle Scholar
  24. Han JC, Park JS (1988) Developing heat transfer in rectangle channels with rib turbulators. Int J Heat Mass Transf 31(1):183–195MathSciNetCrossRefGoogle Scholar
  25. Han JC, Zhang P (1991) Effect of rib angle orientation on local mass transfer distribution in a three-pass rib-roughened channel. ASME J Turbomach 113(1):123–130CrossRefGoogle Scholar
  26. Han JC, Glicksman LR, Rohsenow WM (1978) An investigation of heat transfer and friction for a rib-roughened surfaces. Int J Heat Mass Transf 21(8):1143–1156CrossRefGoogle Scholar
  27. Han JC, Park JS, Lei CK (1985) Heat transfer enhancement in channels with turbulence promoters. ASME J Eng Gas Turbine Power 107(3):628–635CrossRefGoogle Scholar
  28. Han JC, Ou S, Park JS, Lei CK (1989) Augmented heat transfer in rectangular channels of narrow aspect ratios with rib turbulators. Int J Heat Mass Transf 32(9):1619–1630CrossRefGoogle Scholar
  29. Hijikata K, Mori Y (1987) Fundamental study of heat transfer augmentation of tube inside surface by cascade smooth turbulence promoters and its application to energy conversion. Wiinne Stoffiibertrag 21:115–124CrossRefGoogle Scholar
  30. Hijikata K, Ishiguro H, Mori Y (1987) Heat transfer augmentation in a pipe flow with smooth cascade turbulence promoters and its application to energy conversion. In: Yang WJ, Mori Y (eds) Heat transfer in high technology and power engineering. Hemisphere, New York, pp 368–397Google Scholar
  31. Hinze JO (1975) Turbulence, 2nd edn. McGraw-Hill, New YorkGoogle Scholar
  32. Hung YH, Liou TM, Syang YC (1987) Heat transfer enhancement of turbulent flow in pipes with an external circular rib. In: Jensen MK, Carey VP (eds) Advances in enhanced heat transfer-1987, ASME Symp. HTD, vol 68. ASME, New York, pp 55–64Google Scholar
  33. Iacovides H, Raisee M (1999) Recent progress in the computation of flow and heat transfer in internal cooling passages of turbine blades. Int J Heat Fluid Flow 20:320–328CrossRefGoogle Scholar
  34. James CA, Hodge BK, Taylor RP (1994) A validated procedure for the prediction of fully developed Nusselt numbers and friction factors in tubes with two-dimensional rib roughness. J Enhanc Heat Transf 1:287–304CrossRefGoogle Scholar
  35. Jia R, Saidi A, Sunden B (2002) Heat transfer enhancement in square ducts with V-shaped ribs of various angles. Proc ASME Turbo Expo 3:469–476Google Scholar
  36. Kanoun M, Baccar M, Mseddi M (2011) Computational analysis of flow and heat transfer in passages with attached and detached rib arrays. J Enhanc Heat Transf 18(2):167–176CrossRefGoogle Scholar
  37. Kays WM, Crawford ME (1980) Convective heat transfer. McGraw-Hill, New York, p 174 and 188Google Scholar
  38. Kiml R, Mochizuki S, Murata A (2003) Effects of rib height on heat transfer performance inside a high aspect ratio channel with inclined ribs. J Enhanc Heat Transf 10(4):431–443CrossRefGoogle Scholar
  39. Kuwahara H, Takahashi K, Yanagida T, Nakayama W, Hzgimoto S, Oizumi K (1989) Method of producing a heat transfer tube for single-phase flow. U.S. patent 4,794,775, January 3Google Scholar
  40. Lee YO, Ahn J, Lee JS (2008) Effects of dimple depth and Reynolds number on the turbulent heat transfer in a dimpled channel. Prog Comput Fluid Dyn 8:432–438zbMATHCrossRefGoogle Scholar
  41. Lee YO, Ahn J, Kim J, Lee JS (2012) Effect of dimple arrangements on the turbulent heat transfer in a dimpled channel. J Enhanc Heat Transf 19(4):359–367CrossRefGoogle Scholar
  42. Li R, He YL, Lei YG, Tao YB, Chu P (2009) A numerical study on fluid flow and heat transfer performance of internally roughened tubes with dimples. J Enhanc Heat Transf 16(3):267–285CrossRefGoogle Scholar
  43. Li S, Ghorbani-Tari Z, Xie G, Sundén B (2013) An experimental and numerical study of flow and heat transfer in ribbed channels with large rib pitch-to-height ratios. J Enhanc Heat Transf 20(4):305–319CrossRefGoogle Scholar
  44. Ligrani PM (2013) Heat transfer augmentation technologies for internal cooling of turbine components of gas turbine engines. Int J Rotating Mach 2013. Article ID 275653Google Scholar
  45. Ligrani PM, Oliveira MM, Blaskovich T (2003) Comparison of heat transfer augmentation on techniques. AIAA J 41(3):337–362CrossRefGoogle Scholar
  46. Mantle PL (1966) A new type of roughened heat transfer surface selected by flow visualization techniques. In: Proceedings of the 3rd international heat transfer conference, vol 1, pp 45–55Google Scholar
  47. Mendes PRS, Mauricio MHP (1987) Heat transfer, pressure drop, and enhancement characteristics of the turbulent flow through internally ribbed tubes. In: Convective transport, ASME HTD, vol 82, pp 15–22Google Scholar
  48. Nikuradse J (1933) Laws of flow in rough pipes, VD! Forschungsheft, p 361 [English translation, NACA TM-1292 (1965)]Google Scholar
  49. Nunner W (1956) Heat transfer and pressure drop in rough pipes, VDI-Forschungsheft, 455, Ser B 22: 5–39 [English Translation, AERE Lib./Trans 786 (1958)]Google Scholar
  50. Obot NT, Das L, Rabas TJ (2001) Smooth- and enhanced-tube heat transfer and pressure drop. Part II. The role of transition to turbulent flow. In: Shah RK (ed) Proceedings of the third international conference on compact heat exchangers and enhancement technology for the process industriesGoogle Scholar
  51. Olsson CO, Sunden B (1996) Heat transfer and pressure drop characteristics of ten radiator tubes. Int J Heat Mass Transf 39:3211–3220CrossRefGoogle Scholar
  52. Olsson CO, Sunden B (1998a) Experimental study of flow and heat transfer in rib-roughened rectangular channels. Exp Therm Fluid Sci 16:349–365CrossRefGoogle Scholar
  53. Olsson CO, Sunden B (1998b) Thermal and hydraulic performance of a rectangular duct with multiple V-shaped ribs. J Heat Transf 121:1072–1077CrossRefGoogle Scholar
  54. Patankar SV (1990) Numerical prediction of flow and heat transfer in compact heat exchanger passages. In: Shah RK, Kraus AD, Metzger D (eds) Compact heat exchangers. Hemisphere, Washington, DC, pp 191–204Google Scholar
  55. Perng SW, Wu HW (2013) Heat transfer enhancement for turbulent mixed convection in reciprocating channels by various rib installations. J Enhanc Heat Transf 20(2):95–114CrossRefGoogle Scholar
  56. Prakash C, Zerkle R (1995) Prediction of turbulent flow and heat transfer in a ribbed rectangular duct with and without rotation. J Turbomachinery 117:255–264CrossRefGoogle Scholar
  57. Rau G, Cakan M, Moeller D, 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):368–375CrossRefGoogle Scholar
  58. Rabas TJ, Arman B (1992) The influence of the Prandtl number of the thermal performance of tubes with the separation and reattachment enhancement mechanism. J Enhanc Heat Transf 1(1):5–21CrossRefGoogle Scholar
  59. Rigby DL, Steinthorsson E, Ameri AA (1997) Numerical prediction of heat transfer in a channel with ribs and bleed, ASME Paper 97-GT-431. ASME, New YorkGoogle Scholar
  60. Saha AK, Acharya S (2005) Flow and heat transfer in an internally ribbed duct with rotation: an assessment of large eddy simulations and unsteady Reynolds-averaged Navier–Stokes simulations. ASME J Turbomach 127(2):306–320CrossRefGoogle Scholar
  61. Schlichting H (1979) Boundary-Layer theory, 7th edn. McGraw-Hill, New York, pp 600–620Google Scholar
  62. Smith JW, Gowen RA (1965) Heat transfer efficiency in rough pipes at high Prandtl number. AIChE J 11:941–943CrossRefGoogle Scholar
  63. Song Y, Zheng S, Sunden B, Xie G, Zhou H (2013) Numerical investigation of turbulent heat transfer enhancement in a ribbed channel with upper-downstream-shaped deflectors. J Enhanc Heat Transf 20(5):399–411CrossRefGoogle Scholar
  64. Takahashi K, Nakayama W, Kuwahara H (1988) Enhancement of forced convective heat transfer in tubes having three-dimensional spiral ribs. Heat Transf Jpn Res 17(4):12–28Google Scholar
  65. Taylor RP, Hodge BK (1992) Fully-developed heat transfer and friction factor predictions for pipes with 3-dimensional roughness. In: Ebadian MS, Oosthuizen PH (eds) Fundamentals of forced convection heat transfer, ASME Symp. HTD, vol 210, pp 75–84Google Scholar
  66. Taylor RP, Coleman HW, Hodge BK (1984) A discrete element prediction approach for turbulent flow over rough surfaces, Report TFD-84-1. Department of Mechanical Engineering, Mississippi State UniversityGoogle Scholar
  67. Taylor RP, Scaggs WF, Coleman HW (1988) Measurement and prediction of the effects of nonuniform surface roughness on turbulent flow friction coefficients. J Fluid Eng 110:380–384CrossRefGoogle Scholar
  68. Vicente PG, Garcia A, Viedma A (2002a) Experimental study of mixed convection and pressure drop in helically dimpled tubes for laminar and transition flow. Int J Heat Mass Transf 45:5091–5105CrossRefGoogle Scholar
  69. Vicente PG, Garcia A, Viedma A (2002b) Heat transfer and pressure drop for low Reynolds turbulent flow in helically dimpled tubes. Int J Heat Mass Transf 45:543–553CrossRefGoogle Scholar
  70. Viswanathan AK, Tafti DK (2006) A comparative study of DES and URANS for flow prediction in a two-pass internal cooling duct. ASME J Fluids Eng 128(6):1136–1345CrossRefGoogle Scholar
  71. Watkinson AP, Miletti DL, Kubanek GR (1975) Heat transfer and pressure drop of forge-fin tubes in laminar oil flow, ASME paper 75-HT-41, presented at the AIChE-ASME heat transfer conference, San Francisco, Aug 11–13Google Scholar
  72. Webb RL, Eckert ERG, Goldstein RJ (1971) Heat transfer and friction in tubes with repeated rib roughness. Int J Heat Mass Transf 14:601–617CrossRefGoogle Scholar
  73. Webb RL, Kim NH (2005) Principles of enhanced heat transfer. Taylor & Francis, New YorkGoogle Scholar
  74. Xie G, Zheng S, Zhang W, Sunden B (2013) A numerical study of flow structure and heat transfer in a square channel with ribs combined downstream half-size or same-size ribs. Appl Therm Eng 61:289–300CrossRefGoogle Scholar
  75. Zukauskas AA (1972) Heat transfer from tubes in crossflow. In: Hartnett JP, Irvine TF Jr (eds) Advances in heat transfer, vol 8. Academic Press, New YorkGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Sujoy Kumar Saha
    • 1
  • Hrishiraj Ranjan
    • 1
  • Madhu Sruthi Emani
    • 1
  • Anand Kumar Bharti
    • 1
  1. 1.Mechanical Engineering DepartmentIndian Institute of Engineering Science and Technology, ShibpurHowrahIndia

Personalised recommendations