Head Loss of Incompressible Viscous Flow

  • Hongqing Song


Actual fluids have different flow regimes due to viscosity. The regimes include laminar flow and turbulent flow. The regimes, viscosity, and pipe wall surface have influence on flow resistance, which leads to head loss for fluids flow. In this chapter, we will firstly introduce types of head loss (friction loss and minor head loss) and two regimes of fluids flow. Then we will study characteristics of laminar flow and turbulent flow in circular pipe. Furthermore, we will present the definition of friction factor and discuss ways to determine value of friction factor in order to calculate friction loss. Finally, we will give determination of minor head loss.


Friction loss Reynolds number Laminar flow Turbulent flow Nikuradse tests Moody chart Boundary layer 


  1. 1.
    White, F.M.: Fluid Mechanics, 7th edn. McGraw-Hill, New York (2011)Google Scholar
  2. 2.
    Fox, R.W., McDonald, A.T., Pritchard, P.J.: Introduction to Fluid Mechanics, vol. 5, 8th edn. Wiley, New York (2011)Google Scholar
  3. 3.
    Reynolds, O.: An experimental investigation of the circumstances which determine whether the motion of water shall be direct sinuous and of the law or resistance in parallel channels. Philos. Trans. R. Soc. 174, 935–982 (1883)CrossRefGoogle Scholar
  4. 4.
    Xie, Z.: Engineering Fluid Mechanics, 4th edn. Metallurgical Industry Press, Beijing (2014)Google Scholar
  5. 5.
    Song, H.: Engineering Fluid Mechanics and Environmental Application. Metallurgical Industry Press, Beijing (2016)Google Scholar
  6. 6.
    Schlichting, H.: Boundary Layer Theory, 8th edn. McGraw-Hill, New York (2000)CrossRefGoogle Scholar
  7. 7.
    Prandtl, L.: Über Flüßigkeitsbewegung bei sehr kleiner Reibung. Verh. 3. Intern. Math. Kongr., Heidelberg (1904), pp. 484–491, Nachdruck: Ges. Abh., pp. 575–584. Springer, Heidelberg (1961)Google Scholar
  8. 8.
    von Kármán, T.: Über laminare und turbulente Reibung. Zeitschrift für angewandte Mathematik und Mechanik 1, 233–252 (1921)CrossRefGoogle Scholar

Copyright information

© Metallurgical Industry Press, Beijing and Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.School of Civil and Resource EngineeringUniversity of Science and Technology BeijingBeijingChina

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