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Law of Laplace

  • Nicolaas Westerhof
  • Nikolaos Stergiopulos
  • Mark I. M. Noble
Chapter

Abstarct

The original law of Laplace pertains to soap bubbles, with radius r, and gives the relation between transmural pressure, P t , and wall tension, T s , in a thin-walled sphere as T s =P t · r. The law can be used, for example, to calculate tension in alveoli. This tension is directly related to surface tension and has the dimension N/m. The form of the law of Laplace most often used in hemodynamics gives the relation between transmural pressure and the stress in the wall in organs with a wall thickness h. We here use the Cauchy stress formulation, which is defined as the ratio of the normal (perpendicular) force acting on a surface divided by the area of the surface at its deformed configuration. Stress has the dimension N/m2 (see Figure in the box).

Keywords

Circular Cylinder Fiber Stress Wall Stress Transmural Pressure Wall Tension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer US 2010

Authors and Affiliations

  • Nicolaas Westerhof
    • 1
  • Nikolaos Stergiopulos
    • 2
  • Mark I. M. Noble
    • 3
  1. 1.Departments of Physiology and Pulmonology ICaR-VUVU University Medical CenterAmsterdamthe Netherlands
  2. 2.Laboratory of Hemodynamics and Cardiovascular TechnologySwiss Federal Institute of TechnologyLausanneSwitzerland
  3. 3.Cardiovascular MedicineAberdeen UniversityAberdeenScotland

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