Fließgleichung

Fließgleichung is a German term that translates to "flow equation" or "flow law" in English. It refers to a mathematical relationship that describes how a fluid moves under the influence of forces. These equations are fundamental in fluid mechanics and are used to model and predict the behavior of liquids and gases in various engineering and scientific applications.

The specific form of a Fließgleichung depends on the properties of the fluid and the flow conditions. For simple, Newtonian fluids, the flow behavior is often described by Newton's law of viscosity, which relates shear stress to shear rate. This is a linear relationship. However, many real-world fluids, such as paints, blood, or suspensions, exhibit non-Newtonian behavior. For these fluids, the relationship between stress and strain rate is more complex and cannot be described by a single linear equation. Various empirical or semi-empirical models, such as the power-law model, Bingham plastic model, or Herschel-Bulkley model, are used as Fließgleichungen to characterize their flow behavior.

These equations are essential for designing pipelines, pumps, mixing equipment, and understanding phenomena like blood flow in arteries or the movement of magma. They allow engineers and scientists to calculate flow rates, pressure drops, and the forces acting on surfaces within the fluid. The development and application of Fließgleichungen are crucial for fields ranging from chemical engineering and mechanical engineering to geophysics and biomechanics.