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Coastal Engineering: Theory and Practice
• Euler’s model law
• Weber’s model law
• Mach’s model law
Reynolds model law
Reynolds number is the ratio of inertia force and viscous force. If the viscous forces acting on the System are more prédominant than the other
forces, the models are designed for dynamic similarity based on Reynolds
law, which States that the Reynolds number for the model must be equal to
the Reynolds number for the prototype. Models based on Reynolds number includes problems based on pipe flow, résistance experienced by submarines, airplanes, fully immersed bodies etc.
Re = pVL/p
where p is the density, V is the velocity, L is the characteristic length, and
y is the viscosity.
Froude’s model law
Froude number represents the ratio of inertial forces to gravitational forces.
Fronde model law is applicable when the gravity force is only prédominant
force which Controls the flow in addition to the force of inertia. Froude
number for the model must be equal to the Froude number for the prototype. Froude model law is applicable for free surface flows such as flow over
spillways, weirs, sluices, channels etc., flow of jet from an orifice or nozzle
and flow of different densifies of fluid over one another.
Fr = V/(gL^
where V is the average velocity, L is the characteristic length associated
with the depth, and g is the gravitational accélération.
Euler’s model law
Euler’s number represents the ratio of square roots of inertia force to pressure force. This law is applicable when the pressure forces are alone prédominant in addition to the inertia force. Dynamic similarity between the
model and prototype is achieved when the Euler number for model and prototype are equal. Euler’s model law can be applied to fluid flow problems
Coastal Engineering: Theory and Practice
• Euler’s model law
• Weber’s model law
• Mach’s model law
Reynolds model law
Reynolds number is the ratio of inertia force and viscous force. If the viscous forces acting on the System are more prédominant than the other
forces, the models are designed for dynamic similarity based on Reynolds
law, which States that the Reynolds number for the model must be equal to
the Reynolds number for the prototype. Models based on Reynolds number includes problems based on pipe flow, résistance experienced by submarines, airplanes, fully immersed bodies etc.
Re = pVL/p
where p is the density, V is the velocity, L is the characteristic length, and
y is the viscosity.
Froude’s model law
Froude number represents the ratio of inertial forces to gravitational forces.
Fronde model law is applicable when the gravity force is only prédominant
force which Controls the flow in addition to the force of inertia. Froude
number for the model must be equal to the Froude number for the prototype. Froude model law is applicable for free surface flows such as flow over
spillways, weirs, sluices, channels etc., flow of jet from an orifice or nozzle
and flow of different densifies of fluid over one another.
Fr = V/(gL^
where V is the average velocity, L is the characteristic length associated
with the depth, and g is the gravitational accélération.
Euler’s model law
Euler’s number represents the ratio of square roots of inertia force to pressure force. This law is applicable when the pressure forces are alone prédominant in addition to the inertia force. Dynamic similarity between the
model and prototype is achieved when the Euler number for model and prototype are equal. Euler’s model law can be applied to fluid flow problems