Fluid Flow Conservation Equations

Start with the equations

Begin with Basic Equations in Integral Form for an overview of conservation of mass, linear and angular momentum, and the first law of thermodynamics. Use it to identify the ideas you want to study more closely. The mind map on the control volume technique offers another starting point, with a description of the system approach and how it follows individual chunks of fluid.

These resources are part of Fluid Flow Conservation Equations, a section of the Fluid Mechanics unit in Mechanical engineering. They give you ways to approach the equations within that unit, from broad summaries to individual principles.

Explore momentum and energy

The Momentum mind maps approach momentum through flow rate, velocity and forces. One connects the linear momentum equation to the rate of momentum flowing in and out. The other gives a definition based on flow rate and fluid velocity. Compare them to see how each presents the relationship.

Bernoulli and the Energy Equation relates pressure, velocity and elevation heads at different points. Bernoulli's Theorem lists assumptions and applications, including the venturimeter, orifice meter and Pitot tube. Use the maps together to study the equation alongside its stated assumptions.

Connect mass conservation to practice

The mind map on continuity and flow rate links the continuity equation to conservation of mass. Another map covers the continuity equation, incompressible fluid and steady flow. After studying those summaries, try the quiz on differential relations for fluid flow. It includes a question about a velocity distribution where conservation of mass is satisfied.

Use a quiz question to identify an equation or relationship you want to examine again, then return to a relevant map. Governing equations is another quiz listed on the page. Choose a map and quiz to use together.