Rocket Engine Mass Flow and Continuity Quiz

The principle stating that mass cannot be created or destroyed, but can only change forms.

A mathematical expression that describes the principle of mass conservation.

A flow that does not change over time.

The amount of mass entering a region per unit time.

The amount of mass leaving a region per unit time.

The time rate of change of mass within a material region is zero, meaning mass is conserved. This principle is central to understanding fluid flow.

For an incompressible fluid flowing in one direction, the mass entering a control volume must equal the mass leaving it.

In the continuity equation, ρAV = constant. This means that the product of density (ρ), area (A), and velocity (V) remains constant throughout the flow.

The mass flow rate (m) is the amount of mass passing through a particular point in a fluid flow per unit time. It's calculated by multiplying density, area, and velocity (ρAV).

The continuity equation applied to a control volume with multiple inlets and outlets states that the sum of all mass flow rates entering and leaving the control volume is zero. In other words, the total mass flow rate into the control volume equals the total mass flow rate out of the volume.

The net mass flow rate into a control volume is the sum of mass flow rates across all surfaces.

The continuity equation in its differential form, representing conservation of mass for a fluid element.

Equations describing the motion of an inviscid fluid, derived from conservation laws.

A simplified version of Euler's equations, focusing on the conservation of momentum for an inviscid fluid.

The principle stating that mass cannot be created or destroyed, only transformed, applied to fluids in motion.

The mass flux rate of a fluid through a specific area, calculated by multiplying density, area, and velocity.

The rate of change of momentum of a fluid element is equal to the sum of forces acting on it. This is a direct application of Newton's Second Law of Motion. The force in this equation is the pressure force. Friction and gravity forces are neglected, and the acceleration is expressed in terms of the substantial derivative.

A force that arises from a difference in pressure between two points. The pressure force is the difference in pressure multiplied by the area over which it acts.

A force that arises from the interaction of a moving fluid with the surface it passes over. Viscosity is the resistance to relative motion within a fluid.

A force that arises from the Earth's gravitational pull. It acts downwards on all objects, including fluid elements.

The principle stating that energy cannot be created or destroyed, only transformed from one form to another.

This equation applies the principle of conservation of energy to fluid flow systems, allowing engineers to analyze energy transformations occurring during flow processes.

This fundamental law states that the change in a system's energy depends only on its initial and final states, regardless of the path taken.

This equation represents the mathematical expression of the 1st law of thermodynamics, capturing the balance of energy in a fluid system.

This equation shows the relationship between the rate of change of energy in a system, heat added, and work done by the system.

A fundamental equation in fluid mechanics that describes the relationship between pressure change and velocity change. It states that the pressure drop in a fluid is directly proportional to the change in velocity squared.

The Euler equation is a simplified form of the Bernoulli equation that neglects gravity and viscosity. It applies to inviscid, steady flows.

The flow is considered steady when the rate of mass and energy flow through a specific area remains constant. It doesn't vary over time.

The energy equation, in the context of fluid flow, describes the balance of energy in a system. It considers the energy associated with the fluid's motion, pressure, and potential energy.

The conservation of energy principle states that energy cannot be created or destroyed, only transformed from one form to another. In fluid mechanics, it means that the total energy of a fluid system remains constant during its flow.

The amount of energy stored within a fluid element, often due to temperature and pressure.

The energy associated with the motion of a fluid, often represented by the velocity squared term.

The rate at which energy is transferred to or from a system due to heat.

The rate at which energy is transferred to or from a system due to work, like pressure forces or frictional forces.

The fundamental equation in fluid mechanics that states that the rate of change of total energy in a system equals the sum of the heat rate and the work rate. It describes energy conservation in fluid flow.

The rate at which energy flows into or out of a control volume due to the movement of fluid.

A condition where the mass flow rate, fluid properties at any point, and energy at the inlet and outlet remain constant over time.