Lecture

Conservation of Momentum in Nozzle Flow

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In course

ME-343: Compressible-fluid dynamics

Fluides compressibles, vitesse sonique, ondes de choc, détente. ...

Description

This lecture builds upon the conservation of mass equation in a quasi-one-dimensional nozzle, introducing the conservation of momentum. The instructor explains the terms involved in the momentum conservation equation, including the temporal variation of momentum and the momentum flow through the control volume. The forces acting on the control volume, such as pressure and viscous forces, are discussed. By assuming certain flow conditions, the equation simplifies to a form resembling the Euler equation. The derivation involves integrating terms over control volume surfaces and considering pressure variations. The resulting equation resembles the inviscid form of the Navier-Stokes equations, tailored for one-dimensional, unsteady flow. The lecture concludes by hinting at the upcoming analysis of flow behavior at different Mach numbers and geometries.

Instructor

Flavio Noca

Expertise Fluid MechanicsAerodynamicsDrone Wind & Weather FacilitiesHydrodynamicsCarbon NanotubesExperimental TechniquesBio-Inspired PropulsionSports Aerodynamics & Hydrodynamics Expertise Fluid MechanicsAerodynamicsDrone Wind & Weather FacilitiesHydrodynamicsCarbon NanotubesExperimental TechniquesBio-Inspired PropulsionSports Aerodynamics & Hydrodynamics Current work

Wind & Weather Facilities for Drones - Unsteady Aerodynamics - Advanced Flow Diagnostics Techniques Education PhD | Unsteady Aerodynam

Official source

Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

Related concepts (15)

Viscosity

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. Viscosity is defined scientifically as a force multiplied by a time divided by an area. Thus its SI units are newton-seconds per square metre, or pascal-seconds. Viscosity quantifies the internal frictional force between adjacent layers of fluid that are in relative motion.

Viscous stress tensor

The viscous stress tensor is a tensor used in continuum mechanics to model the part of the stress at a point within some material that can be attributed to the strain rate, the rate at which it is deforming around that point. The viscous stress tensor is formally similar to the elastic stress tensor (Cauchy tensor) that describes internal forces in an elastic material due to its deformation. Both tensors map the normal vector of a surface element to the density and direction of the stress acting on that surface element.

Nozzle

A nozzle is a device designed to control the direction or characteristics of a fluid flow (specially to increase velocity) as it exits (or enters) an enclosed chamber or pipe. A nozzle is often a pipe or tube of varying cross sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas). Nozzles are frequently used to control the rate of flow, speed, direction, mass, shape, and/or the pressure of the stream that emerges from them. In a nozzle, the velocity of fluid increases at the expense of its pressure energy.

Conservation law

In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of mass-energy, conservation of linear momentum, conservation of angular momentum, and conservation of electric charge. There are also many approximate conservation laws, which apply to such quantities as mass, parity, lepton number, baryon number, strangeness, hypercharge, etc.

Pressure

Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled gage pressure) is the pressure relative to the ambient pressure. Various units are used to express pressure. Some of these derive from a unit of force divided by a unit of area; the SI unit of pressure, the pascal (Pa), for example, is one newton per square metre (N/m2); similarly, the pound-force per square inch (psi, symbol lbf/in2) is the traditional unit of pressure in the imperial and US customary systems.

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