Momentum Equation And Its Application Pdf


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22.03.2021 at 01:36
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momentum equation and its application pdf

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The propeller is a mechanical devise that is used to increase the fluid momentum. Many times it is used for propulsion purposes of airplanes, ships and other devices thrust as shown in Figure 6. The propeller can be stationary like in cooling tours, fan etc.

The Momentum Theorem and Its Applications

Application of the Momentum Equation. In this section we will consider the following examples:. The force due the flow around a pipe bend. Flow round a pipe bend of constant cross-section. Why do we want to know the forces here? Because the fluid changes direction, a force very large in the case of water supply pipes, will act in the bend.

If the bend is not fixed it will move and eventually break at the joints. We need to know how much force a support thrust block must withstand. The control volume is draw in the above figure, with faces at the inlet and outlet of the bend and encompassing the pipe walls. It is convenient to choose the co-ordinate axis so that one is pointing in the direction of the inlet velocity. In the above figure the x-axis points in the direction of the inlet velocity.

There are no body forces in the x or y directions. The only body force is that exerted by gravity which acts into the paper in this example — a direction we do not need to consider. Force on a pipe nozzle. Force on the nozzle at the outlet of a pipe. Because the fluid is contracted at the nozzle forces are induced in the nozzle. Anything holding the nozzle e. Notice how this is a one dimensional system which greatly simplifies matters. We use the Bernoulli equation to calculate the pressure.

Is friction losses are neglected,. The only body force is the weight due to gravity in the y-direction — but we need not consider this as the only forces we are considering are in the x-direction. Impact of a Jet on a Plane. We will first consider a jet hitting a flat plate a plane at an angle of 90, as shown in the figure below.

We want to find the reaction force of the plate i. A perpendicular jet hitting a plane. As the system is symmetrical the forces in the y-direction cancel i. The pressure force is zero as the pressure at both the inlet and the outlets to the control volume are atmospheric. As the control volume is small we can ignore the body force due to the weight of gravity. Fill in your details below or click an icon to log in:.

You are commenting using your WordPress. You are commenting using your Google account. You are commenting using your Twitter account. You are commenting using your Facebook account. Notify me of new comments via email. Notify me of new posts via email. Application of the Momentum Equation In this section we will consider the following examples: Force due to the flow of fluid round a pipe bend.

Force on a nozzle at the outlet of a pipe. Impact of a jet on a plane surface. Flow round a pipe bend of constant cross-section Why do we want to know the forces here? Force on a pipe nozzle Force on the nozzle at the outlet of a pipe. Impact of a Jet on a Plane We will first consider a jet hitting a flat plate a plane at an angle of 90, as shown in the figure below.

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APPLICATION OF MOMENTUM EQUATION

Introduce the momentum equation for a fluid Demonstrate how the momentum equation and principle of conservation of momentum is used to predict forces induced by flowing fluids. The lift force on an aircraft is exerted by the air moving over the wing. A jet of water from a hose exerts a force on whatever it hits. In fluid mechanics the analysis of motion is performed in the same way as in solid mechanics - by use of Newtons laws of motion. Account is also taken for the special properties of fluids when in motion. The momentum equation is a statement of Newtons Second Law and relates the sum of the forces acting on an element of fluid to its acceleration or rate of change of momentum.

In fluid mechanics the analysis of motion is performed in thesame way as in solid mechanics - by use ofNewtons laws of. In fluid mechanics it is not clear what mass of moving fluid, weshould use a different form of the equation. The Rate of change of momentum of a body is equal to theresul tant force acting on the body, and takes place in the. For a three-dimensional x, y, z system we then have an extraforce to calculate and resolve in thezdirection. The force exerted by the fluid on the solid body touching thecontrol volume is equal and opposite toFR. So the reaction.

Don't have an account? A key aim is to demonstrate that it is possible to establish a relatively simple theoretical basis which can give quite accurate and useful information about the performance of such complex machines as jet and rocket engines, the jet pump, and the Pelton turbine. Other examples include flow through a sudden enlargement, a convergent nozzle, a pipe bend, a pipe junction, and a cascade of guidevanes. For each example it is shown how to define a suitable control volume. Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter. Please, subscribe or login to access full text content.


The equations that show this relation are called momentum equations can be derived using Newton's second law of motion. Basic Equation: In fluid mechanics​.


Application of the Momentum Equation

The Navier—Stokes equations mathematically express conservation of momentum and conservation of mass for Newtonian fluids. They are sometimes accompanied by an equation of state relating pressure , temperature and density. The difference between them and the closely related Euler equations is that Navier—Stokes equations take viscosity into account while the Euler equations model only inviscid flow. As a result, the Navier—Stokes are a parabolic equation and therefore have better analytic properties, at the expense of having less mathematical structure e. The Navier—Stokes equations are useful because they describe the physics of many phenomena of scientific and engineering interest.

Application of the Momentum Equation. In this section we will consider the following examples:. The force due the flow around a pipe bend. Flow round a pipe bend of constant cross-section.

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Momentum Equation and its Applications

Срочно. Она попыталась собраться с мыслями. - Сегодня суббота, сэр. Обычно мы… - Знаю, - спокойно сказал .

 Чед, список будет распечатан в течение тридцати секунд. Вот мои условия. Ты даешь мне ключ. Если Стратмор обошел фильтры, я вызываю службу безопасности. Если я ошиблась, то немедленно ухожу, а ты можешь хоть с головы до ног обмазать вареньем свою Кармен Хуэрту.  - Мидж зло посмотрела на него и протянула руку.

Половина головы красная, половина - синяя. Как пасхальное яйцо. - Я сказал, что ты занял мое место. - Впервые тебя вижу, - сказал Беккер вставая. Не хватало еще ввязаться в драку. Пора отсюда сматываться. - Куда ты девал мои бутылки? - угрожающе зарычал парень.


7/27/ Chapter 5- Momentum Equation and Its Applications. 3/ MOMENTUM AND FLUID FLOW. We have all seen moving fluids.


Momentum Equation Applied to Propellers

Спустя несколько секунд Соши преобразовала на экране, казалось бы, произвольно набранные буквы. Теперь они выстроились в восемь рядов по восемь в каждом. Джабба посмотрел на экран и в отчаянии всплеснул руками. Новый порядок букв показался не более вразумительным, чем оригинал. P F Е Е S Е S N R Е Т М Р F Н А I R W E О О 1 G М Е Е N N R М А Е N Е Т S Н А S D С N S I 1 А А I Е Е R В R N К S В L Е L О D 1 - Ясно как в полночь в подвале, - простонал Джабба. - Мисс Флетчер, - потребовал Фонтейн, - объяснитесь.

Ch 5 Momentum and forces in fluid flow

По-видимому, Стратмор проверял свой план с помощью программы Мозговой штурм.

Это аварийное электропитание в шифровалке было устроено таким образом, чтобы системы охлаждения ТРАНСТЕКСТА имели приоритет перед всеми другими системами, в том числе освещением и электронными дверными замками. При этом внезапное отключение электроснабжения не прерывало работу ТРАНСТЕКСТА и его фреоновой системы охлаждения. Если бы этого не было, температура от трех миллионов работающих процессоров поднялась бы до недопустимого уровня - скорее всего силиконовые чипы воспламенились бы и расплавились. Поэтому такая перспектива даже не обсуждалась. Сьюзан старалась сохранять самообладание.

Одному несчастному азиату стало плохо. Я попробовал оказать ему помощь, но все было бесполезно. - Вы делали ему искусственное дыхание. На лице старика появилось виноватое выражение.

 Эй! - услышал он за спиной сердитый женский голос и чуть не подпрыгнул от неожиданности. - Я… я… прошу прощения, - заикаясь, сказал Беккер и застегнул молнию на брюках. Повернувшись, он увидел вошедшую в туалет девушку.

Шифр, подумала. Кабинет постепенно утопал в дыму. Стало трудно дышать.

2 Comments

Christiane C.
25.03.2021 at 12:04 - Reply

in motion. ¢ The momentum equation is a statement of Newton's Second. Law and relates the sum of the forces acting on an element of fluid to its acceleration or.

Raison P.
31.03.2021 at 21:42 - Reply

This equation states the relationship between velocity (v), Pressure (P), and elevation (z) for: steady flow of frictionless fluid of constant density. This equation is.

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