Convergent divergent nozzle theory pdf file

The throat size is chosen to choke the flow and set the mass flow rate through the system. The convergent parts of the nozzle are sharp and frictionless. In the divergent parts, the friction loss may be taken as 0. Flow analysis in a convergentdivergent nozzle using cfd. Pdf simulation of convergent divergent rocket nozzle. This paper aims to study the behavior of flow in convergent divergent nozzle by analyzing various parameters like pressure, temperature and velocity using computational fluid dynamics softwarec.

In an aerodynamic nozzle a convergent primary nozzle is housed within an afterbody which is surrounded. The agreement is excellent for the quantities compared. All these were restricted to flow under idealized conditions, i. This is a very simple program for designing convergentdivergent cd nozzle. Jan, 2015 im currently working on a lab report for my aeroengines unit based on convergentdivergent nozzle. Volume 4 flow analysis in a convergentdivergent nozzle using cfd. Sonic velocity will occur at the exit of the converging extension, instead of the exit of the original nozzle, and the mass flow rate through the nozzle will decrease. Pdf theoretical and experimental investigation of compressible. Cfd analysis of convergentdivergent nozzle using standard k. On the independence theory of equalizer convergence. Fluid flow through convergent divergent nozzle object the aims of the experiment are. Convergentdivergent nozzle is designed for attaining speeds that are greater than speed of sound.

Steam turbine and steam nozzle interview question and answers. Simulation of cavitation bubbles in a convergentdivergent nozzle water jet volume 573 z. I dont have a real grasp of this subject, but from some textbooks ive figured out the following, and mainly, i just want to ensure what im doing is correct. The mesh model of the convergentdivergent nozzle was the input to the fluent software inbuilt inside ansys 12. Based on the design of the convergingdiverging nozzle, the flow velocity after the nozzle throat can either. Sep 01, 2016 a divergent nozzle is used to increase the pressure and thus produce high thrust like aircraft jet engines or rocket propulsion engines. Convergent divergent nozzles are used in back pressure turbine. In a convergent nozzle, there is an increase in velocity and. Ansys fluent software is opened and the design file of cd nozzle saved in catia is imported. Convergentdivergent type of nozzles are mostly used for supersonic flows because it is impossible to create supersonic flows mach number more than one in convergent type of nozzle and therefore it restricts us to a limited amount of mass flow through a. The chamber is usually big enough so that any flow velocities here are negligible. A cfd analysis of compressible flow through convergent. Aug 23, 2017 convergent divergent supersonic nozzle of different cross sections rectangular, square and circular has been performed.

Our predictions, in comparison with the experimental measurements, are shown in the next subsection. Convergent divergent type of nozzles are mostly used for supersonic flows because it is impossible to create supersonic flows mach number more than one in convergent type of nozzle and therefore it restricts us to a limited amount of mass flow through a. Tech scholars 3assistant professor 1,2,3 nri institute of. In a cd nozzle, the hot exhaust leaves the combustion chamber and converges down to the minimum area, or throat, of the nozzle. Gas flows through the nozzle from a region of high pressure usually referred to as the chamber to one of low pressure referred to as the ambient or tank. Multi dimensionality and viscous effects like wall boundary layer and flow separation drastically alter the flow in a cd nozzle. Heat transfer to or from the nozzle wall was neglected. It gives the profile for the divergent part of the cd nozzle. To plot the pressure variation along the nozzle for two different back pressures 2. A divergent nozzle is used to increase the pressure and thus produce high thrust like aircraft jet engines or rocket propulsion engines. The pressure drops in a convergent nozzle because of the bernoulli principle. Convergentdivergent nozzle article about convergent.

Convergent and divergent nozzle essay example graduateway. A nozzle is a spout on the end of a hose or pipe used to control the movement of a fluid like water or air. So, the maximum exit mach one could expect to get off a convergent nozzle is 1 whether the input is supersonic or subsonic. Problem 12 air flow isentropica lly through a convergent divergent nozzle with inlet area of 5. The steam enters the nozzle at high pressure with negligible velocity and leaves at high velocity with low pressure. The procedure for performing cfd analysis on convergent divergent nozzles is described below. The convergent nozzle is a spout that begins large and gets smaller, an abatement in crosssectional region. The nozzle is said to begin where the chamber diameter begins to decrease by the way, we assume the nozzle is axisymmetric, i. Media in category convergent divergent nozzles the following 27 files are in this category, out of 27 total. If the steam floe rate is 1 kgs and the initial velocity of steam is negligible, find the minimum area of the nozzle. Creation of twodimensional geometry of the nozzle and meshing is done on workbench of ansys 14.

It is a tube that is pinched in the middle, making a carefully balanced, asymmetric hourglassshape. And then the meshing of nozzle is done with inflation control is set to program controlled and the inlet, outlet. Nozzles are actually used to modify the flow of a fluid i. Cfd analysis of convergentdivergent nozzle using standard. Convergent divergent nozzles can therefore accelerate fluids that have choked in the convergent section to supersonic speeds. The mesh model of the convergent divergent nozzle was the input to the fluent software inbuilt inside ansys 12. A convergingdiverging nozzle with reservoir pressure fixed. Also known asconvergentdivergent nozzle, cd nozzleorcondi nozzle, is a tube that is pinched in the middle, making a carefully balanced, asymmetrichourglassshape. Meyer skip to main content accessibility help we use cookies to distinguish you from other users and to provide you with a better experience on our websites. Simulation of cavitation bubbles in a convergentdivergent.

Isentropic nozzles georgia institute of technology. It transforms the thermal energy of highpressure liquid flow at the inlet to the kinetic energy of highspeed twophase flow at the outlet. The function of a rocket nozzle is to channelise and accelerate the combustion products produced by the burning propellant, inside a rocket motor, in such as way so as to maximize the velocity of the exhaust at the exit, to supersonic velocity. In this respect, the behavior of convergent and convergentdivergent nozzles is different. Each divergent flap includes a multiple of cooling channels with respective intakes and outlets. The amount of thrust produced by the engine depends on the mass flow rate. Can a convergent nozzle be used for a supersonic jet engine. Convergentdivergent nozzlescan therefore accelerate fluids that have choked in the convergent section to supersonic speeds. Reid communicated by the deputy controller aircraft research and development, ministry of aviation reports and memoranda no. Us7032835b2 convergentdivergent nozzle with modulated. The convergent nozzles are used to increase fluid velocity and thus convert most of the fluid energy into its.

Pdf cfd analysis of convergentdivergent nozzle flow and. The analysis has been performed according to the shape of the supersonic nozzle and keeping the same input conditions. Also known asconvergentdivergent nozzle,cd nozzleorcondi nozzle, is a tube that is pinched in the middle, making a carefully balanced, asymmetrichourglassshape. Consider air flowing at highspeed through a convergentdivergent nozzle having a circular crosssectional area, a, that varies with axial distance from the throat, x, according to the formula a 0. Choking criteria of a convergent nozzle flow are proposed from experiment and theory. Govinda rao 3 1assistant professor, department of mechanical engineering, gmrit, rajam, srikakulam, ap 2, 3 associate professor,department of mechanical engineering, gmrit, rajam srikakulam, ap. Govinda rao 3 1assistant professor, department of mechanical engineering, gmrit, rajam, srikakulam, ap 2, 3 associate professor,department of. A convergent nozzle is a nozzle that starts big and gets smallera decrease in crosssectional area. The classical one dimensional inviscid theory does not reveal the complex flow features in a convergent divergent nozzle accurately.

The nozzle is an essential component of the ejector. Our objective is to investigate the best suited nozzle which gives. Modeling the 2dimensional modeling of the nozzle was done using catiav5 and file was saved in. There are various types of rocket nozzles which are used depending upon the mission of the rocket. Modification of rayleighplesset theory for reproducing dynamics of cavitation bubbles in liquid. Abstract the challenges of convergentdivergent nozzle to be used in aero gas turbines have been a bottleneck for research. Convergent divergent nozzlescan therefore accelerate fluids that have choked in the convergent section to supersonic speeds. Low reynolds number nozzle flow study nasatr 10d low reynolds nunbeb njzzle a72426 flow study h. Here we use a converging diverging nozzle to connect two air cylinders. Convergentdivergent type of nozzles are mostly used for supersonic flows because it.

A nozzle system includes a multiple of circumferentially distributed convergent flaps, divergent flaps and interflap seals which circumscribe an engine centerline and define the radial outer boundary of a gas path. Modeling and simulation of convergentdivergent nozzle. The classical one dimensional inviscid theory does not reveal the complex flow features in. This nozzle configuration is called a convergent divergent, or cd, nozzle. Now, for supersonic flight, it is necessary that the exit mach number is greater than 1. To get a basic feel for the behavior of the nozzle imagine performing the simple experiment shown in figure 2.

Divergent nozzles slow fluids if the flow is subsonic, but they accelerate sonic or supersonic fluids. Newtons theory was soon followed by other theoretical solution of fluid motion problems. The effects of mach number and nozzle pressure ratios npr on mass flow rate, maximum pressure, and maximum velocity and on maximum force are studied using fluent analysis. Cylinder a contains air at high pressure, and takes the place of the chamber. The energy conversion efficiency of a convergingdiverging nozzle is its ability to convert the thermal energy stored at the highpressure inlet flow to the kinetic energy at the highspeed outlet flow. A rocket nozzle is a mechanical device which is designed to control the rate of flow, speed, direction and pressure of stream that exhaust through it. The usual configuration for a convergingdiverging nozzle. The cd nozzle exhausts this air into cylinder b, which takes the place of the tank. What is the purpose of divergent portion after the throat section of nozzle. In such cases, one has to use the convergent divergent nozzle cd nozzle. Isentropic nozzles apply equations for isentropic flow with area change to nozzles nozzles increases velocity of fluid no work converts thermal energy to ke tu for conventional wallbounded nozzles, two types. These results were further plotted comparing them with. If a nozzle is designed to operate so that it is just choked, any other operating condition is an offdesign condition.

So in theory the nozzle should open, close, open as we go through the ab, mil and idle phases, but in practice the deec sensing a commanded rapid decelaration would generally schedule the nozzles open through the whole phase with slight adjustments. Design optimisation of convergentdivergent aircraft nozzle tolumoye j. Oct 10, 2015 this is a very simple program for designing convergent divergent cd nozzle. Convergentdivergent nozzles are used in back pressure turbine. To investigate the effect of variations in back pressure on the mass flow rate through the nozzle and 3. It is used to accelerate a hot, pressurized gas passing through it to a higher supersonic speed in the axial thrust direction, by converting the heat energy of the flow into kinetic energy. Cfd analysis of convergent divergent supersonic nozzle ms. What are the advantages of convergent divergent nozzle. Speed of sound at each section inlet, throat, exit of the nozzle. Cfd analysis of convergent divergent supersonic nozzle. The area ratio is accurate for mach number m up to 5. Nozzle geometry, expansion ratios, flow and boundary conditions have been drawn on the basis of the literature survey. If the nozzle pressure ratio is high enough, then the flow will reach. But the design of tri nozzle is optimized to have high expansion coefficient than single nozzle without altering the divergent angle.

Ramjets and rockets typically use a fixed convergent section followed by a fixed divergent section for the design of the nozzle. Modeling and simulation of convergentdivergent nozzle using. The following section outlines in depth about the procedure and the results discussed from the experiment. The procedure for performing cfd analysis on convergentdivergent nozzles is described below. A nozzle of a variable length from the inlet to exit has been used for the purpose of the. The theory of air resistance was first proposed by. Flow conditions and regimes in a converging nozzle theoretical predictions. This cd process is more efficient than allowing a convergent nozzle to expand supersonically externally. What are the functions of divergent and convergent nozzle. Fluent compressible flow in a nozzle simcafe dashboard. Determination of efficiency of converging diverging nozzles.

In the present paper, flow through thetri nozzle and convergent divergent nozzle study is carried out by. Tech scholars assistant3 professor 1,2,3nri institute of research and technology, bhopal. The usual configuration for a converging diverging cd nozzle is shown in the figure. May 05, 2015 a nozzle is a relatively simple device, just a specially shaped tube through which hot gases flow. Steam turbine and steam nozzle interview question and. Steam expands in a set of nozzle from 10 bar, 300 0c to 1 bar. An efficient nozzle provides high kinetic energy at the nozzle outlet for high pressure recovery in the ejector. Kishore kumar 1 pg scholar, department ofmech,nalanda institution of engineering and technology kantepudisattenapalli, guntur,a. Nozzle is defined as a device intended to control the speed and direction, or alteration of a liquid stream particularly to expand speed as it exits or enters an encased chamber or pipe.

In a convergent nozzle, there is an increase in velocity. The inviscid theory predicts a simple shock structure consisting of a normal shock. This is therefore paper geared towards proffering solutions in this respect. Computer drawing of a convergentdivergent nozzle with equations that describe. Determination of efficiency of converging diverging. The energy conversion efficiency of a convergingdiverging nozzle is its ability to convert the thermal energy stored at the highpressure inlet. A cfd analysis of compressible flow through convergentconical nozzles nathan spotts, stephen guzik yand xinfeng gao z cfd and propulsion laboratory colorado state universi,ty ofrt collins, colorado, usa orkw presented at the 1st propulsion aerodynamics owrkshop on the cfd study of compressible ow through convergentconical nozzles is summarized. Also known asconvergent divergent nozzle,cd nozzleorcondi nozzle, is a tube that is pinched in the middle, making a carefully balanced, asymmetrichourglassshape. As the nozzle transitions between positions, the divergent flap seals move relative. Abstract having its specific flow characteristics, a convergent divergent nozzles find its applications in various. This nozzle configuration is called a convergentdivergent, or cd, nozzle.

1076 914 547 974 477 100 1505 1113 585 1094 1460 226 296 1391 787 620 1224 1423 934 1050 1468 60 98 289 708 321 103 1395 263 941 1117 801 1129 1070 122 421 1186 1391 1001 742 447 177 689 64 233 1319 571 1395 984 185