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# Kaplan turbine velocity triangle

This scree-cast video provides a concise description of the velocity triangles of a Kaplan Turbine and presents the solution of two numerical problems relate.. Find the whirl velocity of water at the inlet of Kaplan turbine? The velocity of the flow at the inlet of Kaplan turbine is V. In an experimental setup, what could be the possible value of the velocity of the flow at the outlet of Kaplan turbine? The relative velocity of water at the inlet of the Kaplan turbine is 7 m/s. β1 = 75o. Thewhirl velocity of the water at inlet is 10 m/s

### Kaplan Turbines Velocity Triangles and numerical problems

This is the Sixteenth Lecture of the Course MET206 Fluid Machinery for the Fourth Semester B.Tech Mechanical Engineering Degree Students of KTU (APJ Abdul Ka.. Table 1 provides the information of the velocity triangle for each of the 15 red dots. Notation 1 describes the coordinates for the blade inlet, for the middle and 2 for the outlet Figure 9.18 shows the velocity triangles and part section of a Kaplan turbine drawn for the mid-blade height. At exit from the runner, the flow is shown leaving the runner without a whirl velocity, i.e., cθ3 5 0 and constant axial velocity

### [Solved] In the outlet velocity triangle of a Kaplan

• The velocity triangle analysis for Kaplan turbine has been carried out by using the values of different parameters provided in Table 2. Inlet and outlet blade angles have been calculated as per equations provided in Table 3. Velocity triangle at inlet and outlet of Kaplan turbine is shown as Fig. 1
• Kaplan Turbine is an axial reaction flow turbine and has adjustable blades. When the water flows parallel to the axis of the rotation of the shaft, the turbine is known as the axial flow turbine . And if the head of the inlet of the turbine is the sum of pressure energy and kinetic energy during the flow of water through a runner a part of pressure.
• In turbo machinery, a velocity triangle or a velocity diagram is a triangle representing the various components of velocities of the working fluid in a turbo machine. Velocity triangles may be drawn for both the inlet and outlet sections of any turbo machine
• Answer: b. Clarification: In the inlet velocity triangle, tan (α1) = Vf1/ Vw1Since α1 = 45o, Vf1 = Vw1 = 10 m/s. 13. The whirl velocity of water at the inlet of the Kaplan turbine is 15 m/s. The velocity of water at inlet of the turbine is 20 m/s. Find the guide vane angle at inlet (In degrees)
• The Kaplan turbine is a water turbine which has adjustable blades and is used for low heads and high discharges. The Kaplan turbine is an inward flow reaction turbine, which means that the working fluid changes pressure as it moves through the turbine and gives up its energy. The inlet is a scroll-shaped tube that wraps around the turbine's wicket gate
• KAPLAN TURBINE AND VELOCITY VECTORS Shaft U1 Inlet velocity triangle V AVI Runner vane D Hub D Ve=V1 = V. . V = O (Medium runner = 90°) Outlet velocity triangle uz The Kaplan turbine has the following machin
• Therefore, the inlet velocity triangles of those turbines (Figure 30.2a to 30.2d) are shown in a plane containing the radial ant tangential directions, and hence the flow velocity represents the radial component of velocity. In case of a Kaplan runner, the flow at inlet is in axial and tangential directions

Velocity Triangles for an Axial Flow Turbine Stage. We can apply the same analysis techniques to a turbine, Figure 12.8. The stator, again does no work. It adds swirl to the flow, converting internal energy into kinetic energy. The turbine rotor then extracts work from the flow by removing the kinetic energy associated with the swirl velocity In this video, I explained Velocity Triangle And Work Done Of Francis Turbine with animation and following topic.1. Animation of velocity triangle of Francis.. 9.6 Velocity Triangle for a Kaplan Turbine at Guide Vane Exit 9.7 Velocity Triangle for a Kaplan Runner 10.1 Three Blade Angles at Impeller Exit 10.2 H vs Q for Three Blade Angles 10.3 P vs Q for Three Blade Angles 10.4 Inlet to Pump Impeller 10.5 Exit from Pump Impeller 10.6 Pump Inlet. Complete physics (10th class) in one video : https://youtu.be/Ku_woBrMVM8Complete thermodynamics in one video : , https://youtu.be/hbMh7Sir920Complete streng.. Fundamental of Turbomachinery for Mechanical Engineerin

### Fluid Machinery KTU, Kaplan Turbine, Velocity Triangles

• In Kaplan turbine, the water flows axially in and axially out while in Francis turbine it is radially in and axially out. The runner blades in the Kaplan turbine are less in number as the blades are twisted and covers a larger circumference. Friction losses in Kaplan turbine are less. Position of Shaft Francis Turbine is generally vertical but can be horizontal also, and Kaplan Turbines are only in vertical position. The Francis Turbines specific speed is medium (60-300 rpm) and Kaplan.
• Let V = Velocity of the jet u = Velocity of the vane (cups) at the impact point u = DN/ 60 where D = Diameter of the wheel corresponding to the impact point = Pitch circle diameter. At inlet the shape of the vane is such that the direction of motion of the jet and the vane is the same. i.e., Ȑ = 0, ș = 0 Relative velocity at inlet Vr = V —
• Hydraulic Turbines: Classification, various efficiencies. Pelton turbine - velocity triangles, design parameters, Maximum efficiency. Francis turbine - velocity triangles, design parameters, runner shapes for different blade speeds. Draft tubes- Types and functions. Kaplan and Propeller turbines - velocity triangles, design parameters
• A Kaplan turbine is a type of propeller hydro turbine (specifically a reaction turbine) used in hydroelectric plants.Water flows both in and out of Kaplan turbines along its rotational axis ().What makes Kaplan turbines special is the blades can change their angle on demand to maintain maximum efficiency for different flow rates of water. Water flowing through a Kaplan turbine loses pressure.
• Velocity triangle Diagram for Francis turbine. Flow ratio, Kf = Vf1 / √2gH. Flow ratio varies from 0.15 to 0.30 Speed ratio, Ku= u1 / √2gH. Speed ratio varies between 0.6 to 0.9 The ratio of width (B1) to the diameter of the wheel (D1), n= B1/D1. n ratio varies from 0.1 to 0.4
• Kaplan Turbines 8. Kaplan Turbines • The runaway speed of a Kaplan turbine is 2.5 to 3 times its normal working speed whereas the Francis that of Francis turbine is 2 to 2.2 times • So, the revolving parts of the turbo set are designed to withstand runaway speed of 2.5 to 3.5 times the working speed

Hydraulic turbines can be made that are almost completely axial flow, the runner taking the form of vanes perpendicular to the axis, well-described by the term propeller turbines. An example is the Kaplan turbine, invented by Victor Kaplan (1876-1934) and first put into service in 1912-13, with movable blades that rotate, or feather, to handle different conditions, the key to making an efficient propeller turbine. In fact, the guide vanes of a Francis turbine are usually movable for the. Changes. Turbines are sometimes differentiated on the basis of the type of inlet flow, whether the inlet velocity is in axial direction, radial direction or a combination of both. Francis turbine is a mixed hydraulic turbine (the inlet velocity has Radial and Tangential Components) while the Kaplan turbine is an Axial hydraulic turbine(the inlet velocity has only Axial Velocity Component) In the inlet velocity triangle of a Kaplan turbine, α1 = 45o. The velocity of flow at inlet= 10 m/s. Find the whirl velocity of water at the inlet of Kaplan turbine? The velocity of the flow through the Kaplan turbine is 25 m/s. The available head of the turbine is 60 m. Find the flow ratio of the turbine (take g = 10 m/s2). A student reports. Velocity triangle of axial flow turbine  i Kaplan turbine based on net head 4 m and water flow rate, 0.42 m3/s. The selected N.A.C.A series is 4412. C Table 1. Result Data of 10 kW Kaplan Turbine for Micro-hydropower Plant (Runner) No. Description 1Symbol (m/s)Valu

### (PDF) Design and Analysis of a Kaplan Turbine Runner Whee

1. In Addition, the blade has to be distorted on the basis of the tangential velocity. Blade design is the most complex thing in Kaplan turbine. It consists of six steps. 1. Velocity triangle is evaluated at the leading and Trailing edge of the blade. 2. Angle of distortion of the chord lengths (β∞). 3. Lift Coefficients. 4
2. B) Draw typical velocity triangles at inlet and at outlet for low, medium and high specific speed Francis turbines as well as Kaplan turbines. Question: B) Draw typical velocity triangles at inlet and at outlet for low, medium and high specific speed Francis turbines as well as Kaplan turbines
3. Velocity Triangle of Francis/Kaplan Turbine Runners. Here is a tool which draws the inlet and exit velocity triangles over a Francis/Kaplan turbine runner, and helps to study the parametric variations on the velocity triangles. Further, it also computes parameters such as Peripheral velocity, absolute velocity, flow velocity, relative velocity.
4. ed: S Q c m w m (5) Meridian velocity c m [m.s-1] and w m [m.

### Hydraulic Turbines:The Kaplan turbine

Figure 9.3: Velocity Triangle for Francis Turbine Guide Vane Exit Velocity Triangle at 2: Figure 9.3 shows the velocity triangle at 2 and the corresponding cascade view. Earlier velocity triangles were drawn for pumps in a very similar manner. Since the geometry of the blades is very complex only the ﬁrst part of the blade is drawn The velocity triangles at the inlet and exit of the rotor of a turbo machine are shown. V denotes the absolute velocity of the fluid, W denotes the relative velocity of the fluid, and U denotes the blade the velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If V2 = W1 and V1 = W2, then the degree of reaction i Make sure you know which way the fluid is coming in and which way the trubine/pump blade is rotating. Now imagine yourself on a bike, riding into the sunset when there is no wind. You feel the wind blowing on your face. So although you are the o.. Unit V Hydraulic Turbines Classification of hydraulic turbines - Pelton wheel - Francis turbine - Kaplan and Propeller turbines - Velocity triangles - Specific speed - Theory of draft tube - Governing - Performance characteristics - Selection of turbines. Text Books 1 Velocity Diagram For Kaplan turbine ������1 = U2 Vf1 = Vf2 Also ß =900 because of radial flow at outlet. Vf2=V2 & Vw2=0 26. Design Principle 27. Main dimension of a Kaplan turbine The Kaplan Bulb Turbine is a double-regulated turbine, and is most suitable for large flow and low head situations

A new type turbine which can be called contra-rotating Kaplan turbine has been designed in this paper. This new turbine, which can make power on both directions of the water flow, is mainly used. A : Kaplan turbine B : Propeller C : Francis turbine D : Pelton wheel. Answer:-B : Propeller. Q.no 7. In a velocity triangle absolute velocity at inlet V1 has two components, Vf1 and _____ A : Vf2 B : Vw1 C : Vw2 D : Vri. Answer:-B : Vw1. Q.no 8. Francis turbine is A : A reaction radial flow turbine B : An axial flow turbine C : A radial flow.

the turbine's rotational speed (N), Discharge rate (Q̇). 4 2) NQ gH S V II. DESIGN OF TURBINE BLADE For the purpose of this study a Kaplan Turbine installed inside a run -off the river based Hydropower Plant is considered the head (H) of 4.2 m and discharge (Q̇) of 40 m3s-1. A. Diameter & Rotational Spee 9.10.1 Velocity Triangle for Kaplan Turbine. Area of flow at inlet, where D 0 is outer diameter of runner and D b is hub diameter. Velocity of flow at inlet = Velocity of flow at outlet. i.e., V f1 = V f2. Peripheral velocity at inlet and outlet are equal, Discharge through runner 4. Write short notes on capitation in reaction turbines and its control. 5. Give comparition between inward flow and outward flow reaction turbine. 6. Write short notes on Kaplan turbine. 7. Draw a neat sketch of Kaplan turbine and name the parts. 8. With a help of sketch explain the governing of Francis turbine. 9

### Design and cost analysis of fish friendly kaplan tubine: A

Francis Turbine Velocity triangle Diagram : The majority of the Francis turbines are inward radial flow type and most preferred for medium heads. The inward flow turbine has many advantages over the outward flow turbine as listed below : 1. The chances of eddy formation and pressure loss are reduced as the area of flow becomes gradually convergent (5) Velocity of water at outlet of runner is very high (3-15% of net working head, for high specific speed it is 45% in case of kaplan turbine), by employing draft tube recovers this wasted KE is utilized which increases efficiency of the turbine. (6) Prevent splashes of water coming out of the runner . Prevent possibility of flow separation.

The centrifugal force on the inward moving bod y of water decreases the relative velocity and thus the speed of the turbine can be controlled easil y. The main component parts of a reaction turbine are: (1) Casing, (2) Guide vanes (3) Runner with vanes (4) Draft tube Casing : This is a tube of decreasing cross -sectional area with the axis of. The velocity triangles at inlet and outlet are drawn as shown in figure. Where, is the velocity of flow at inlet, it varies from 0.15 to 0.3. Comparison of Francis turbine and Kaplan turbine. Francis Turbine Kaplan Turbine; Normal range of head:30-550m

1. Velocity of jet . at inlet where Cv = coefficient of velocity = 0.98-0.99. 2. Velocity of wheel. where φ is the speed ratio = 0.43-0.48. 3. Angle of deflection . is 165° unless mentioned. 4. Pitch or mean diameter. D can be expressed by . 5. Jet ratio ( 12 in most cases/calculate), d = nozzle diameter . 6. Number of bucke w1=v1- U w2 v2 Velocity triangles of Pelton turbine 0,90 0,90 0,90 22 22 22 u u u vrunnerslow vrunnermedium vrunnerfast 6. kaplan turbine AwanKhadka2. 5. francis turbine AwanKhadka2. 3. water turbine (intro) AwanKhadka2. 2. hydroelectric plant.

### Kaplan Turbine: Definition, Parts, Working, Applications

At the outlet tip, any one of the three velocity triangles is possible. Depending upon the magnitude of u1 corresponding to which it is a slow, medium, or fast runner. As the inlet and the outlet tip of the bucket are at the same radial distance, the tangential velocity of the bucket at both the tips is the same i.e u1=u2 Kaplan Turbine. Pelton wheels are the preferred turbine for hydro-power when the available water source has a relatively high hydraulic head at low flow rates. Pelton wheels are made in all sizes. For maximum power and efficiency, the wheel and turbine system is designed such that the water jet velocity is twice the velocity of the rotating buckets If the bucket is brought to rest, then the relative fluid velocity, w1, is given by Figure 5(b): Velocity triangles Figure 5(a): Flow deflection 1 1 w c u 12/27/20 17 The angle turned through by the jet in the horizontal plane during its passage over the bucket surface is α and the relative velocity at exit is w 2 Hydraulic turbines can be made that are almost completely axial flow, the runner taking the form of vanes perpendicular to the axis, well-described by the term propeller turbines. An example is the Kaplan turbine, invented by Victor Kaplan (1876-1934) and first put into service in 1912-13, with movable blades that rotate, or feather, to. speed, and high-speed turbines, where the situation is reversed. Here, n is the rotational speed, Q the ﬂ ow rate and H the head of the water turbine. The ratios are made clear in the velocity triangle. The following list shows the velocity triangles for the inlet side of the rotor. c 1 is the absolute velocity, w the relative velocity of th

absolute velocity acceleration head air vessel axial-flow blade angle bucket Calculate capacity cavitation centrifugal pump characteristics coefficient component constant cylinder delivery pipe delivery stroke Deriaz turbine dimensional analysis discharge Q draft tube Ë Á ˆ Ê Ë ÊËÁ ˆ equation EXAMPLE exit factor fluid Francis turbine. Francis Turbine - Parts, Working, Efficiency, Applications. Francis turbine, as the name suggests, came from James B. Francis, who has developed it. This turbine is basically combined with the radial flow and axial flow concepts. We will learn here the details of this turbine, its working principle, parts, advantages, disadvantages, etc

6. Turbine | Axial Flow Turbine - Kaplan This video lecture discusses the working of Kaplan turbine which includes: Main Components of the Kaplan Turbine; Velocity triangle at inlet and outlet of the vane; Design Aspects; and Numerica A Kaplan turbine works under a head of 60 m at a speed of 145 rpm utilizing 175 m 3 /s of water. The diameter of the runner and hub are respectively 5.60 m and 3.20 m. the turbine develops 82500 kW. Find: (i) the flow ratio, (ii) the speed ratio, (iii) the overall efficiency and (iv) specific speed The Francis turbine is a type of water turbine.It is an inward-flow reaction turbine that combines radial and axial flow concepts. Francis turbines are the most common water turbine in use today, and can achieve over 95% efficiency. The process of arriving at the modern Francis runner design took from 1848 to approximately 1920. It became known as the Francis turbine around 1920, being named. Grant Ingram's University Website. am currently Associate Professor in Thermodynamics and Fluid Mechanics in the Dpeartment of Engineering at Durham University. I have published an electronic book about turbomachinery which you can download at no cost from bookboon.com. I was also delighted to win the PE Publishing Prize for the best paper. Design of Blades for Kaplan Turbine P M V Subbarao Professor Mechanical Engineering Department Three Dimensional Aerofoil Foils . Hydrodynamics of Kaplan Blade - A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow.com - id: 3cd133-N2Fh

Turbo Machines Assignment Help. Introduction. System-- 2 Energy Transfer in Turbo Machines: Euler's Turbine formula, Alternate type of Euler's turbine formula-- parts of energy transfer; Degree of response, Utilization element, Vane effectiveness, Relation in between usage aspect and Degree of response, Axial circulation steam turbines - Velocity diagram for various worths of degree of. Description: Pre-requisite: Fluid Mechanics I or Equivalent Viscous flows- Demonstration of simple analytical approach, channel flow, entrance length, fully-developed flow, friction factor and head losses, Darcy-Weisbach equation, basic introduction to turbulent flows, Boundary Layer Theory; Derivation of Boundary Layer equation and thin shear layer approximation, Order of magnitude analysis. Classifications, Francis, Propeller, Kaplan Turbines, construction features, velocity diagrams and analysis, degree of reaction, performance characteristics. Draft tubes: types and analysis, causes and remedies for cavitation phenomenon Governing of turbines, Similitude and dimensional analysis of hydraulic turbines Velocity triangles at runner exit (a) part load (b) best efficiency point and (c) full load. The U9 Kaplan turbine model comprises 20 stationary guide vanes and 6 rotating blades (696.3 RPM. kaplan turbine velocity diagrams questions and answers, me6 thermal engineering unit iii nozzles turbines amp steam, turbomachinery design and velocity triangles for turbine and compressor, comparison between impulse turbine and reaction turbine, theory of turbo machinery turbomaskinerna

### How to draw a velocity triangle for various pumps or

Kaplan turbine. Jebba, Nigeria *Q = 376 m3/s *H = 27,6 m *P = 96 MW D0 = 8,5 m De = 7,1 m Di = 3,1 m B0 = 2,8 m. Machicura, CHILE *Q = 144 m3/s *H = 36,7 m *P = 48 MW D0 = 7,2 m De = 4,2 m Di = 1,9 m B0 = 1,3 m. Outlet draft tube velocity δ v∞. Pressure distribution and. the Kaplan or propeller type, which is an axial-ﬂow machine. In the sections that follow, each type of hydraulic turbine will be studied separately in terms of the velocity triangles, efﬁciencies, reaction, and method of operation. 3.2 PELTON WHEEL An American Engineer Lester A. Pelton discovered this(Fig. 3.1)turbine in 1880

- Velocity triangles of the radial turbine runner. The hydraulic design of the turbine itself ca n be co n- The U9 Kaplan turbine prototype located in Porjus and its model, located in. 1 VELOCITY TRIANGLES, WORKDONE, EFFICIENCY OF PELTON . WHEEL INLET AND OUTLET VECTOR DIAGRAMS . Let V = Velocity of the jet . A Kaplan turbine is an axial flow reaction turbine which was developed by Austrian engineer V. Kaplan. It is suitable for relatively low heads. Hence, it requires a large quantity of water to develop large power 3 x 86.5 MW Kaplan turbines at a head of 16.2 m. 2010 Embretsfoss IV, Norway: Kaplan turbine with an output of 49.5 MW at a head of 16 m. 2011 Budarhals, Iceland: 2 x 40.1 MW Kaplan turbines at a head of 36.2 m. 2011/ Saratovskaya, Russia: 2012 Modernization and uprating of 9 Kaplan turbines with an output of 68 MW with a runner diameter of 10.3 m parameters at inlet and exit of ru nner blade with velocity triangles ar e defined in Fig.1. The the performance of existing Francis and Kaplan turbine is compared for their local and global.

However, for reaction turbines discharge is the product of area and velocity of flow. At same gate opening area is same then Q is directly proportional to V f. So as speed(N) increases V f also increases in order to keep triangle similar and hence discharge Q. 21 Pelton Turbine Kaplan Turbine velocity triangles at inlet and exit of turbine runner, shown in figure (3). Figure (3) velocity triangle V1, V2 Absolute velocities at inlet and outlet. Vr1, Vr2 Relative velocities at inlet and outlet. u1, u2 Tangential velocities at inlet and outlet. Vu1, Vu2 Tangential component of absolute velocities at inlet and outlet

The inlet velocity triangle The outlet velocity triangle At the inlet there is no component of absolute velocity in the direction of rotation; at the outlet this component is not zero. That is, the blade pushes and turns the fluid in the direction of the blade motion, thereby doing work on the fluid. ÆThis device is a pump (ii) There is less resistance offered as the number of vanes are fewer in Kaplan turbine (in) Specific speed range 250-850 m Kaplan turbine In Francis turbine specific speed range is 5o250. Q. 3. Draw velocity triangles at inlet and outlet of typical Francis turbine vane. Ans     The velocity triangle are shown in table 2. Whre u is the tangential velocity, c is the absolute velocity and w is the relative velocity. When a cylindrical cut is set a the runner and the cut is develoved into a drawing plane, a grating like that shown table 2 occurs. In this figure, x represen absolute velocity aerofoil angular geometry given Guide Vane Exit h-s diagram hydraulic machines hydraulic turbines impulse blading inlet and exit isentropic Kaplan Turbine kJ/kg lift force enthalpy stator stator exit steam turbine temperature tip speed ratio total head turbine blades turbomachine turbomachinery vector velocity triangle. Turbines are the most important component of any hydro power plant. They cover about 15-35 percent of the total project cost. Kaplan micro hydro turbine can produce power with as little as 1ft of water head level. At 10ft of head the turbine will produce 1000 watts of power and use 1000gpm of flow. The Kaplan turbine is a reaction turbine.