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A Bonneville Dam Kaplan turbine after 61 years of service. The Kaplan turbine is a propeller-type water turbine which has adjustable blades. It was developed in 1913 by Austrian professor Viktor Kaplan, [1] who combined automatically adjusted propeller blades with automatically adjusted wicket gates to achieve efficiency over a wide range of flow and water level.
A Kaplan turbine has fewer runner blades than a Francis turbine because a Kaplan turbine's blades are twisted and cover a larger circumference. Friction losses in a Kaplan turbine are less. The shaft of a Francis turbine is usually vertical (in many of the early machines it was horizontal), whereas in a Kaplan turbine it is always vertical. A ...
With the help of these equations the head developed by a pump and the head utilised by a turbine can be easily determined. As the name suggests these equations were formulated by Leonhard Euler in the eighteenth century. [1] These equations can be derived from the moment of momentum equation when applied for a pump or a turbine.
Specific speed N s, is used to characterize turbomachinery speed. [1] Common commercial and industrial practices use dimensioned versions which are of equal utility. Specific speed is most commonly used in pump applications to define the suction specific speed —a quasi non-dimensional number that categorizes pump impellers as to their type and proportions.
After the success of the first Kaplan turbines they started being used worldwide and remain one of the most widely used kinds of water turbines. In 1926 and 1934 Kaplan received honorary doctorates. He died of a stroke in 1934 at Unterach am Attersee, Austria. Kaplan was honored and featured on the 1000 Austrian schilling banknote in 1961.
The concept of parent function is less clear or inapplicable polynomials of higher degree because of the extra turning points, but for the family of n-degree polynomial functions for any given n, the parent function is sometimes taken as x n, or, to simplify further, x 2 when n is even and x 3 for odd n. Turning points may be established by ...
A turbine map [1] shows lines of percent corrected speed (based on a reference value) plotted against the x-axis which is pressure ratio, but deltaH/T (roughly proportional to temperature drop across the unit/component entry temperature) is also often used. The y-axis is some measure of flow, usually non-dimensional flow or corrected flow, but ...
Originally, wind turbines were fixed speed. This has the benefit that the rotor speed in the generator is constant, so that the frequency of the AC voltage is fixed. This allows the wind turbine to be directly connected to a transmission system. However, from the figure above, we can see that the power coefficient is a function of the tip-speed ...
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