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These equations govern the power, efficiencies and other factors that contribute to the design of turbomachines. 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]
Pressure measurements are used to calculate the head of the pump, and a power meter is used to measure input power to the pump. Using the measurements of temperature, power, and pressure, flow can be back-calculated using the pump equation. [4]
In micro Pumped-storage hydroelectricity (PSH), the same pump/PAT could be used for pumping and generating phases [8] by changing rotational direction and speed. The best efficiency point in pumping usually differs from its reverse mode: [3] a variable-frequency drive coupled to the motor/generator would be needed in order to change from pumping to generating mode and to react efficiently to ...
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.
In fluid dynamics, total dynamic head (TDH) is the work to be done by a pump, per unit weight, per unit volume of fluid.TDH is the total amount of system pressure, measured in feet, where water can flow through a system before gravity takes over, and is essential for pump specification.
Example Number 3: A well or bore running at 70 degrees Celsius (158F) with an operating level of 5 metres below the intake, minus a 2 metre friction loss into pump (pipe loss), minus the NPSH R curve (say 2.4 metres) of the pre-designed pump, minus a temperature loss of 3 metres/10 feet = an NPSH A (available) of (negative) -12.4 metres.
Thus, a T-junction (Fig. 3) can be represented by two Bernoulli equations according to two flow outlets. A flow in manifold can be represented by a channel network model. A multi-scale parallel channel networks is usually described as the lattice network using analogy with the conventional electric circuit methods.
Velocity distribution is difficult to calculate due to the lack of knowledge of the velocities of each phase at a single point. There are several ways to model multiphase flow, including the Euler-Langrange method, where the fluid phase is treated as a continuum by solving the Navier-Stokes equations. The dispersed phase is solved by tracking a ...