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Energy Line and Hydraulic Gradient Line01:27

Energy Line and Hydraulic Gradient Line

Based on Bernoulli's equation, the energy line (EL) and hydraulic grade line (HGL) provide graphical representations of energy distribution in a fluid flow system. For steady, incompressible, inviscid flows, Bernoulli's equation is expressed as:
Heat Engines01:10

Heat Engines

A heat engine is a device used to extract heat from a source and then convert it into mechanical work used for various applications. For example, a steam engine on an old-style train can produce the work needed for driving the train.
Whenever we consider heat engines (and associated devices such as refrigerators and heat pumps), we do not use the standard sign convention for heat and work. For convenience, we assume that the symbols Qh, Qc, and W represent only the amounts of heat transferred...
Conservation of Energy in Control Volume01:14

Conservation of Energy in Control Volume

Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
Thermodynamic Potentials01:26

Thermodynamic Potentials

Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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A hydraulic jump is a sudden rise in fluid depth in open channels, occurring when high-velocity (supercritical) flow transitions to low-velocity (subcritical) flow. This phenomenon requires an upstream Froude number greater than 1, as flows with Fr1<1 remain subcritical, making a hydraulic jump impossible due to the need for negative head loss, which violates thermodynamic principles.The characteristics of a hydraulic jump depend on the upstream Froude number and are classified as...
Gradient Fields01:27

Gradient Fields

A gradient field is a vector field derived from a scalar field. A scalar field assigns a single numerical value to every point in space, such as temperature, pressure, or electric potential. The gradient field describes how that value changes from point to point. It gives both the direction of the fastest increase and the rate of change in that direction.For a scalar field f(x, y), the gradient is written as\begin{equation*}\nabla f=\left\langle \jfrac{\partial f}{\partial x},\jfrac{\partial...

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Thermal Limits Determination for Zooplankton Using a Heat Block
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Published on: November 18, 2022

Ocean thermal gradient hydraulic power plant.

E J Beck

    Science (New York, N.Y.)
    |July 25, 1975
    PubMed
    Summary

    Ocean thermal energy conversion (OTEC) harnesses solar energy stored in ocean thermal gradients to generate power. An open-cycle system uses low-pressure steam to lift warm surface water, driving a hydraulic turbine for electricity production, similar to an air-lift pump.

    Area of Science:

    • Renewable Energy
    • Oceanography
    • Thermodynamics

    Background:

    • Oceans store vast amounts of solar energy as thermal gradients.
    • Harnessing this energy offers a sustainable power generation pathway.

    Purpose of the Study:

    • To propose and describe an open-cycle system for generating power from ocean thermal gradients.
    • To introduce a novel device analogous to an air-lift pump for OTEC.

    Main Methods:

    • Utilizing low-pressure steam generated from warm surface water.
    • Employing a system to elevate water using steam.
    • Driving a hydraulic turbine with the elevated water flow.

    Main Results:

    • The proposed system can generate power by exploiting ocean thermal gradients.

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  • The device functions analogously to an air-lift pump, demonstrating feasibility.
  • Conclusions:

    • Open-cycle OTEC systems offer a viable method for converting ocean thermal energy into electricity.
    • The described device provides a practical approach to OTEC power generation.