Energy Equation
Energy Equation - Related Videos
01:04
Application of the Energy Equation
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2025
The application of the energy equation to centrifugal pumps is a fundamental principle in fluid dynamics and engineering. In this scenario, the energy equation is used to calculate the flow rate of a centrifugal pump responsible for transferring water between two reservoirs at different elevations. The pump applies an energy input of 7500 joules per second, and the vertical difference between the lower and upper reservoirs is 10 meters. Additionally, the head loss due to friction and other...
01:16
Energy Conservation and Bernoulli's Equation
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2025
Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline. All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
02:59
The Nernst Equation
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2020
Nonstandard Reaction Conditions The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous. Discharge of this cell, however, results in a change in the reactant concentration and a steady decrease of the cell potential. At...
08:52
Energy and Work
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2023
Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA This experiment demonstrates the work-energy principle. Energy is one of the most important concepts in science and is not simple to define. This experiment will deal with two different kinds of energy: gravitational potential energy and translational kinetic energy. Gravitational potential energy is defined as the energy an object...
03:18
Radioactivity and Nuclear Equations
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2020
Nuclear chemistry is the study of reactions that involve changes in nuclear structure. The nucleus of an atom is composed of protons and, except for hydrogen, neutrons. The number of protons in the nucleus is called the atomic number (Z) of the element, and the sum of the number of protons and the number of neutrons is the mass number (A). Atoms with the same atomic number but different mass numbers are isotopes of the same element. A nuclide of an element has a specific number of protons and...
FAQs
The balance separates energy stored within a system into internal, kinetic, and potential contributions. Internal energy reflects the system’s thermodynamic state, while kinetic and potential terms represent motion and position. Evaluating how each contribution changes helps engineers determine whether observed energy differences result from storage changes, boundary interactions, or transformations within the process.
Mass crossing a control-volume boundary carries energy with it, so inlet and outlet streams must be included in the balance. Comparing these flows with heat transfer, work, and changes in stored energy reveals how equipment processes energy continuously. This treatment is particularly important when analyzing fluid systems rather than isolated, fixed-mass systems.
The Bernoulli equation represents a simplified form of the broader balance, applicable only when the assumptions needed for that reduction are appropriate. Engineers therefore compare the actual system with those assumptions before using it. This distinction prevents an oversimplified analysis from overlooking relevant heat transfer, work, energy storage, or loss effects in a fluid process.
Energy losses appear through the difference between energy entering a system and the useful energy available at the outlet or for storage. Accounting for these differences allows engineers to identify losses rather than treating them as unexplained discrepancies. That information supports performance evaluation and helps reveal where a pipeline, pump, turbine, or related process requires improvement.
Engineers first define the system or control volume and identify its boundaries. They then account for entering and leaving mass, heat transfer, work, and changes in internal, kinetic, and potential energy. After selecting appropriate assumptions, they solve the resulting balance and compare predicted performance with the requirements of the process or equipment.
For fluid equipment, the balance connects energy supplied or removed with changes in flow behavior and system performance. Engineers can use it to evaluate pipelines, determine how pumps affect a system, and assess turbine operation. The resulting analysis supports equipment sizing, performance prediction, and identification of energy losses across the installation.
Thermal systems require simultaneous consideration of heat transfer, work, mass flow, and stored energy. Applying the balance gives engineers a framework for examining how these interactions affect process performance. It is therefore useful for analyzing heat exchangers and other thermal technologies, where energy may enter, leave, accumulate, or change form during operation.
A completed balance can show how much energy enters and leaves, how much is stored or transformed, and where losses reduce useful performance. Engineers use these results to size equipment and assess whether a proposed design meets its intended requirements. The same information also supports comparison of alternative pipeline, fluid, and thermal system configurations.