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Chemical law
Piobert's law applies to the reaction of solid propellant grains to generate hot gas. It is stated: "Burning takes place by parallel layers where the
Piobert's_law
Physical law for entropy and heat
The second law of thermodynamics is a physical law based on universal empirical observation concerning heat and energy interconversions. A simple statement
Second_law_of_thermodynamics
Law of thermodynamics establishing the conservation of energy
The first law of thermodynamics is a formulation of the law of conservation of energy in the context of thermodynamic processes. For a thermodynamic process
First_law_of_thermodynamics
Observational basis of thermodynamics
the first law, the second law, and the third law. A more fundamental statement was later labelled as the zeroth law after the first three laws had been
Laws_of_thermodynamics
Equation of the state of a hypothetical ideal gas
combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law is often written in an empirical form:
Ideal_gas_law
Type of propellant
shapes to physically control rate of gas production in accordance with Piobert's law. Shotgun and handgun propellants may be flakes, while Improved Military
Firearm_propellant
Physical law for definition of temperature
law. The law was established by Ralph H. Fowler in the 1930s, long after the first, second, and third laws had been widely recognized. The zeroth law
Zeroth_law_of_thermodynamics
Type of energy transfer
d S ≥ δ Q (second law) . {\displaystyle T_{surr}\,\mathrm {d} S\geq \delta Q\quad {\text{(second law)}}\,.} which is the second law of thermodynamics
Heat
Law of physics
The third law of thermodynamics states that the entropy of a closed system at thermodynamic equilibrium approaches a constant value when its temperature
Third_law_of_thermodynamics
Parameter used to calculate the volume change of a fluid or solid in response to pressure
the compressibility factor Z is equal to unity, and the familiar ideal gas law is recovered: p = R T V m {\displaystyle p={\frac {RT}{V_{m}}}} Z can, in
Compressibility
Thermodynamic cycle
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Miller_cycle
Thermodynamic potential
which temperature replaces entropy as the independent variable. The first law of thermodynamics in a closed system provides d U = δ Q + δ W , {\displaystyle
Helmholtz_free_energy
Thermodynamic process in which temperature remains constant
special interest for ideal gases. This is a consequence of Joule's second law which states that the internal energy of a fixed amount of an ideal gas depends
Isothermal_process
Physical quantity
work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but
Energy
Unsteady state combustion process
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Pressure_gain_combustion
Study of the relations between thermodynamics and quantum mechanics
Currently quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. It differs from quantum statistical mechanics in
Quantum_thermodynamics
Force distributed over an area
pressure. Boyle's law – Relation between gas pressure and volume Combined gas law – Combination of Charles', Boyle's and Gay-Lussac's gas laws Conversion of
Pressure
Absorption refrigerator invented in 1930
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Einstein_refrigerator
Maximum attainable efficiency of any heat engine
Carnot's theorem, also called Carnot's rule or Carnot's law, is a principle of thermodynamics developed by Nicolas Léonard Sadi Carnot in 1824 that specifies
Carnot's theorem (thermodynamics)
Carnot's_theorem_(thermodynamics)
Thermodynamic quantity
const. {\displaystyle PV^{\gamma }={\text{const.}}} Using the ideal gas law, P V = n R T {\displaystyle PV=nRT} : P 1 − γ T γ = const. {\displaystyle
Heat_capacity_ratio
Property of a thermodynamic system
transmission of information in telecommunication. Entropy is central to the second law of thermodynamics, which states that the entropy of an isolated system left
Entropy
Heat exchanged by a body or thermodynamic system
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Sensible_heat
Physics of heat, work, and temperature
and radiation. The behavior of these quantities is governed by the four laws of thermodynamics, which convey a quantitative description using measurable
Thermodynamics
Type of firearm propellant
exposed surface to the interior of each solid particle in accordance with Piobert's law. Studies of solid single- and double-base propellant reactions suggest
Smokeless_powder
magnetic systems entails expressing the behavior of the systems using the Laws of Thermodynamics. Common magnetic systems examined through the lens of Thermodynamics
Magnetic Thermodynamic Systems
Magnetic_Thermodynamic_Systems
Concept in general relativity and quantum field theory
properties of black holes that stands in direct relationship to classical laws of thermodynamics. The equivalence is developed by replacing entropy with
Black_hole_thermodynamics
Thermodynamic process in which no mass or heat is exchanged with surroundings
thermodynamics, the adiabatic process supports the theory that explains the first law of thermodynamics. The opposite term to "adiabatic" is diabatic. Some chemical
Adiabatic_process
Idealized thermodynamic cycle
Company. ISBN 978-0-7167-1088-2. Kostic, M (2011). "Revisiting The Second Law of Energy Degradation and Entropy Generation: From Sadi Carnot's Ingenious
Carnot_cycle
William Phillips (economist) Pigou effect – Arthur Cecil Pigou Piobert's law – Guillaume Piobert (1793–1871) Pisot–Vijayaraghavan number – Charles Pisot and
Scientific phenomena named after people
Scientific_phenomena_named_after_people
Physical property of matter
the work done and the change in internal energy, according to the first law of thermodynamics. The heat capacity is called C p {\displaystyle C_{p}}
Heat_capacity
Tendency of matter to change volume in response to a change in temperature
temperature. For a gas of low density this can be seen from the ideal gas law. This section summarizes the coefficients for some common materials. For
Thermal_expansion
Thermodynamic process
{\displaystyle n=+\infty } for an isochoric process. In addition, when the ideal gas law applies: n = 1 {\displaystyle n=1} for an isothermal process, n = γ {\displaystyle
Polytropic_process
Body of matter in a state of internal equilibrium
and/or radiation separate from its surroundings that can be studied using the laws of thermodynamics. Thermodynamic systems can be passive and active according
Thermodynamic_system
Engine combustion process
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Diesel_cycle
Thermodynamic cycle that includes the basic Stirling engine
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Stirling_cycle
Volume of fluid which passes per unit time
rate across a unit area is called volumetric flux, as defined by Darcy's law and represented by the symbol q. Conversely, the integration of a volumetric
Volumetric_flow_rate
Measure of energy in a thermodynamic system
for dH of the simplest form, derived as follows. We start from the first law of thermodynamics for closed systems for an infinitesimal process: d U =
Enthalpy
Thermodynamic process with no change in enthalpy
{\displaystyle dh=0=nc_{p}\,dT} . Adiabatic process Joule–Thomson effect Ideal gas laws Isentropic process G. J. Van Wylen and R. E. Sonntag (1985), Fundamentals
Isenthalpic_process
Type of thermodynamic potential
temperature, and S {\displaystyle S} is entropy. According to the second law of thermodynamics, for systems reacting at fixed temperature and pressure
Gibbs_free_energy
Physical quantity of hot and cold
approached very closely but not actually reached, as recognized in the third law of thermodynamics. It would be impossible to extract energy as heat from
Temperature
Function describing equilibrium states of a system
variable as the state function at that state. The ideal gas law is a good example. In this law, one state variable (e.g., pressure, volume, temperature,
State_function
Partial differential relations in thermodynamics
the Gibbs equations. Extended derivation Combined form first and second law of thermodynamics, U, S, and V are state functions. Let, U = U ( x , y )
Maxwell_relations
Mathematical models of heat pumps and refrigeration
move heat from a colder place to a warmer place. According to the second law of thermodynamics, heat cannot spontaneously flow from a colder location
Heat pump and refrigeration cycle
Heat_pump_and_refrigeration_cycle
Mathematical model which approximates the behavior of real gases
interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical
Ideal_gas
State function whose change relates to the system's maximal work output
course of such work. Since first-law energy is always conserved, it is evident that free energy is an expendable, second-law kind of energy. Several free
Thermodynamic_free_energy
Thermodynamic phase transition energy
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Latent_heat
According to van der Waals, the theorem of corresponding states (or principle/law of corresponding states) indicates that all fluids, when compared at the
Theorem of corresponding states
Theorem_of_corresponding_states
Model that is used to predict the performance of steam turbine systems
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Rankine_cycle
State variables for near-critical fluids
"pseudo-reduced specific volume") of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature: v r = v p c R T c {\displaystyle
Reduced_properties
Equations in thermodynamics
Thermodynamics is based on a fundamental set of postulates, that became the laws of thermodynamics. One of the fundamental thermodynamic equations is the
Thermodynamic_equations
System that converts heat or thermal energy to mechanical work
associated with the expansion and compression of gases according to the gas laws or the properties associated with phase changes between gas and liquid states
Heat_engine
Properties independent of system size, and proportional to system size
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Intensive and extensive properties
Intensive_and_extensive_properties
Thermodynamic process of a closed system in which volume remains constant
volume constant thermodynamic process. For a reversible process, the first law of thermodynamics gives the change in the system's internal energy: d U =
Isochoric_process
Thermodynamic cycle
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Atkinson_cycle
Technique for cooling gases
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Regenerative_cooling
Heat required to raise the temperature of a given unit of mass of a substance
integral not to yield an infinite absolute entropy, thus violating the third law of thermodynamics. One of the strengths of the Debye model is that (unlike
Specific_heat_capacity
Thermodynamic process that is reversible and adiabatic
addition to a process which is both adiabatic and reversible. The second law of thermodynamics states that T surr d S ≥ δ Q , {\displaystyle T_{\text{surr}}dS\geq
Isentropic_process
Type of thermodynamic cycle
have so called ideal efficiency, which is the highest allowed by the second law of thermodynamics. The most well-known ideal cycle is the Carnot cycle, although
Ericsson_cycle
State of thermodynamic systems where no net flow of matter or energy occurs
"law," it is an axiom of thermodynamics that there exist[clarification needed] states of thermodynamic equilibrium[citation needed]. The second law of
Thermodynamic_equilibrium
Propellants
cylinders with longitudinal perforations to decompose in accordance with Piobert's law. If all external surfaces of the grain are ignited simultaneously, the
Improved military rifle powder
Improved_military_rifle_powder
Field of scientific study
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Equilibrium_thermodynamics
Study of the propulsion of a projectile
to the surface area of burning propellant grains in accordance with Piobert's Law. Smokeless propellant reactions occur in a series of zones or phases
Internal_ballistics
Equations on thermodynamic quantities
another. The above derivation uses the first and second laws of thermodynamics. The first law of thermodynamics is essentially a definition of heat, i
Fundamental thermodynamic relation
Fundamental_thermodynamic_relation
Thermodynamic cycle
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Brayton_cycle
distribution are below. For quasi-static and reversible processes, the first law of thermodynamics is: d U = δ Q − δ W {\displaystyle dU=\delta Q-\delta W}
Table of thermodynamic equations
Table_of_thermodynamic_equations
Thermodynamic process
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Quasistatic_process
Imaginary volume through which a substance's flow is modeled and analyzed
of the free body diagram. Typically, to understand how a given physical law applies to the system under consideration, one first begins by considering
Control_volume
Paper by Josiah Willard Gibbs
monumental, densely woven, 300-page treatise, the first law of thermodynamics, the second law of thermodynamics, the fundamental thermodynamic relation
On the Equilibrium of Heterogeneous Substances
On_the_Equilibrium_of_Heterogeneous_Substances
Thermodynamic cycle for spark ignition piston engines
in the system (mass of gas) can be neglected and then applying the first law of thermodynamics (energy conservation) to the mass of gas as it changes
Otto_cycle
Energy contained within a system
first law of thermodynamics. Without a thermodynamic process, the internal energy of an isolated system does not change, as expressed in the law of conservation
Internal_energy
Process whose direction can be reversed
Reversible processes are hypothetical or idealized but central to the second law of thermodynamics. Melting or freezing of ice in water is an example of a
Reversible process (thermodynamics)
Reversible_process_(thermodynamics)
directly from the thermodynamic equation of state if we use the ideal gas law p V = n R T {\displaystyle pV=nRT} . We have π T = T ( ∂ p ∂ T ) V − p =
Internal_pressure
Measure of temperature relative to absolute zero
law of thermodynamics Freezing Gas laws International System of Quantities International Temperature Scale of 1990 (ITS-90) Ideal gas law Kelvin Laws
Thermodynamic_temperature
Idealized thermodynamic cycle used in engines
in a constant volume manner. This results in the following for the first law of thermodynamics: 1 Q 2 = m c v ( T 2 − T 1 ) {\displaystyle
Lenoir_cycle
Reacting chemical mixture in which the concentrations change periodically
oscillation would violate the second law of thermodynamics. For a thermodynamic system which is not at equilibrium, this law requires that the system approach
Chemical_oscillator
German physicist and physiologist (1821–1894)
others—for the energy conservation principles that eventually led to the first law of thermodynamics, he is credited with the first formulation of the energy
Hermann_von_Helmholtz
Mass fraction of a saturated mixture which is vapor
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Vapor_quality
Quantifiable conditions of a thermodynamic system at a specific time
mostly reliable translation is to be found at Kestin, J. (1976). The Second Law of Thermodynamics, Dowden, Hutchinson & Ross, Stroudsburg PA. Eu, B.C. (2002)
Thermodynamic_state
Interdependence of human economies and natural ecosystems
flows of economic production and consumption. His magnum opus, The Entropy Law and the Economic Process (1971), is credited by Daly as a fundamental text
Ecological_economics
Assembly of heat engines that work in tandem from the same source of heat
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Combined-cycle_power_plant
Gay-Lussac the opportunity to derive his law, which led shortly later to the ideal gas law. Boyle's law (1662) Charles's law was first published by Joseph Louis
History_of_thermodynamics
Refrigerator that uses a heat source
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Absorption_refrigerator
Version of the second law of thermodynamics
system. The Clausius inequality is a consequence of applying the second law of thermodynamics at each infinitesimal stage of heat transfer. The Clausius
Clausius_theorem
Relations between flows and forces, or gradients, in thermodynamic systems
referred to the three laws of thermodynamics and then added "It can be said that Onsager's reciprocal relations represent a further law making a thermodynamic
Onsager_reciprocal_relations
Initial step in the phase transition or molecular self-assembly of a substance
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Nucleation
Branch of thermodynamics
stressed that there is no general law defining stationary non-equilibrium properties of the energy as is the second law of thermodynamics for the entropy
Non-equilibrium thermodynamics
Non-equilibrium_thermodynamics
Type of energy transfer
process in a closed (no transfer of matter) thermodynamic system, the first law of thermodynamics relates changes in the internal energy (or other cardinal
Work_(thermodynamics)
Thermodynamic quantity
exact differential of the volume state function dV = δW/p. The second law of thermodynamics as stated by Carathéodory essentially amounts to the statement
Process_function
Passage of a system from an initial to a final state of thermodynamic equilibrium
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Thermodynamic_process
Equation describing a state of matter under a given set of conditions
Émile Clapeyron combined Boyle's law and Charles' law into the first statement of the ideal gas law. Initially, the law was formulated as pVm = R(TC + 267)
Equation_of_state
Specific mathematical differential form
verbal argument before. Inexact differentials show up explicitly in the first law of thermodynamics, d U = δ Q − δ W {\displaystyle \mathrm {d} U=\delta Q-\delta
Inexact_differential
Thermodynamic cycle converting thermal energy into mechanical power
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Hygroscopic_cycle
Subset of irreversible thermodynamics
semi-ideal heat engine, in which heat transfer takes time, according to Fourier's law of heat conduction: Q ˙ ∝ Δ T {\displaystyle {\dot {Q}}\propto \Delta T}
Endoreversible_thermodynamics
Gas cooling and liquefaction technique
relationship between temperature and pressure (as stated by Gay-Lussac's law). The compressed gas is then cooled by a heat exchanger and decompressed
Siemens_cycle
Thermodynamic process in which pressure remains constant
positive work is work done by the system. Using this convention, by the first law of thermodynamics, Q = Δ U + W {\displaystyle Q=\Delta U+W\,} where W is
Isobaric_process
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Vuilleumier_cycle
Performance measure of a device that uses thermal energy
{\text{benefit}}{\text{cost}}}.} From the first law of thermodynamics, the energy output cannot exceed the input, and by the second law of thermodynamics it cannot be
Thermal_efficiency
Process that cannot be undone or reversed
increases the total entropy of the system and its surroundings. The second law of thermodynamics can be used to determine whether a hypothetical process
Irreversible_process
Variation on the Rankine thermodynamic cycle
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Organic_Rankine_cycle
Graph relating temperature and entropy during a thermodynamic process or cycle
Self-assembly Self-organization Chemical oscillator Volumetric flow rate Piobert's law Ecological economics Magnetic Thermodynamic Systems Category v t e
Temperature–entropy_diagram
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