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  2. Isotope-ratio mass spectrometry - Wikipedia

    en.wikipedia.org/wiki/Isotope-ratio_mass...

    The two most common types of IRMS instruments are continuous flow [7] and dual inlet. In dual inlet IRMS, purified gas obtained from a sample is alternated rapidly with a standard gas (of known isotopic composition) by means of a system of valves, so that a number of comparison measurements are made of both gases. In continuous flow IRMS ...

  3. Energy minimization - Wikipedia

    en.wikipedia.org/wiki/Energy_minimization

    As described above, some method such as quantum mechanics can be used to calculate the energy, E(r) , the gradient of the PES, that is, the derivative of the energy with respect to the position of the atoms, ∂E/∂r and the second derivative matrix of the system, ∂∂E/∂r i ∂r j, also known as the Hessian matrix, which describes the curvature of the PES at r.

  4. Partition function (statistical mechanics) - Wikipedia

    en.wikipedia.org/wiki/Partition_function...

    For simplicity, we will use the discrete form of the partition function in this section. Our results will apply equally well to the continuous form. Consider a system S embedded into a heat bath B. Let the total energy of both systems be E. Let p i denote the probability that the system S is in a particular microstate, i, with energy E i.

  5. Computational fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Computational_fluid_dynamics

    To close the Fanno flow equation, a model for this friction term is needed. Such a closure involves problem-dependent assumptions. [54] Rayleigh flow equation. Consider the flow inside a duct with constant area and either non-adiabatic walls without volumetric heat sources or adiabatic walls with volumetric heat sources. Start with the 1D-EE.

  6. Heat equation - Wikipedia

    en.wikipedia.org/wiki/Heat_equation

    In general, the study of heat conduction is based on several principles. Heat flow is a form of energy flow, and as such it is meaningful to speak of the time rate of flow of heat into a region of space. The time rate of heat flow into a region V is given by a time-dependent quantity q t (V).

  7. Principle of minimum energy - Wikipedia

    en.wikipedia.org/wiki/Principle_of_minimum_energy

    An isolated system has a fixed total energy and mass. A closed system, on the other hand, is a system which is connected to another, and cannot exchange matter (i.e. particles), but can transfer other forms of energy (e.g. heat), to or from the other system.

  8. First law of thermodynamics (fluid mechanics) - Wikipedia

    en.wikipedia.org/wiki/First_law_of...

    In physics, the first law of thermodynamics is an expression of the conservation of total energy of a system. The increase of the energy of a system is equal to the sum of work done on the system and the heat added to that system: = + where is the total energy of a system. is the work done on it. is the heat added to that system.

  9. Flow distribution in manifolds - Wikipedia

    en.wikipedia.org/wiki/Flow_distribution_in_manifolds

    [4] [5] [6] A generalized model of the flow distribution in channel networks of planar fuel cells. [6] Similar to Ohm's law, the pressure drop is assumed to be proportional to the flow rates. The relationship of pressure drop, flow rate and flow resistance is described as Q 2 = ∆P/R. f = 64/Re for laminar flow where Re is the Reynolds number.