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  2. Method of dominant balance - Wikipedia

    en.wikipedia.org/wiki/Method_of_dominant_balance

    The Kruskal-Newton diagram facilitates identifying the required scaled functions needed for dominant balance of algebraic and differential equations. [ 5 ] For differential equation solutions containing an irregular singularity , the leading behavior is the first term of an asymptotic series solution that remains when the independent variable z ...

  3. Plug flow reactor model - Wikipedia

    en.wikipedia.org/wiki/Plug_flow_reactor_model

    x is the reactor tube axial position, m; dx the differential thickness of fluid plug; the index i refers to the species i; F i (x) is the molar flow rate of species i at the position x, mol/s; D is the tube diameter, m; A t is the tube transverse cross sectional area, m 2; ν is the stoichiometric coefficient, dimensionless

  4. Pourbaix diagram - Wikipedia

    en.wikipedia.org/wiki/Pourbaix_diagram

    Pourbaix diagram of iron. [1] The Y axis corresponds to voltage potential. In electrochemistry, and more generally in solution chemistry, a Pourbaix diagram, also known as a potential/pH diagram, E H –pH diagram or a pE/pH diagram, is a plot of possible thermodynamically stable phases (i.e., at chemical equilibrium) of an aqueous electrochemical system.

  5. Power-flow study - Wikipedia

    en.wikipedia.org/wiki/Power-flow_study

    In power engineering, the power-flow study, or load-flow study, is a numerical analysis of the flow of electric power in an interconnected system. A power-flow study usually uses simplified notations such as a one-line diagram and per-unit system, and focuses on various aspects of AC power parameters, such as Voltage, voltage angles, real power and reactive power.

  6. Detailed balance - Wikipedia

    en.wikipedia.org/wiki/Detailed_balance

    A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary distribution π that satisfies the detailed balance equations [13] =, where P ij is the Markov transition probability from state i to state j, i.e. P ij = P(X t = j | X t − 1 = i), and π i and π j are the equilibrium probabilities of being in states i and j, respectively ...

  7. Continuity equation - Wikipedia

    en.wikipedia.org/wiki/Continuity_equation

    Other equations in physics, such as Gauss's law of the electric field and Gauss's law for gravity, have a similar mathematical form to the continuity equation, but are not usually referred to by the term "continuity equation", because j in those cases does not represent the flow of a real physical quantity.

  8. NTU method - Wikipedia

    en.wikipedia.org/wiki/NTU_Method

    Here, represents the mass ratio of gas 'x' (meaning mass of gas 'x' relative to the mass of all other non-'x' gas mass) and is the partial pressure of gas 'x'. Using the ideal gas formulation for the mass ratio gives the following definition for the specific mass capacity:

  9. Vapor–liquid equilibrium - Wikipedia

    en.wikipedia.org/wiki/Vapor–liquid_equilibrium

    The mole fraction of component 1 in the mixture can be represented by the symbol x 1. The mole fraction of component 2, represented by x 2, is related to x 1 in a binary mixture as follows: x 1 + x 2 = 1. In multi-component mixtures in general with n components, this becomes: x 1 + x 2 + ⋯ + x n = 1 Boiling-point diagram