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  2. Numerical solution of the convection–diffusion equation

    en.wikipedia.org/wiki/Numerical_solution_of_the...

    However, the same mathematical analysis works equally well to other situations like particle flow. A general discontinuous finite element formulation is needed. [1] The unsteady convection–diffusion problem is considered, at first the known temperature T is expanded into a Taylor series with respect to time taking into account its three ...

  3. 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).

  4. Rate of heat flow - Wikipedia

    en.wikipedia.org/wiki/Rate_of_heat_flow

    The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second). Heat is the flow of thermal energy driven by thermal non-equilibrium, so the term 'heat flow' is a redundancy (i.e. a pleonasm). Heat must not be confused with stored thermal energy, and moving a hot ...

  5. Stefan problem - Wikipedia

    en.wikipedia.org/wiki/Stefan_problem

    This is accomplished by solving heat equations in both regions, subject to given boundary and initial conditions. At the interface between the phases (in the classical problem) the temperature is set to the phase change temperature. To close the mathematical system a further equation, the Stefan condition, is required. This is an energy balance ...

  6. Finite volume method for one-dimensional steady state diffusion

    en.wikipedia.org/wiki/Finite_volume_method_for...

    Discretized equation must be set up at each of the nodal points in order to solve the problem. The resulting system of linear algebraic equations Linear equation can then be solved to obtain at the nodal points. The matrix of higher order can be solved in MATLAB. This method can also be applied to a 2D situation.

  7. Heat transfer coefficient - Wikipedia

    en.wikipedia.org/wiki/Heat_transfer_coefficient

    R = Resistance(s) to heat flow in pipe wall (K/W) Other parameters are as above. [16] The heat transfer coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place. The areas for each flow will be different as they represent the contact ...

  8. After Game 1 loss, Heat working to solve difficult math ...

    www.aol.com/news/game-1-loss-heat-working...

    The Heat will spend the next few days in Boston trying to figure out a math problem. After Game 1 loss, Heat working to solve difficult math problem vs. Celtics. Is there a solution?

  9. Duhamel's principle - Wikipedia

    en.wikipedia.org/wiki/Duhamel's_principle

    Intuitively, one can think of the inhomogeneous problem as a set of homogeneous problems each starting afresh at a different time slice t = t 0. By linearity, one can add up (integrate) the resulting solutions through time t 0 and obtain the solution for the inhomogeneous problem. This is the essence of Duhamel's principle.

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