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Lecture 3 - Fluid Dynamics and Balance Equations
Lecture 3 - Fluid Dynamics and Balance Equations

... • Let us consider a general quantity per unit volume f(x, t). Its integral over the finite volume V, with the time-independent boundary A is given by ...
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... The total response is equal to the sum of the allowed characteristic solutions (eigenfunctions or modes). The contribution of each mode is given by its amplitude, An. Each mode decays with a characteristic decay time constant, αn. Overall response to a input, S(t), may be obtained by convolution. ...
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... Heat transfer has the units of energy measured in joules (we will use kilojoules, kJ) or the units of energy per unit mass, kJ/kg. Since heat transfer is energy in transition across the system boundary due to a temperature difference, there are three modes of heat transfer at the boundary that depen ...
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... Analyze: The standard enthalpy of formation is represented by a reaction in which each reactant is an element in its standard state and the product is one mole of the compound. Plan: To solve these problems, we need to examine each equation to determine, first of all, whether the reaction is one in ...
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... • The classical curves closely match the quantum mechanical view at radio frequencies • Radio astronomers equate the energy coming from a radio source with a temperature • NOTE: The object is not necessarily a blackbody at that temperature! Scientists would use other spectral information to determin ...
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Mechanisms of Heat Transfer

... • The classical curves closely match the quantum mechanical view at radio frequencies • Radio astronomers equate the energy coming from a radio source with a temperature • NOTE: The object is not necessarily a blackbody at that temperature! Scientists would use other spectral information to determin ...
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... 2. (5 pt) Uniform (one-dimensional) flow implies that fluid properties are the same/different across any inlets or outlets for a steady-flow system. 3. (10pt) The mass balance for a uniform-flow, single-stream steady-state system can be written as A1V1 /v1 = A2V2 /v2? True/false 4. (10 pt) In a ste ...
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... The cycle starts where you take a mass of cold air in a piston, compress it adiabatically. Since the temperature is low, then the pressure will be low, and it doesn’t take much work to compress it. Then you add heat to the compressed gas, increasing its temperature substantially. Now the pressure is ...
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Heat equation



The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.
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