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- Lumped_capacitance_model abstract "A lumped capacitance model, also called lumped system analysis, reduces a thermal system to a number of discrete “lumps” and assumes that the temperature difference inside each lump is negligible. This approximation is useful to simplify otherwise complex differential heat equations. It was developed as a mathematical analog of electrical capacitance, although it also includes thermal analogs of electrical resistance as well.The lumped capacitance model is a common approximation in transient conduction, which may be used whenever heat conduction within an object is much faster than heat transfer across the boundary of the object. The method of approximation then suitably reduces one aspect of the transient conduction system (spatial temperature variation within the object) to a more mathematically tractable form (that is, it is assumed that the temperature within the object is completely uniform in space, although this spatially uniform temperature value changes over time). The rising uniform temperature within the object or part of a system, can then be treated like a capacitative reservoir which absorbs heat until it reaches a steady thermal state in time (after which temperature does not change within it). An early-discovered example of a lumped-capacitance system which exhibits mathematically simple behavior due to such physical simplifications, are systems which conform to Newton's law of cooling. This law simply states that the temperature of a hot (or cold) object progresses toward the temperature of its environment in a simple exponential fashion. Objects follow this law strictly only if the rate of heat conduction within them is much larger than the heat flow into or out of them. In such cases it makes sense to talk of a single "object temperature" at any given time (since there is no spatial temperature variation within the object) and also the uniform temperatures within the object allow its total thermal energy excess or deficit to vary proportionally to its surface temperature, thus setting up the Newton's law of cooling requirement that the rate of temperature decrease is proportional to difference between the object and the environment. This in turn leads to simple exponential heating or cooling behavior (see below for detail).".
- Lumped_capacitance_model wikiPageID "28319250".
- Lumped_capacitance_model wikiPageRevisionID "596795944".
- Lumped_capacitance_model hasPhotoCollection Lumped_capacitance_model.
- Lumped_capacitance_model subject Category:Heat_conduction.
- Lumped_capacitance_model subject Category:Heating,_ventilating,_and_air_conditioning.
- Lumped_capacitance_model comment "A lumped capacitance model, also called lumped system analysis, reduces a thermal system to a number of discrete “lumps” and assumes that the temperature difference inside each lump is negligible. This approximation is useful to simplify otherwise complex differential heat equations.".
- Lumped_capacitance_model label "Lumped capacitance model".
- Lumped_capacitance_model label "Modelo discreto de capacitância".
- Lumped_capacitance_model sameAs Modelo_discreto_de_capacitância.
- Lumped_capacitance_model sameAs m.0cnxqrq.
- Lumped_capacitance_model sameAs Q6703411.
- Lumped_capacitance_model sameAs Q6703411.
- Lumped_capacitance_model wasDerivedFrom Lumped_capacitance_model?oldid=596795944.
- Lumped_capacitance_model isPrimaryTopicOf Lumped_capacitance_model.