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The LMTD is a steady-state concept, and cannot be used in dynamic analyses. In particular, if the LMTD were to be applied on a transient in which, for a brief time, the temperature difference had different signs on the two sides of the exchanger, the argument to the logarithm function would be negative, which is not allowable.
The number of transfer units (NTU) method is used to calculate the rate of heat transfer in heat exchangers (especially parallel flow, counter current, and cross-flow exchangers) when there is insufficient information to calculate the log mean temperature difference (LMTD). Alternatively, this method is useful for determining the expected heat ...
with a corresponding factor graph shown on the right. Observe that the factor graph has a cycle. If we merge (,) (,) into a single factor, the resulting factor graph will be a tree. This is an important distinction, as message passing algorithms are usually exact for trees, but only approximate for graphs with cycles.
LMTD is just the mean temperature difference (ie, just an arithmetic mean), it just turns out the arithmetic mean using infinitesimal steps has a log in it (see the derivation section)! Calling it a logarithmic mean just confuses the issue and makes it appear more abstract than it actually is. 'F' is a 'correction factor'.
Rita Cosby (born November 18, 1964) is an American television news anchor for Fox, MSNBC and NewsMax, as well as a best selling author. She is a host on the two-hour news show Saturday Report on Newsmax and a special correspondent for the CBS syndicated program Inside Edition, specializing in interviewing newsmakers and political figures.
Chilton–Colburn J-factor analogy (also known as the modified Reynolds analogy [1]) is a successful and widely used analogy between heat, momentum, and mass transfer.The basic mechanisms and mathematics of heat, mass, and momentum transport are essentially the same.
Martha Raddatz (/ ˈ r æ d ɪ t s /; born February 14, 1953) is an American reporter with ABC News.She is the network's Chief Global Affairs Correspondent reporting for ABC's World News Tonight with David Muir, Nightline, and other network broadcasts.
Psychology Today is an American media organization with a focus on psychology and human behavior. The publication began as a bimonthly magazine, which first appeared in 1967. The print magazine's reported circulation is 275,000 as of 2023. [ 2 ]