(Bug?) HP48 Equation Library
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02-13-2017, 02:50 AM
(This post was last modified: 02-13-2017 02:54 AM by Mark Hardman.)
Post: #7
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RE: (Bug?) HP48 Equation Library
(02-13-2017 01:39 AM)Han Wrote: The "system" in the equation library is literally that one formula. So all on its own, the \( c \) seems extraneous to me. It would look like the inclusion of c in certain beam equations is superfluous--only being used in Simple Deflection and Simple Slope. (02-13-2017 01:39 AM)Han Wrote: EDIT2: Ok, so it looks like the \( f \) in the first formula is FANNING(\(\epsilon / D, Re\) ) where the Reynolds constant is calculated as \( Re = D\cdot v_\text{avg} \cdot \rho / \mu \). The manual says that the Fanning function essentially uses two formulas depending on the whether Re is larger or smaller than 2100. So what are these two formulas? For non-turbulent flow (Re<=2100), the function returns \(16/Re\). \(\epsilon / D\) is not even considered. For turbulent flow (Re>2100), it looks like the function is using the equation (implicit in \(f\)) defined in this Wikipedia article: Fanning friction factor. I lack your obvious skill with Latex, otherwise I would reproduce the formula here. I only tested a few data points (4) but all agreed with the Wikipedia article. Ceci n'est pas une signature. |
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