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incorrect or at least a very poor approximation and I don't know where it comes from. The factor f for turbulent flow is found using the implicitly defined
Colebrooke–White transition formula or its close approximation the Swamee–Jain formula. An equally acceptable solution is to read the f value from the graphical solution to this formula the Moody diagram.
1179:"... the Darcy–Weisbach factor is more commonly used by civil engineers, and the Fanning factor by chemical and mechanical engineers..." From where Do you take that? I am a mechanical / aeronautical engineer and I have never used the fanning factor. Hence this statement should be completely deleted! Ok?
1432:
The title of Fig. 3 states that the "Roughness
Function B" is being plotted against the "Friction Reynolds number R*". I believe this latter should read "Roughness Reynolds number R*". In the text, the "Friction Reynolds number" is identified as Re.sqrt(fD), whereas the quantity R* is identified as
1014:
The procedure in the "Confusion with ..." section works for any location on the laminar friction factor line where the
Reynolds number is an integral power of ten. The line is usually plotted only in the laminar flow region, but it can be extrapolated to any convenient Reynolds number and the given
920:
boiling down to historical accident after finding a large number of sources using either symbol. It is a common occurrence that engineers and physicists will use different symbols for the same equation and usage propagates by people using the symbols used by whoever taught them. In the case at hand,
1158:
confused me a bit. At this point, I am not sure that it is proper to call the Darcy–Weisbach equation itself either phenomenological or semi-empirical. Its application may yield a well-founded exact value or a less-well-founded approximation, depending on the how the friction factor was determined.
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I think that darcy-weisbach is better termed a "semi-empirical" equation than a phenomenological equation for two reasons. It contains a part that is solidly grounded in theory (the v^2/2g term, and to a lesser extent the L/D term) and the term "semi-empirical equation" is in more common use than
756:
As an answer to the first question, yes the Darcy–Weisbach equation is applicable to all flow types, turbulent, laminar, steady, and unsteady no matter the velocity or pressure distribution. As for the equation given for calculating the friction coefficient f for turbulent flow, it is completely
1307:
My first question is, why is this a link to hydraulic diameter? Second, I have a comment about the term wetted area, it is incorrectly used in this article. The average velocity cannot in general be obtained by dividing the flow rate by the wetted area. Instead one must correctly determine the
181:
I am trying to compare the head lost due to friction value by using the Darcy-Weisbach
Equation and the Hazen-Williams Equation,however, I can`t get equivalence, the 2 values differ allot, 1 is 1.2 bar (Darcy-Weisbach Equation), the other is 0.5 bar! How could this happened? Which will be more
1040:
The Moody diagram is not only applicable to round conduits, it can be used for any arbitrarily shaped cross section. The difference in its use is that in the calculation of the
Reynolds number and the relative roughness parameters one needs to use in place of diameter the quantity 4 times the
740:
I would consider "viscous" flow a poor choice of terminology for "laminar" because viscous refers to viscosity, not the velocity profile of the flow (e.g. smoke curls rising from a cigarette in still air are laminar at the bottom, and turbulent at the top--but the viscocity of the air has not
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Can this equation be used for both laminar and turbulant flow, or is there a particular range of renoylds number that this equations works for. for instance, what happens in low velocity flow with high pressure, can the head loss still be calculated with this equation, or is there another
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effective flow area. While the two areas are often equivalent, there are cases where a obstruction is immediately downstream of the cross section, causing a blockage or lack of motivation of fluid in that region. The effective area is the unrestricted flow area.
1028:
A Moody diagram assumes (round) pipe flow. That the friction factor is defined for round conduits might be stressed in a section other than the one which is intended to heighten awareness about the distinction between the Darcy and
Fanning friction factors.
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The section which focuses on distinguishing between the Darcy and
Fanning friction factors assumes that the reader is familiar enough with at least one of them (Darcy or Fanning) to identify the laminar friction factor line in a Moody diagram.
850:"The use of different symbols for the same numerical coefficient depending on whether head loss or pressure is considered is a historical accident due to different conventions being used by different communities of scientists and engineers."
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The Darcy-Weisbach equation can be used equivalently with either the fanning friction factor or the Darcy
Weisbach friction factor, however if the fanning factor is used the diameter D in the equation must be replaced with the hydraulic
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based on volumetric flow rate rather than velocity is derived. If my algebra is correct, the friction factor corresponding to the other coefficients in the formula would be the D-W one, but the symbol used is f rather than
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I prefer things that are close to correct be fixed rather than be deleted completely. Throwing things away and making someone else recreate similar content from scratch doesn't seem like a helpful way to
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An anonymous user added "(American)" to the "head loss form" header. What does that mean? That engineers not trained in the US or influenced by US conventions don't use the head loss form?
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The given
Blasius formula is for the Fanning friction factor. The Darcy friction factor would be a better fit in this article. But friction factor formulae are compiled
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solution:ya..this equation can be used for both turbulent and viscous(laminar)flow.the only change is that in the formula,value of co-eff of friction changes in each case.
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The Darcy–Weisbach equation is exact for laminar flow and can be derived theoretically. The formula may be extended to turbulent flow by varying the friction factor. The
953:... the slope of the linear relation between the friction factor and the inverse of the Reynolds number in the limit of small Reynolds numbers. If the slope is 16/Re, ...
1323:
The presence of an obstruction immediately downstream of the cross section is contrary to the implied assumption of "fully developed flow." See the first sentence here:
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as a symbol for friction factor. It is for a "European friction factor" which is half the
Fanning friction factor, so it doesn't seem that this article should be using
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engineers are more likely to use the head loss form, and physicists the pressure form. The fact that someone felt compelled to call the head loss form with
1217:
It says that chemical engineers use the Fanning friction factor; mechanicals and civils use the Darcy friction factor. It also sheds light on the use of
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The square-channel friction factor is interesting. It appears to be a Fanning friction factor. I moved it to a new section of the article on the
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the "Roughness Reynolds number". Moreover, B is identified as a function of the "Roughness Reynolds number", not the "Friction Reynolds number".
458:{\displaystyle \ln \left({\frac {p\inf {2}}{p\inf {1}}}\right)=\ln({\frac {\delta \cdot {p}}{1.013}})=\ln \delta \cdot {p}-\ln 1.013\cdot {f(dB)}}
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You may check the drop in pressure coefficient for an equation to find out if one is absolute pressure and others dynamic. I use the formula of
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hydraulic radius of the cross section where the hydraulic radius is defined as the cross sectional area divided by the wetted perimeter.
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the coefficient in the Hazen-Williams equation has units and cannot be directly compared to the dimensionless Darcy friction factor; and,
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It should be noted that f=16/Re is the friction factor for flow in round tubes. For a square channel this becomes 14.227/Re for example.
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Discussing the limiting Reynolds number for laminar flow, and the distinctions between various friction factors may be more fitting
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an "American" form of the equation also supports the idea that there are issues of propagation of notation within subcultures.
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630:{\displaystyle {\frac {d{r}}{dt}}+U{\frac {du}{dt}}+V{\frac {dv}{dt}}={\frac {p}{\rho }}+f+4\mu \nabla {\frac {v^{2}}{2}}}
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For the Darcy-Weisbach friction factor for laminar flow is: f=64/Re, and for the Fanning friction factor, it is: f=16/Re.
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864:. Who are the "different communities of scientists and engineers" referred to in the statement quoted above? -
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expressions are malformed gobbledygook, making it impossible to discern what point you were trying to make. —
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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Some good info in the last few edits. The placement for some of it might be better elsewhere.
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the Hazen-Williams equation is probably only useful for a particular range of Reynolds numbers.
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correct? Or are there any rules that stated which equation is suitable for which situation?
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Moved the content of these sentences from the "Confusion with ..." a new section in the
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I suspect one pressure to lead to a out of the real space, infinity and second one to
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He is a pHD chemical engineer and he claims that they use Fanning friction factor. -
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The "slopes" are 16 or 64. But "16/Re" is the entire right-hand side of a formula.
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for the turbulent friction factor has bases in experiment. Reading the article on
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so f is force and none f-factor. I tagged f as unknown, hope to prove it as
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Maybe this is related to the statement at the end of the next section:
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In this section (right at the end), an alternative expression for h
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From the navier-stolkes equation there is the energz conservation:
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is the pressure in air, 1.013atm , and f(dB) must be one for any
310:{\displaystyle \ln \left({\frac {p\inf {2}}{p\inf {1}}}\right)}
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Figure 4 is mentioned twice in the text, but is not visible.
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The text should have referred to "Figure 3"; I corrected it.
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in the darcy eq. Since then please leave f to disambuation—
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http://biz2.yellowdotworks.net/files/yellowadmin/AcrAE.pdf
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Unhappily, a version of the shear-stress formula in the
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for turbulent,f=.079/(reynolds no.)to the power of (1/4)
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used for the "D'Arcy-Weisbach friction coefficient"
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Anonymous butter-fingered typist, your <math: -->
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1327:Reynolds_number#Reynolds_number_in_pipe_friction
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961:linear relation between the ... and the inverse
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1207:There is an interesting discussion here:
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1130:Phenomenological versus semi-empirical
177:Equivalence to Hazen-Williams equation
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101:This article is within the scope of
903:stand for friction, or for Fanning?
38:It is of interest to the following
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1422:08:27, 15 November 2017 (UTC)
1406:21:15, 16 February 2017 (UTC)
1339:03:59, 28 December 2011 (UTC)
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1169:19:23, 12 November 2008 (UTC)
1145:16:06, 12 November 2008 (UTC)
156:This article is supported by
121:Knowledge:WikiProject Physics
115:and see a list of open tasks.
1298:04:16, 4 November 2009 (UTC)
1067:article is missing from the
802:Seems reasonable to me, too.
694:17:58, 6 November 2006 (UTC)
201:) 08:15, May 24, 2006 (UTC)
124:Template:WikiProject Physics
1135:"phenomenological equation"
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1075:section of this article. -
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823:12:19, 15 March 2008 (UTC)
651:14:23, 1 August 2011 (UTC)
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239:13:44, 15 March 2008 (UTC)
209:It appears to me that the
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829:Head loss form: American?
807:20:52, 30 July 2007 (UTC)
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728:15:25, 6 April 2007 (UTC)
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1250:{\displaystyle \lambda }
1230:{\displaystyle \lambda }
1152:Colebrook-White equation
943:Formula instead of slope
935:16:05, 24 May 2008 (UTC)
912:I wrote that line about
797:22:42, 1 July 2007 (UTC)
662:01:15, 27 May 2015 (UTC)
217:. This means two things:
159:Fluid Dynamics Taskforce
1466:Fluid dynamics articles
1156:Phenomenology_(science)
1069:Darcy-Weisbach equation
1065:Fanning friction factor
1034:Fanning friction factor
1020:Fanning friction factor
1015:procedure still works.
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