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Internal Flows
Published in Gautam Biswas, Amaresh Dalal, Vijay K. Dhir, Fundamentals of Convective Heat Transfer, 2019
Gautam Biswas, Amaresh Dalal, Vijay K. Dhir
For fully developed turbulent flow, the analysis is quite involved. At this stage, we may rely on the experimental results, (Fig. 3.3). Figure 3.3 is known as a Moody diagram or Moody chart [1] depicting friction factor as a function of Reynolds number and surface roughness. Correlations that reasonably approximate the smooth surface are: () f=0.316ReD−1/4……..ReD≤2×104 () f=0.184ReD−1/5……..ReD≥2×104
Heat Exchangers
Published in Mohammed M. Farid, Mathematical Modeling of Food Processing, 2010
For transition and turbulent flow conditions, f is determined from a chart known as Moody chart. The Moody chart represents friction factor as a function of Reynolds number for various magnitudes of relative roughness (e/D) of tube. Correlations for friction factor under turbulent flow conditions in a smooth tube are given by [6]: f=0.046NRe−0.2for3×104<NRe<106andf=0.079NRe−0.25for4×103<NRe<105
Fundamentals of Fluid Mechanics
Published in Ethirajan Rathakrishnan, Instrumentation, Measurements, and Experiments in Fluids, 2016
This is called the Darcy–Weisbach equation, valid for flow through ducts of any cross-section. Further, in the derivation of the above relation, there was no mention about whether the flow was laminar or turbulent and hence Equation (2.67) is valid for both laminar and turbulent flow. The value of friction factor f for any given pipe (i.e., for any surface roughness ϵ and d) at a given Reynolds number can be read from the Moody chart (which is a plot of f as a function of Red and ϵ/d).
Freight train air brake models
Published in International Journal of Rail Transportation, 2023
Qing Wu, Colin Cole, Maksym Spiryagin, Chongyi Chang, Wei Wei, Lyudmila Ursulyak, Angela Shvets, Mirza Ahsan Murtaza, Ikram Murtaza Mirza , Кostiantyn Zhelieznov, Saeed Mohammadi, Hossein Serajian, Bastian Schick, Mats Berg, Rakesh Chandmal Sharma, Ahmed Aboubakr, Sunil Kumar Sharma, Stefano Melzi, Egidio Di Gialleonardo, Nicola Bosso, Nicolò Zampieri, Matteo Magelli, Crăciun Camil Ion, Ian Routcliffe, Oleg Pudovikov, Grigory Menaker, Jiliang Mo, Shihui Luo, Amin Ghafourian, Reza Serajian, Auteliano A. Santos, Ícaro Pavani Teodoro, Jony Javorski Eckert, Luca Pugi, Ahmed Shabana, Luciano Cantone
where is the Reynolds number; and pipe roughness. The Colebook equation isusually expressed as the Moody Chart [55] where the friction factor can be searched using pipe roughness and Reynolds number. In the Funk and Robe [54] model, the friction factor was expressed as: