![]() Special attention has been given to the scaling laws describing the flow reversal phenomenon occurring in pulsating flows, such as the condition for flow reversal, the dependency of the reversal duration, and the amplitude. Utilizing the analytical results, the scaling laws for dimensionless pulsation amplitudes of the velocity, mass-flow rate, pressure gradient, and wall shear stress are analyzed as functions of the dimensionless pulsation frequency. The explicit interdependence between pulsations of velocity, mass-flow rate, pressure gradient, and wall shear stress are shown by using the proper dimensionless parameters that govern the flow. An analytical solution of the velocity profile for arbitrary time-periodic pulsations is derived by approximating the pulsating flow variables by a Fourier series. Some (not all) outbound links on this website, such as Amazon links, are affiliate-based where we receive a small commission for orders placed elsewhere.Analytical investigations are carried out on pulsating laminar incompressible fully developed channel and pipe flows. Information presented and opinions expressed should not be relied upon as a replacement for consulting services. Comments which do not contribute, are not relevant, are spam, or are disrespectful in nature may be removed. Fire protection and life safety systems constitute a critical component for public health and safety and you should consult with a licensed professional for proper design and code adherence.ĭiscussions are solely for the purpose of peer review and the exchange of ideas. The views, opinions, and information found on this site represent solely the author and do not represent the opinions of any other party, nor does the presented material assume responsibility for its use. See our Privacy Policy and Terms of Service. We respect your privacy and personal data. MeyerFire, LLC is a NICET Recognized Training Provider and International Code Council Preferred Education Provider.Īll text, images, and media Copyright © 2023 MeyerFire, LLC We promote the industry by creating helpful tools and resources, and by bringing together industry professionals to share their expertise. ![]() Our goal is to improve fire protection practices worldwide. is a startup community built to help fire protection professionals shine. Fun morning taking the old books off the shelf. BUT, for laminar flow where Re is less than 2,300, you will have a higher frictional factor. Now to answer your question, yes, turbulent flows experience a larger loss due to friction. ![]() In the end, you will see that for turbulent flow, it is now not only based on the Reynolds number (like laminar) but also the relative roughness of the pipe. I would always jump over to the Moody Chart mentioned in the question to find the friction factor. As much as I loved Fluid Dynamics while in School, I never played with these formulas much. Therefore, friction loss for laminar flow is independent of the pipe it is traveling through.įor turbulent flow, you use the Colebrook-white equation to calculate the friction factor and then the Darcy-Welsbach formula to calculate the fluid frictional loss in a pipe. When reviewing the units within calculating the Reynolds number, there is no reference to the pipe surface or properties of the pipe itself. For laminar flow, you calculate the friction factor by dividing 64 by the Reynold’s number. This is seen by reviewing the equations to calculate both. Where, for turbulent flows, the primary friction loss is based on the friction between the fluid (our case water) and the pipe. For example:įor laminar flow, the primary friction loss is based on the viscosity of the fluid. Frictional factor does not directly relate to the friction loss of the pipe.
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