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Reynolds Number Introduction and definition of the dimensionless Reynolds Number online calculators Sorry to see that you are blocking ads on The Engineering
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• disabling your adblocker on The Engineering ToolBox! •• How to? The Reynolds Number, the nondimensional velocity, can be defined as the ratio of the inertia force (ρ u L), and the viscous or friction force (μ) and interpreted as the ratio of the dynamic pressure (ρ u2), and the shearing stress (μ u / L) and can be expressed as Re = (ρ u2) / (μ u / L) = ρ u L / μ = u L / ν (1) where Re = Reynolds Number (nondimensional) ρ = density (kg/m3, lbm /ft 3 ) u = velocity based on the actual cross section area of the duct or pipe (m/s, ft/s) μ = dynamic viscosity (Ns/m2, lbm /s ft) L = characteristic length (m, ft) ν = μ / ρ = kinematic viscosity (m2/s, ft 2/s)
Reynolds Number for a Pipe or Duct For a pipe or duct the characteristic length is the hydraulic diameter. L = dh where dh = hydraulic diameter (m, ft) The Reynolds Number for a duct or pipe can be expressed as Re = ρ u dh / μ = u dh / ν (2) where dh = hydraulic diameter (m, ft) Reynolds Number for a Pipe or Duct in Imperial Units The Reynolds number for a pipe or duct can also be expressed in Imperial units Re = 7745.8 u dh / ν (2a) where Re = Reynolds Number (non dimensional) u = velocity (ft/s) dh = hydraulic diameter (in) ν = kinematic viscosity (cSt) (1 cSt = 106 m2/s ) The Reynolds Number can be used to determine if flow is laminar, transient or turbulent. The flow is laminar when Re < 2300 transient when 2300 < Re < 4000 turbulent when Re > 4000 In practice laminar flow is only actual for viscous fluids like crude oil, fuel oil and oils.
Example Calculating Reynolds Number A Newtonian fluid with a dynamic or absolute viscosity of 0.38 Ns/m2 and a specific gravity of 0.91 flows through a 25 mm diameter pipe with a velocity of 2.6 m/s. The density can be calculated using specific gravity like ρ = 0.91 (1000 kg/m3) = 910 kg/m3 The Reynolds Number can then be calculated using equation (1) like Re = (910 kg/m3) (2.6 m/s) (25 mm) (103 m/mm) / (0.38 Ns/m2) = 156 ((kg m / s2)/N) = 156 ~ Laminar flow 1 (N) = 1 (kg m / s2)
Related Mobile Apps from The Engineering ToolBox Reynolds Number Calculator App free apps for offline use on mobile devices.
Online Reynolds Calculator Density and the absolute (dynamic) viscosity is known The calculator below can be used if the density and the absolute (dynamic) viscosity of a fluid is known. The calculator is valid for incompressible flow flow with fluids or gases without compression as typical for an air flow in a HVAC systems or similar.
0.146 20
Density ρ (kg/m3, lbm /ft 3) Velocity u (m/s, ft/s)
0.5 0.0000122
Characteristic length L (hydraulic diameter dh ) (m, ft) Absolute (dynamic) viscosity μ (Ns/m2, lbm /s ft)
Calculate! The default values are for air at 60 oF, 2 atm pressure and density 0.146 lbm /ft 3, flowing 20 ft/s between two metal sheets with characteristic length 0.5 ft. Dynamic (absolute) viscosity is 1.22 105 lbm /s ft. Kinematic viscosity is known The calculator below can be used when the kinematic viscosity of a fluid is known.
5
Velocity u (m/s, ft/s)
0.102
Characteristic length L (hydraulic diameter dh ) (m, ft)
0.000001004
Kinematic viscosity ν (m2/s, ft 2/s)) (1 cSt = 106 m2/s)
Calculate! The default values are for water at 20oC with kinematic viscosity 1.004 106 m2/s in a schedule 40 steel pipe. The characteristic length (hydraulic diameter) of the pipe is 0.102 m.
Related Topics Fluid Mechanics The study of fluids liquids and gases. Involves velocity, pressure, density and temperature as functions of space and time Fluid Flow and Pressure Drop Pipe lines fluid flow and pressure loss water, sewer, steel pipes, pvc pipes, copper tubes and more Water Systems Hot and cold water service systems design properties, capacities, sizing and more Piping Systems Dimensions of pipes and tubes, materials and capacities, pressure drop calculations and charts, insulation and heat loss diagrams
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Related Documents Liquids Kinematic Viscosities Kinematic viscosities of common liquids like motor oil, diesel fuel, peanut oil and many more Moody Diagram A Moody diagram that can be used to estimate friction coefficients Laminar, Transitional or Turbulent Flow When calculating heat transfer or pressure and head loss it is important to know if a fluid flow is laminar, transitional or turbulent DarcyWeisbach Pressure and Head Loss Equation The DarcyWeisbach equation can be used to calculate pressure or head loss due to friction in ducts, pipes or tubes Major loss in Ducts, Tubes and Pipes Major loss head loss or pressure loss due to friction in ducts, pipes and tubes Water Absolute or Dynamic Viscosity Absolute or dynamic viscosity of water in centipoises for temperatures between 32 200oF Absolute, Dynamic and Kinematic Viscosity Dynamic, absolute and kinematic viscosities convert between CentiStokes (cSt), centipoises (), Saybolt Universal Seconds (SSU) and degree Engler Water Flow in Tubes Reynolds Number Clean cold waterflow in pipes and the Reynolds number Entrance Length and Developed Flow The entrance length is the length in a tube or duct after an obstruction until the flow velocity profile is fully developed Colebrook Equation Calculate friction loss coefficients in pipes, tubes and ducts Hydraulic Diameter Hydraulic diameter of pipes and ducts Friction Coefficient with Laminar Flow Laminar flow and friction coefficient Prandtl Number The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity
Tag Search en: reynolds number laminar turbulent es: reynolds número laminar turbulento de: ReynoldsZahl laminar turbulent
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