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Where A represents the cross-sectional area and.The hydraulic diameter, D H, is assumed to be the typical size for internal-flow circumstances for forms such as squares, rectangular, or circular ducts when the height and width are equivalent. ρ is the density of the fluid flowing through a pipe in kg/m 3.μ is the dynamic viscosity of fluid measured in N.u is the mean velocity of flowing fluid.A is the cross-sectional area of the pipe in m 2.Q is the fluid’s volumetric flow rate measured in m 3/s.D H is the hydraulic diameter – it is generally taken for non-circular pipes.When fluid is flowing through a pipe there is a difference in the pattern of fluid flow, it can be smooth that is laminar or filled with eddies that are turbulent this can be defined in Reynolds number format as follows: Reynolds Number Fluid Flow in Pipe (Closed Channel) Hence, we can say that the Reynolds number is a unitless property. Unit of Reynolds Number = kg x m x m x m.s/(m 3 x s x kg).Unit of Reynolds Number = (kg/m 3) x (m/s) x m / (kg/m.s).Unit of Reynolds Number = units of ρ x unit of u x unit of D / unit of μ
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Now, let’s try to find out the units of Reynolds number! The relationship between dynamic and kinematic viscosity is given by:įrom the formula of Reynolds Number, we can write, ν: is the kinematic viscosity in (m 2/s).μ: is the dynamic viscosity of the flowing fluid in Pascal – seconds or N-s/m 2 or kg/m.s.D: is the length through which the fluid flow in (m).u: is the velocity of fluid flow in (m/s).ρ: is the density of flowing fluid in (kg/m 3).Re = Density x Density x Velocity / Viscous Force.Reynolds number definition equation formulaįrom the definition of Reynolds Numbers, Re = Inertial force / Viscous force It is defined as the ratio of inertial forces to viscous forces and may be stated in terms of units and parameters, as shown below: Reynolds number determines whether a fluid flow will be laminar or turbulent by taking into account numerous parameters such as velocity, length, viscosity, and flow type. He first showed the relationship between all the above parameters and the same theory is named as Reynolds Number based on his name.Ĭheck out our 100% Solved Quiz Equation or Formula of Reynolds Number & Units Reynolds Number Equation or Formula F Viscous = Viscous Force History of Reynolds Numberīritish engineer and physicist, Osborne Reynolds proved that the fluid transition from laminar to turbulent flow in a pipe is the factor of few parameters and that value depends on.Reynolds number means simply the ratio of inertial force to the viscous force and it can be expressed mathematically as given below: Otherwise, the flow is laminar if viscous forces, defined as resistance to flow, are dominating. In turbulent flows, these forces are dominating in nature.Inertial forces oppose changes in an object’s velocity and are the reason for fluid flow.Although the Reynolds number includes both static and kinetic fluid characteristics, it is described as a flow parameter since dynamic situations are studied.A boundary layer, such as the bounding surface in the inside of a pipe, is an area where these forces change behavior.This ratio distinguishes laminar flows from turbulent flows. The ratio of inertial forces to viscous forces inside a fluid exposed to relative internal movement owing to varying fluid velocities is known as the Reynolds number.
REYNOLDS NUMBER AIRFOIL ANDROID
It is one of the most important governing parameters in all viscous flows in which a numerical model is chosen based on a pre-calculated Reynolds number.Ĭheck out our ‘MechStudies – The Learning App’ in iOS & Android Reynolds Number Definition Here comes, Reynolds number is introduced to specify the relationship between inertial force and viscous force. Now, if velocity is increased, momentum (mass x velocity) will be increased, that is the inertial force and the same will be increased and simultaneously viscous force will also be changed.