In fluid dynamics, the Reynolds number (Re) is a dimensionless quantity that helps predict fluid flow patterns in different situations by measuring the...

In magnetohydrodynamics, the magnetic Reynolds number (Rm) is a dimensionless quantity that estimates the relative effects of advection or induction of...

determined by a dimensionless parameter characterizing the flow called the Reynolds number, which also depends on the viscosity and density of the fluid and dimensions...

spheres in uniform flow in the Reynolds number range of 8×102 < Re < 2×105 there co-exist two values of the Strouhal number. The lower frequency is attributed...

is described by Reynolds number, a unit-less number used to determine when turbulent flow will occur. Conceptually, the Reynolds number is the ratio between...

flow of an inviscid fluid which is a fluid with zero viscosity. The Reynolds number of inviscid flow approaches infinity as the viscosity approaches zero...

neighbors at one moment can find themselves widely separated later. Reynolds number is the ratio of inertial forces to viscous forces. As the size of an...

friction factor f depended on the flow regime and was independent of the Reynolds number (and thus the velocity) only in the case of rough pipes in a fully...

Reynolds number R e {\displaystyle \mathrm {Re} } , Mach number M a {\displaystyle \mathrm {Ma} } and the direction of the flow. For low Mach number M...

kg/m3). Note that whereas the Reynolds number and Grashof number are subscripted with a scale variable, the Prandtl number contains no such length scale...

non-dimensional form that relates the Darcy–Weisbach friction factor fD, Reynolds number Re, and surface roughness for fully developed flow in a circular pipe...

parameter were the same in both cases. This parameter, now known as the Reynolds number, is used in the description of all fluid-flow situations, including...

Péclet number is the product of the Reynolds number and the Schmidt number (Re × Sc). In the context of the thermal fluids, the thermal Péclet number is equivalent...

the friction factor in a packed column as a function of the modified Reynolds number. f p = 150 G r p + 1.75 {\displaystyle f_{p}={\frac {150}{Gr_{p}}}+1...

situations where the Reynolds number and Schmidt number are readily available. Since Re and Sc are both dimensionless numbers, the Sherwood number is also dimensionless...

Reynolds number of interest is called the boundary Reynolds number, and it is formed by replacing the velocity term in the particle Reynolds number by...

\mathrm {Nu} _{D}=4.36} Sherwood number (mass transfer Nusselt number) Churchill–Bernstein equation Biot number Reynolds number Convective heat transfer Heat...

increases. The onset of turbulence can be predicted by the dimensionless Reynolds number, the ratio of kinetic energy to viscous damping in a fluid flow. However...

This distinction between low and high-speed flow is measured by the Reynolds number. Drag is instantaneously related to vorticity dynamics through the...

particle (or droplet) Reynolds number is less than about one, the particle drag coefficient is inversely proportional to the Reynolds number itself. In that...

since 2001. Reynolds number Reynolds analogy Reynolds equation Reynolds transport theorem Reynolds decomposition Reynolds stress Reynolds-averaged Navier–Stokes...

number. It has been observed through many experiments that the Reynolds number of successful strikes (Re~200) is much higher than the Reynolds number...

Reynolds during the nineteenth century. These foundations have given many useful tools to study hydrodynamic stability. These include Reynolds number...

one another (see Boundary layer section). In fluid mechanics, the Reynolds number is the ratio of inertial forces (vsρ) which dominate a turbulent flow...

right. As the flow speed increases (Reynolds number, Re) the frequency slowly climbs (nearly constant Strouhal number, St) but then the frequency jumps...

sporadic motion. There is also a number used to predict the beginning of turbulent flow. This number is the Reynolds number, which is determined by the speed...

of situations involving natural convection and is analogous to the Reynolds number (Re). Free convection is caused by a change in density of a fluid due...

paradox) is a phenomenon in which drag coefficient drops off suddenly as Reynolds number increases. This has been well studied for round bodies like spheres...

The Reynolds Analogy is popularly known to relate turbulent momentum and heat transfer. That is because in a turbulent flow (in a pipe or in a boundary...

depends on the Reynolds number; if the fluid is a gas, c d {\displaystyle c_{\rm {d}}} depends on both the Reynolds number and the Mach number. The equation...