How do you find the viscosity of a Reynolds number?

The Reynolds number (Re) of a flowing fluid is calculated by multiplying the fluid velocity by the internal pipe diameter (to obtain the inertia force of the fluid) and then dividing the result by the kinematic viscosity (viscous force per unit length).

How is viscosity related to Reynolds number?

A large Reynolds number indicates that viscous forces are not important at large scales of the flow. With a strong predominance of inertial forces over viscous forces, the largest scales of fluid motion are undamped—there is not enough viscosity to dissipate their motions.

What is generalized Reynolds number?

An extended version of the generalized Reynolds number was derived to characterize the duct flow of non-Newtonian gelled fluids of the Herschel-Bulkley-Extended (HBE) type. This number allows also estimating the transition from laminar to turbulent flow conditions.

What is the formula for the Reynolds number?

The Reynolds number formula is: where: V is the flow velocity, D is a characteristic linear dimension, (travelled length of the fluid; hydraulic diameter etc.) ρ fluid density (kg/m 3 ), μ dynamic viscosity (Pa.s), ν kinematic viscosity (m 2 /s); ν = μ / ρ.

How is the Reynolds equation generalized in lubricated systems?

Dowson [6] generalized the Reynolds equation by considering the variation of fluid prop- erties both across and along the fluid film thickness. Many workers have studied the effects of viscosity variation in lubricated systems by considering the Reynolds equation and an energy equation.

What is the generalized Reynolds number for flow in pipes?

Generalized Reynolds number for flow in pipes: For Newtonian flow in a pipe, the Reynolds number is defined by: ?�= ??�? ? (3.1) In case of Newtonian flow, it is necessary to use an appropriate apparent viscosity (?? In flow in a pipe, where the shear stress varies with radial location, the value of ?? varies. The value of ??

How are viscous forces characterized by the Reynolds number?

The viscous forces are characterized by the dynamic viscosity coefficient mu times the second gradient of the velocity d^2V/dx^2. The Reynolds number Re then becomes: The gradient of the velocity is proportional to the velocity divided by a length scale L.