Useful dimensionless numbers with description
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Important Forces before starting: Reference : Internet Reynolds number : Ratio of inertial forces to viscous forces. (dimensionless) Reynold number = (density)*(velocity)*(Diameter)/(Dynamic viscosity) The ratio ν = µ/ρ is termed the kinematic viscosity. Reynold number is used to categorize the fluids systems in which the effect of viscosity is important in controlling the velocities or the flow pattern of a fluid. Flow in a pipe is laminar if the Reynolds Number (based on diameter of the pipe) is less than 2100 and is turbulent if it is greater than 4000. Transitional Flow prevails between these two limits. Ca pillary number : Ratio of viscous force to interfacial force . It is used while flooding or EOR. More the capillary number, higher the oil recovery. Capillary number = (Dynamic viscosity)*(Velocity)/(interfacial tension) For a flowing liquid, if N C >>1, then viscous forces dominate over interfacial forces; however if N C <<1, then viscous forces ar