Page 265 - Formulas and Calculations for Petroleum Engineering

258 Formulas and calculations for petroleum engineering

5.81 Gas absorption with rapid reaction 293 5.115 Momentum flux distribution of flow through an
5.82 Gas mass rate flow in compressible tube flow 293 annulus 307
5.83 Graetz number 293 5.116 Momentum flux profile of fluids in flow of two
5.84 Graham equation viscosity ratio 294 adjacent immiscible fluids 307
5.85 Grash of number 294 5.117 Momentum fluxes for creeping flow into a slot 308
5.86 Hagen number 295 5.118 Mooney equation viscosity 308
5.87 Hagen-Poiseuille equation 295 5.119 Non-Newtonian flow in annulus 309
5.88 Influence of changing interfacial area on mass 5.120 Nusselt number 309
transfer 296 5.121 Ohnesorge number 310
5.89 Knudsen flow 296 5.122 Potential flow around a cylinder 310
5.90 Krieger Dougherty equation viscosity ratio 296 5.123 Prandtl number 310
5.91 Laminar flow along a flat plate (approximate 5.124 Pressure distribution in a creeping flow around a
solution) 297 sphere 311
5.92 Laminar flow of an incompressible power-law 5.125 Pressure drop per length of the adsorption unit 311
fluid in a circular tube 297 5.126 Pressure loss due to sudden enlargement 312
5.93 Laplace number 298 5.127 Reynolds number 312
5.94 Lewis number 298 5.128 Schmidt number 313
5.95 Mach number 298 5.129 Sherwood number 313
5.96 Manning formula 299 5.130 Slit flow in Bingham fluid 313
5.97 Marangoni number 299 5.131 Smoluchowski equation 314
5.98 Mass absorption (attenuation) coefficient 300 5.132 Stanton number 314
5.99 Mass flow rate as a function of the modified 5.133 Stefan number 315
pressure drop in a network of tubes 300 5.134 Stokes number 315
5.100 Mass flow rate in a rotating cone pump 300 5.135 Strouhal number 315
5.101 Mass rate of flow 301 5.136 Taylor dispersion (axial dispersion coefficient) 316
5.102 Mass rate of flow in a squared duct 301 5.137 Taylor equation viscosity 316
5.103 Mass rate of flow of a falling film 302 5.138 Taylor number 317
5.104 Mass rate of flow through a circular tube 302 5.139 Theory of diffusion in colloidal suspensions 317
5.105 Mass transfer for creeping flow around a gas 5.140 Toricelli equation 317
bubble 303 5.141 Total force of the fluid on the sphere in a creeping
5.106 Mass transfer to drops and bubbles 303 flow around a sphere 318
5.107 Maximum flow rate (Vogel’s equation) 303 5.142 Velocity distribution in a creeping flow around a
5.108 Maximum velocity of a falling film 304 sphere 318
5.109 Maximum velocity of flow through a circular 5.143 Velocity distribution of a falling film with variable
tube 304 viscosity 319
5.110 Maximum-velocity v z -maximum of a falling film 305 5.144 Velocity distribution of flow through a circular
5.111 Method for separating helium from natural gas 305 tube 319
5.112 Modified capillary number 306 5.145 Velocity profile of fluids in flow of two adjacent
5.113 Modified Van Driest equation 306 immiscible fluids 319
5.114 Momentum flux distribution of flow through a 5.146 Viscosity by a falling-cylinder viscometer 320
circular tube 306 5.147 Winsauer equation 320

5.1 Archimedes number

Input(s)
2
g: Local External Field (For Example Gravitational Acceleration) (m/s )
3
rl: Density of the Fluid (kg/m )
3
r: Density of the Body (kg/m )
m: Dynamic Viscosity (kg/(s*m))
L: Characteristic Length of Body (m)

Output(s)
Ar: Archimedes Number (dimensionless)