Page 264 - Formulas and Calculations for Petroleum Engineering

Chapter 5

Fluid flow and transport phenomena

formulas and calculations

Chapter Outline
5.1 Archimedes number 258 5.40 Drag coefficient 275
5.2 Average number of collisions to reduce neutron energy 259 5.41 Drag force 275
5.3 Average velocity of a falling film with variable viscosity 259 5.42 Draining of a cylindrical tank 276
5.4 Average velocity of flow through a circular tube 260 5.43 Draining of a spherical tank 276
5.5 Average velocity of flow through an annulus 260 5.44 Eckert number 277
5.6 Average velocity of fluids in flow of two adjacent 5.45 Effective emissivity of a hole 277
immiscible fluids 261 5.46 Effective thermal conductivity for a solid with
5.7 Average velocity over the cross section of a falling spherical inclusions 277
film 261 5.47 Efflux time for draining a conical tank 278
5.8 Blowdown time in unsteady gas flow 262 5.48 Ekman number 278
5.9 Boltzmann equation 262 5.49 Elimination of circulation in a rising gas bubble 279
5.10 Boussinesq approximation—Buoyancy 262 5.50 Energy emitted from the surface of a black body 279
5.11 Brinkman number 263 5.51 Estimation of diffusivity of liquids 279
5.12 Buckingham Reiner equation 263 5.52 Estimation of self diffusivity at high density 280
5.13 Calculation of mass flow rate 264 5.53 Estimation of the viscosity of a pure liquid 280
5.14 Calculation of momentum flux 264 5.54 Euler number 281
5.15 Combined momentum flux tensor 265 5.55 Fanning friction factor (laminar flow) 281
5.16 Combined radiation and convection 265 5.56 Fanning’s friction factor (turbulent flow) 282
5.17 Compressible flow in a horizontal circular tube 265 5.57 Fick’s law of binary diffusion 282
5.18 Compton scattering 266 5.58 Film condensation on vertical pipes 282
5.19 Correction factor for stagnant film according to the 5.59 Film condensation on vertical tubes 283
penetration model 266 5.60 Film thickness of a falling film on a conical surface 284
5.20 Darcy Weisbach equation (head loss form) 267 5.61 Flow in a liquid-liquid ejector pump 284
5.21 Darcy Weisbach equation (pressure loss form) 267 5.62 Flow in a slit with uniform cross flow 285
5.22 Dean number 267 5.63 Flow near a corner 285
5.23 Deborah number 268 5.64 Flow of power law fluid through a narrow slit 286
5.24 Decay of thermal neutrons 268 5.65 Fluid kinetic force in conduits 286
5.25 Determination of the controlling resistance 269 5.66 Fluid kinetic force in flow around submerged objects 286
5.26 Determination of the diameter of a falling sphere 269 5.67 Form drag 287
5.27 Diffusion from an instantaneous point source 270 5.68 Free air correction—Gravity survey 287
5.28 Diffusion in a moving film 270 5.69 Free batch expansion of a compressible fluid 288
5.29 Diffusion in polymers 270 5.70 Free convection heat transfer from a vertical plate 288
5.30 Diffusion into a falling liquid film (gas absorption) 271 5.71 Friction drag 288
5.31 Diffusion of low-density gases with equal mass 271 5.72 Friction factor for creeping flow around a sphere 289
5.32 Diffusion potential 272 5.73 Friction factor in flow around submerged objects 289
5.33 Diffusion through a non-isothermal spherical film 272 5.74 Friction factor in flow through conduits 290
5.34 Diffusion through a stagnant film 273 5.75 Friction factor in packed column (laminar) 290
5.35 Diffusion through a stagnant gas film 273 5.76 Friction factor in packed column (turbulant) 290
5.36 Diffusion through cleat spacing in coalbed methane 5.77 Galilei number 291
reservoirs 273 5.78 Gas absorption from rising bubbles for creeping flow 291
5.37 Diffusion with a heterogeneous chemical reaction 274 5.79 Gas absorption through bubbles 292
5.38 Diffusion with a homogeneous chemical reaction 274 5.80 Gas absorption with chemical reaction in an
5.39 Diffusion, convection, and chemical reaction 275 agitated tank 292

Formulas and Calculations for Petroleum Engineering. https://doi.org/10.1016/B978-0-12-816508-9.00005-6
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