A B C D E F
1/f FLUCTUATIONS IN BOILING CRISIS F-FACTOR METHOD FACHINFORMATIONSZENTRUM KARLSRUHE, FIZ FACILITIES WITH A MOVING PISTON FAHRENHEIT TEMPERATURE SCALE FALKNER-SKAN EQUATION FALLING DROPLET EFFECT FALLING FILM EVAPORATORS Falling film flow Falling film heat transfer Falling film mass transfer Falling film, combined heat and mass transfer FALLING RATE PERIOD, DRYING CURVE FANNING EQUATION FANNING FRICTION FACTOR FANNO FLOW FARADAY MHD GENERATOR FARADAY'S LAWS FAST DEFLATION METHODS FAST NEUTRONS FAST REACTORS FATIGUE LIFE PREDICTION FAULT TREES FAXEN FORCES FEEDBACK CONTROL FEEDBACK, DYNAMIC FEEDFORWARD CONTROL FEEDING SYSTEM FOR PLASMA REACTOR FEEDWATER HEATERS FERMI-DIRAC DISTRIBUTION FERROELECTRICITY FERROMAGNETIC FLUID FERTILE ISOTOPES FERTILE MATERIAL FIBER COMPOSITE MATERIALS Fibers FIBRE FILTERS FIBRE OPTICS FIBRE SATURATION POINT FIBROPOROUS MEDIA FIBROUS MEDIA FICK'S LAW FICK'S LAW OF DIFFUSION FICK'S LAW, GENERALIZED FIGURE OF MERIT FOR NUCLEAR REACTOR COOLANTS FILIPPOV EQUATION, FOR THERMAL CONDUCTIVITY OF SOLUTIONS FILM BOILING FILM BOILING COLLAPSE FILM CONDENSATION FILM CONDUCTANCE METHOD, FOR FILM THICKNESS MEASUREMENT FILM COOLING FILM FLOW RATE MEASUREMENT FILM FLOW REGIMES FILM INVERSION FILM METHOD FILM THICKNESS FILM THICKNESS DETERMINATION BY OPTICAL METHODS FILM THICKNESS IN ANNULAR FLOW Film thickness measurements FILMWISE CONDENSATION FILTERING CENTRIFUGES FILTERS FILTRATE FILTRATION FIN EFFICIENCY FIN EFFICIENCY FACTOR FIN TEMPERATURE EFFECTIVENESS FINITE DIFFERENCE METHODS FINITE ELEMENT METHODS FINITE VOLUME FOR SINGLE-PHASE FLOW Finite-element method for radiation diffusion in nonisothermal and nonhomogeneous media FINNED TUBES FINS FINS, CIRCUMFERENTIAL OR HELICAL FIRE BALLS FIRE POINT FIRE SPRINKLERS FIRE TUBE BOILERS FIRES FIRES SUPPRESSANTS First approach engineering models and useful data FIRST LAW OF THERMODYNAMICS FIRST NORMAL STRESS DIFFERENCE COEFFICIENT FISSILE MATERIAL FISSION FISSION PRODUCTS FISSION REACTION FIXED BED REGENERATORS FIXED BEDS FIXED TUBE SHEET EXCHANGERS FIZ FLAME SPEED, OR VELOCITY FLAME TEMPERATURES FLAMEOUT FLAMES FLAMES, TURBULENT FLAMMABILITY FLAMMABILITY LIMIT FLANGES FLASH DISTILLATION FLASH EVAPORATORS FLASH POINT FLASH SMELTING FLASHING FLOW FLAT PLATE COLLECTOR FLAT PLATE, BOUNDARY LAYER ON FLAT PLATE, COMBINED RADIATION AND CONVECTIVE HEAT TRANSFER TO FLIP-FLOP FLOW IN PARALLEL FLOATING HEADER EXCHANGERS FLOCCULATION Flooding and flow reversal FLOTATION FLOW ACROSS CYLINDERS, TUBES FLOW AND SOLUTE TRANSPORT IN SATURATED POROUS MEDIA FLOW BOILING OF ISO-OCTANE FLOW ENHANCEMENT FLOW EXCURSION INSTABILITIES FLOW IN A CURVED POROUS FLOW INSTABILITIES FLOW LAWS IN METALLIC FOAMS FLOW MALDISTRIBUTION Flow Metering FLOW OF FLUIDS FLOW OSCILLATIONS FLOW PATTERN ANALYSIS OF FLOW BOILING IN MICROGRAVITY FLOW PATTERN MAPS IN MINICHANNELS FLOW PATTERNS FLOW REGIME INDUCED INSTABILITIES, TWO-PHASE SYSTEMS FLOW REGIME RELAXATION INSTABILITIES FLOW REGIMES IN BUBBLE FLOW FLOW REVERSAL FLOW SEPARATION FLOW SPLITTING FLOW VISUALIZATION FLUE GASES Fluid FLUID DYNAMICS FLUID FILLED THERMOMETERS FLUID MECHANICS FLUID-SATURATED POROUS MEDIUM FLUIDICS FLUIDIZATION Fluidized bed FLUIDIZED BED GASIFICATION FLUIDS FLUMES FLUORESCEIN FLUORESCENCE FLUORESCENCE METHOD, FOR FILM THICKNESS MEASUREMENT FLUORESCENCE PHOTOGRAPHY FLUORINE FLUTED TUBES FLUX METHODS FLUX PARAMETER FLYING VEHICLES, AERODYNAMICS OF FMEA, FAILURE MODES AND EFFECTS ANALYSIS FOAM FRACTIONATION FOAM METALLIC FOGGING FOGGING IN CONDENSERS FOKKER-PLANK EQUATION FORCED CONVECTION FORCED CONVECTION BOILING FORCED DRAFT AIR COOLED HEAT EXCHANGERS FORCED VORTEX FOREST FIRES FORM DRAG FORWARD SWEPT AXIAL COMPRESSOR ROTORS FOSSIL FUEL FIRED BOILERS FOSSIL FUELS FOULING FOULING FACTORS FOULING RESISTANCE FOUR STROKE CYCLE FOURIER ANALYSIS FOURIER EQUATION FOURIER FLUID FOURIER INTEGRAL FOURIER LAW, GENERALIZED FOURIER NUMBER FOURIER SERIES FOURIER SPECTRAL SOLVER Fourier spectroscopy and experimental techniques FOURIER TRANSFORMATION FOURIER'S LAW FOURIER, BARON JEAN BAPTISTE JOSEPH (1768-1830) FOURIER-BESSEL SERIES FRACTAL ATTRACTOR FRACTAL GEOMETRY FRACTIONAL JEFFREY FLUID FRACTIONATION FRACTURE MECHANICS FRACTURE OF SOLID MATERIALS FRACTURE TOUGHNESS FRANCIS TURBINES FRAUNHOFER DIFRACTION FREDHOLM INTEGRAL EQUATIONS FREE BOUNDARY FREE CONVECTION FREE CONVECTION BOUNDARY LAYERS FREE ENERGY FREE JETS Free Molecule Flow FREE SETTLING FREE SURFACE FLOW FREE TURBULENT FLOW FREE VORTEX FREEZE DRYING FREEZING FREEZING FOULING FREEZING POINT DEPRESSION FREONS FRESNEL'S FORMULAS FREYN CHEQUERWORK REFRACTORIES FRICTION COEFFICIENT FRICTION FACTOR Friction factor. Skin- friction coefficient FRICTION FACTORS FOR SINGLE PHASE FLOW IN SMOOTH AND ROUGH TUBES Friction Velocity FRICTIONAL PRESSURE DROP FRIEDEL CORRELATION FRINGE MODEL, FOR LDA FROSSLING MARSHALL EQUATION FROST FORMATION FROSTING FROTH FROTH FLOTATION FROTH FLOW FROUDE NUMBER FROUDE NUMBER, EFFECT ON JET IMPINGEMENT FUEL ASSEMBLIES FUEL CELLS FUEL RODS FUEL TO AIR RATIO FUEL-COOLANT INTERACTION, FCI FUELS FUELS, PROPERTIES OF FUGACITY FUGACITY COEFFICIENT FULLER-SCHETTER-GITTINGS EQUATION, FOR DIFFUSION COEFFICIENT IN GASES Fully developed flow (stabilized flow) FUNCTIONS Fundamental unit of measurement FURNACE FIRED BOILER FURNACE MODELS FURNACES FUSED SILICA OPEN TUBULAR COLUMNS, FSOT FUSION REACTORS FUSION, NUCLEAR FUSION REACTORS
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FOURIER NUMBER

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The Fourier Number (Fo) is a dimensionless group which arises naturally from the nondimensionalization of the conduction equation. It is very widely used in the description and prediction of the temperature response of materials undergoing transient conductive heating or cooling. The significance of the Fourier Number may be exemplified by considering a simple case of one-dimensional conduction. Figure 1 shows an instantaneous temperature profile at some time t during the cooling of a plate, which was initially at temperature Ti throughout, has one side insulated and the other side exposed to some cooling environment. In the absence of any internal energy conversion processes the conduction equation for this system (see Conduction) simplifies to:

where κ is the thermal diffusivity of the material (λ/ρcp). The solution of this equation yields the required information on the spatial temperature distribution at any time t, as represented by the curve in Figure 1.

One-dimensional conduction in a cooled plate.

Figure 1. One-dimensional conduction in a cooled plate.

When a problem is posed in dimensionless form, the resulting solution is widely applicable to other problems in the same class. With transient conduction problems a dimensionless form of the conduction equation is easily obtained by scaling the dependent and independent variables using some convenient and constant system parameters. Choosing the initial, constant, temperature (Ti) and the plate width (L), a dimensionless temperature (θ = T/Ti) and dimensionless position (X = x/L) can be defined so that the conduction equation is transformed to:

To complete the nondimensionalization process a dimensionless time. κt/L2, the Fourier Number, is introduced so that the completely dimensionless form of the conduction equation becomes:

Solutions to transient conduction problems are often presented with a dimensionless temperature expressed as a function of Fourier Number [see Rohsenow et al. (1985)].

REFERENCES

Rohsenow, W. M., Hartnett, J. P. and Ganic, E. N. (1985) Handbook of Heat Transfer, 2nd ed., McGraw-Hill, New York.

References

  1. Rohsenow, W. M., Hartnett, J. P. and Ganic, E. N. (1985) Handbook of Heat Transfer, 2nd ed., McGraw-Hill, New York.

Following from:

CONDUCTION

Leading to:

TRANSIENT CONDUCTION

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