Configuration | Description |
Local Flat Plate Heating, Forced Convection | |
A | = | ratio of bed surface area to bed volume. See Correlation 52 Forced Convection Through a Packed Bed (Ref. 8 in Appendix A), 411 and Correlation 53 Forced Convection Through a Packed Bed (Ref. 8 in Appendix A), 412. |
a | = | diffusivity, |
As | = | surface area. |
Cp | = | constant pressure specific heat. |
CSF | = | experimental constant for Correlation 50 Filmwise Condensation on Horizontal Tube (Ref. 6 in Appendix A), 407. See Ref. 6 in Appendix A. |
D | = | diameter. |
EPSI | = | fluid/tube void fraction for Correlation 21 Vertical Plate in Horizontal Flow, Forced Convection (Ref. 6 in Appendix A), 370. See Ref. 6 in Appendix A. |
g | = | gravitational constant. |
Go | = | |
Gr | = | Grashof number, |
Gz | = | Graetz number, |
H | = | convective heat transfer coefficient. |
Hfg | = | enthalpy of phase change. |
k | = | thermal conductivity of fluid. |
Ke | = | equivalent thermal conductivity of convective region. |
L | = | length. |
LMTD | = | log mean temperature difference. |
μm | = | viscosity, usually at free-stream temperature. |
μB | = | viscosity at fluid bulk temperature. |
μf | = | viscosity at film temperature. |
μf | = | viscosity of liquid. |
μw | = | viscosity, usually at wall temperature. |
Nu | = | Nusselt Number, |
f | = | angle, in radians. |
Pr | = | Prandtl number, |
y | = | |
Ra | = | Rayleigh number, Gr Pr. |
Re | = | Reynolds number, |
ρv | = | density of liquid. |
ρv | = | density of vapor. |
S | = | empirical liquid constant for Correlation 50 Filmwise Condensation on Horizontal Tube (Ref. 6 in Appendix A), 407 S = 1.0 for water; S = 1.7 for all other liquids. |
TB | = | temperature of bulk fluid. |
Tf | = | temperature of film, average of bulk and wall |
Tw | = | temperature of wall. |
ΔTo | = | T1 - T2 |
ΔTL | = | T1 - T3 |
Node Number | 1 | = | tube/element inside wall temperature, . |
2 | = | fluid entrance temperature, . | |
3 | = | fluid exit temperature, . | |
GP1 | 1 | = | tube/element inside surface area, . |
2 | = | distance from upstream tube/element section to the tube inlet, . | |
3 | = | distance from downstream tube/element section to the tube inlet, . | |
4 | = | tube/element inside diameter, . | |
5 | = | average fluid velocity, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | tube/element inside wall temperature, . |
2 | = | fluid entrance temperature, . | |
3 | = | fluid exit temperature, . | |
GP1 | 1 | = | tube/element inside surface area, . |
2 | = | distance from upstream tube/element section to the tube inlet, . | |
3 | = | distance from downstream tube/element section to the tube inlet, . | |
4 | = | tube/element inside diameter, . | |
5 | = | average fluid velocity, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | plate/element surface temperature, . |
2 | = | free-stream fluid temperature, . | |
GP1 | 1 | = | plate/element surface area, /element. |
2 | = | shortest distance from the plate/element’s surface area to the plate’s leading edge, . | |
3 | = | longest distance from the plate/element’s surface area to the plate’s leading edge, . | |
4 | = | free-stream fluid velocity, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | tube outside wall temperature, . |
2 | = | fluid free-stream temperature, . | |
GP1 | 1 | = | tube/outside surface area, . |
2 | = | tube/outside diameter, D. | |
3 | = | fluid free-stream velocity, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | tube outside wall temperature, . |
2 | = | gas free-stream temperature, . | |
GP1 | 1 | = | tubes outside surface area, . |
2 | = | length of square tube's diagonal, D. | |
3 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas specific heat, . | |
4 | = | gas thermal conductivity, k. |
Node Number | 1 | = | tube outside wall temperature, . |
2 | = | gas free-stream temperature,. | |
GP1 | 1 | = | tubes outside surface area, . |
2 | = | length of one side of tube’s square, D. | |
3 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas specific heat, . | |
4 | = | gas thermal conductivity, k. |
Node Number | 1 | = | tube outside tube wall temperature, . |
2 | = | gas free-stream temperature, . | |
GP1 | 1 | = | tubes outside surface area, . |
2 | = | distance between parallel sides, L. | |
3 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas specific heat, . | |
4 | = | gas thermal conductivity, k. |
Node Number | 1 | = | tube outside wall temperature, . |
2 | = | gas free-stream temperature, . | |
GP1 | 1 | = | tubes outside surface area, . |
2 | = | distance between parallel sides, L. | |
3 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas specific heat, . | |
4 | = | gas thermal conductivity, k. |
Node Number | 1 | = | plate surface temperature, . |
2 | = | gas free-stream temperature, . | |
GP1 | 1 | = | plate/element surface area, . |
2 | = | shortest distance from element to plate’s edge, . | |
3 | = | longest distance from element to plate’s edge, . | |
4 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas specific heat, . | |
4 | = | gas thermal conductivity, k. |
Node Number | 1 | = | sphere wall temperature, . |
2 | = | gas free-stream temperature, . | |
GP1 | 1 | = | sphere’s surface area, . |
2 | = | sphere diameter, . | |
3 | = | gas free-stream velocity, . | |
MPID | 1 | = | gas density, . |
2 | = | gas absolute viscosity, . | |
3 | = | gas thermal conductivity, k. |
Node Number | 1 | = | sphere wall temperature, . |
2 | = | fluid free-stream temperature, . | |
GP1 | 1 | = | sphere’s surface area, . |
2 | = | sphere diameter, . | |
3 | = | fluid free-stream velocity, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | tube wall temperatures, T. |
2 | = | fluid free-stream temperatures, . | |
GP1 | 1 | = | tube's elements outside surface area, . |
2 | = | tube outside diameter, D. | |
3 | = | fluid free-stream velocity, . | |
4 | = | void fraction (area of flow with tubes divided by area of flow without tubes). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | plate surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | plate/element's surface area, . |
2 | = | for vertical or inclined plates, shortest distance between the plate/element’s surface area and the plate’s edge where the boundary layer thickness is zero. For example, on a heated vertical plate exposed to a relatively cooler gas, the buoyancy driven convective flow will be upward and hence the boundary layer is of zero thickness at the plate’s bottom edge. You would then enter the shortest distance between the plate/elements area and the bottom edge of the plate, . For horizontal plates, this value is the surface area divided by the plate perimeter. | |
3 | = | ignored for horizontal plates. For vertical and inclined plates, this is the longest distance to the plate’s edge where the boundary layer thickness is zero, . | |
4 | = | plate inclination angle PHI in degrees. implies the plate is vertical. implies the plate is horizontal and facing upward. implies the plate is horizontal and facing downward. must be between -90 and +90. The only correlation in the library for inclined plate is for the hot surfaces down or cold surfaces up. | |
5 | = | gravitational constant, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | block surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | block’s surface area, . |
2 | = | gravitational constant, . | |
3 | = | characteristic length L, where: L = F(LH * LV,LH + LV) and: LH = the longer of the two horizontal dimensions. LV = the vertical dimension. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | cylinder outside surface temperature, . |
2 | = | fluid free-stream temperature, . | |
GP1 | 1 | = | cylinder’s outside surface area, . |
2 | = | gravitational constant, . | |
3 | = | cylinder outside diameter, D. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | sphere surface temperature, . |
2 | = | fluid free-stream temperature, . | |
GP1 | 1 | = | sphere’s surface area, . |
2 | = | gravitational constant, . | |
3 | = | sphere diameter, D. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | top plate, low or surface temperature, . |
2 | = | bottom plate, upper surface temperature, . | |
GP1 | 1 | = | plate/element’s surface area that is exposed to the enclosed space, . |
2 | = | enclosed space inclination angle PHI in degrees. implies that the enclosed space is horizontal. implies that the space is vertical. | |
3 | = | gravitational constant, . | |
4 | = | length of the enclosed space, L. | |
5 | = | distance between the flat plates, D. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | outer sphere surface temperature, . |
2 | = | inner sphere surface temperature, . | |
GP1 | 1 | = | surface area, of inner diameter of larger sphere, . |
2 | = | radius at the location of the resistor surface area. | |
3 | = | gap (distance between spheres), D. | |
4 | = | radius of the inner sphere, . | |
5 | = | gravitational constant, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | plate surface temperature, . |
2 | = | fluid free-stream temperature, . | |
GP1 | 1 | = | plate/element’s surface area, . |
2 | = | shortest distance between plate/element’s surface area and the surface edge whose boundary layer thickness is zero, | |
3 | = | longest distance between plate/element’s surface area and the surface edge whose boundary layer thickness is zero, . | |
4 | = | plate inclination angle in degrees from the horizontal. The value of must be such that 0 < < 90, inclusive. | |
5 | = | gravitational constant, . | |
6 | = | estimated applied heat flux. QTRAN will constantly update this value to reflect the actual heat flux applied to the surface. QTRAN will use your input value only as an initial guess at the heat flux. Zero is an allowed guess, q. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | plate 1’s surface temperature (arbitrary), . |
2 | = | plate 2’s surface temperature (arbitrary), . | |
GP1 | 1 | = | plate/element’s surface area that is exposed to the enclosed space, . |
2 | = | gravitational constant, . | |
3 | = | perpendicular distance between plates, D. | |
4 | = | height of the enclosed space, . | |
5 | = | estimated applied heat flux. QTRAN will constantly update this value to reflect the actual heat flux applied to the surface. QTRAN will use your input value only as an initial guess at the heat flux q. Zero is an allowed guess. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | tube/element inside wall temperature, . |
2 | = | fluid entrance temperature, . | |
3 | = | fluid exit temperature, . | |
GP1 | 1 | = | tube/element’s surface area on inside of tube, . |
2 | = | shortest distance between element’s fluid exit area and the tube inlet, . | |
3 | = | longest distance between element’s fluid exit area and the tube inlet, . | |
4 | = | gravitational constant, . | |
5 | = | average fluid velocity, . | |
6 | = | tube inside diameter, D. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | plate/element surface temperature, . |
2 | = | vapor temperature, . | |
GP1 | 1 | = | plate/element’s surface area, . |
2 | = | shortest distance between plate/element’s surface area and the top edge of the vertical surface, . | |
3 | = | longest distance between plate/element’s surface area and the top edge of the vertical surface, . | |
4 | = | wetted perimeter of plate/element surface, p. | |
5 | = | mass flow rate of condensate, . | |
6 | = | gravitational constant, . | |
7 | = | vapor saturation temperature, . | |
MPID | 1 | = | liquid density, l |
2 | = | vapor density, | |
3 | = | liquid absolute viscosity, l | |
4 | = | phase change enthalpy, , | |
5 | = | liquid thermal conductivity, kl |
Liquid density. | ||
U | Average film velocity. | |
L | ||
Liquid viscosity. | ||
Mass rate of condensate flow. | ||
P | Wetted perimeter. | |
Liquid conductivity. | ||
Enthalpy of phase change. | ||
Gravitational constant. | ||
L | Surface height. | |
Vapor density. | ||
Saturation temperature. | ||
Wall temperature. |
Liquid density. | ||
U | Average film velocity. | |
L | ||
Liquid viscosity. | ||
Mass rate of condensate flow. | ||
P | Wetted perimeter. | |
Liquid conductivity. | ||
Enthalpy of phase change. | ||
Gravitational constant. | ||
L | Surface height. | |
Vapor density. | ||
Saturation temperature. | ||
Wall temperature. |
Node Number | 1 | = | tube/element outside wall temperature, . |
2 | = | vapor temperature, . | |
GP1 | 1 | = | tube/elements outside surface area . |
2 | = | gravitational constant, . | |
3 | = | vapor saturation temperature, . | |
4 | = | tube outside diameter, . | |
MPID | 1 | = | liquid density, |
2 | = | vapor density, | |
3 | = | liquid absolute viscosity, | |
4 | = | phase change enthalpy, | |
5 | = | liquid thermal conductivity, kl |
Liquid conductivity. | ||
Liquid density. | ||
Vapor density. | ||
Gravitational constant. | ||
Enthalpy of phase change. | ||
Liquid viscosity. | ||
Saturation temperature. | ||
Wall temperature. | ||
Tube diameter. | ||
H | ||
Q |
Node Number | 1 | = | inside wall temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | liquid contact surface area, . |
2 | = | CSF (experimental constant). | |
3 | = | S (liquid constant). S[water] = 1.0 S[other liquids] = 1.7 | |
4 | = | saturation temperature, . | |
MPID | 1 | = | liquid specific heat, c |
2 | = | phase change enthalpy, . | |
3 | = | liquid absolute viscosity, | |
4 | = | liquid surface tension, | |
5 | = | liquid density, | |
6 | = | vapor density, | |
7 | = | liquid thermal conductivity kl |
Specific heat of liquid. | ||
Enthalpy of phase change. | ||
CSF | Experimental constant (see Ref. 6 in Appendix A). | |
Liquid viscosity. | ||
Surface tension at vapor-liquid interface. | ||
S | Liquid constant; 1.0 for water; 1.7 for all other liquids. | |
Saturation temperature. | ||
Wall temperature. | ||
Q | ||
DIFF |
Node Number | 1 | = | bed temperature, . |
2 | = | fluid entrance temperature, . | |
3 | = | fluid exit temperature, . | |
GP1 | 1 | = | bed surface area, . |
2 | = | ratio of bed surface area to bed volume, A. | |
3 | = | mass flux (mass flow/unit cross-sectional area of bed), . | |
4 | = | particle shape factor, . | |
MPID | 1 | = | fluid absolute viscosity, . |
2 | = | fluid specific heat, . | |
3 | = | fluid thermal conductivity, k. |
Fluid specific heat at bulk temperature. | ||
Mass flux rate. | ||
A | ratio = surface area/volume of bed | |
y | Particle shape factor, as follows: 1.00 (spheres) 0.91 (cylinders) 0.86 (flakes) 0.79 (raschig rings) 0.67 (partition rings) 0.80 (berl saddles) | |
Absolute viscosity at film temperature. | ||
Pr | Prandtl number at film temperature. | |
Re | ||
H | ||
Q | = |
Fluid specific heat at bulk temperature. | ||
Mass flux rate. | ||
A | ratio = surface area/volume of bed | |
y | Particle shape factor, as follows: 1.00 (spheres) 0.91 (cylinders) 0.86 (flakes) 0.79 (raschig rings) 0.67 (partition rings) 0.80 (berl saddles) | |
Absolute viscosity at film temperature. | ||
Pr | Prandtl number at film temperature. | |
Re | ||
H | ||
Q |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | generic convection correlation coefficient, GP (2). | |
3 | = | generic convection correlation exponent, GP (3). | |
MPID | (Not used) |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | gravitational constant, . | |
3 | = | characteristic length, . | |
4 | = | coefficient for convective equation, GP (4). | |
5 | = | Grashoff number exponent, GP (5). | |
6 | = | Prandtl number exponent, GP (6). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | characteristic length used for Reynolds number, . | |
3 | = | fluid free stream velocity, . | |
4 | = | coefficient for correlation, GP (4). | |
5 | = | Prandtl number exponent, GP (5). | |
6 | = | Reynolds number exponent, GP (6). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
MPID | 1 | = | H value (entered as a material property). This value is evaluated as a function of the average of the two nodes' temperatures. If the MPID is flagged with time as the independent variable, it will be used instead of the average temperature. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
MPID | 1 | = | H value (entered as a material property). This value is evaluated as a function of the absolute value of the temperature difference of the two nodal temperatures. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | constant H value. | |
MPID | (Not used) |
Node Number | 1 | = | disk element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | element’s resistor’s surface area inner radius. | |
3 | = | element’s resistor’s surface area outer radius. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | disk rotation speed, radians/time, . |
Node Number | 1 | = | tube/element inside wall temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | tube/element’s inside surface area. |
2 | = | distance from upstream tube section to the tube inlet, . | |
3 | = | distance from downstream tube section to the tube inlet, . | |
4 | = | tube inner diameter, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | average fluid velocity, . |
Note: | This configuration is identical to Configuration 1, 348 and its accompanying correlations, except that it requires only 2-noded resistors and uses DT instead of an LMTD. |
Node Number | 1 | = | tube/element inside wall temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | tube/element’s inside surface area, . |
2 | = | distance from upstream tube section to the tube inlet, . | |
3 | = | distance from downstream tube section to the tube inlet, . | |
4 | = | tube inside diameter, . | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | average fluid velocity, . |
Note: | This configuration is identical to Configuration 2, 352 and its accompanying correlations, except that it requires only 2-noded resistors and uses DT instead of an LMTD. |
Node Number | 1 | = | tube inside wall temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | tube/element’s inside surface area, . |
2 | = | distance from upstream tube section to the tube inlet, . | |
3 | = | distance from downstream tube section to the tube inlet, . | |
4 | = | gravitational constant, . | |
5 | = | tube inside diameter, D. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid coefficient of thermal expansion, . | |
4 | = | fluid specific heat, . | |
5 | = | fluid thermal conductivity, k. | |
6 | = | average fluid velocity, . |
Note: | This configuration is identical to Configuration 21, 399 and its accompanying correlations, except that it requires only 2-noded resistors and uses DT instead of an LMTD. |
Node Number | 1 | = | bed temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | bed surface area, . |
2 | = | ratio of bed surface area to bed volume, A. | |
3 | = | particle shape factor, . | |
MPID | 1 | = | fluid absolute viscosity, . |
2 | = | fluid specific heat, . | |
3 | = | fluid thermal conductivity, k. | |
4 | = | mass flux (mass flow/unit cross-sectional area of bed), . |
Note: | This configuration is identical to Configuration 25, 411 and its accompanying correlations, except that it requires only 2-noded resistors and uses DT instead of an LMTD. In addition, this configuration allows the mass flux to be a variable rather than a constant as is the case with Configuration 25, 411. |
Node Number | 1 | = | surface temperature of surface 1, . |
2 | = | surface temperature of surface 2, . | |
GP1 | 1 | = | element’s surface area, A. |
2 | = | rms roughness (meters) of surface , | |
3 | = | rms roughness (meters) of surface , | |
4 | = | mean free path at 15and 1 atm, . | |
5 | = | temperature jump ratio | |
6 | = | scale factor (usually 1.0), F. | |
MPID | 1 | = | interstitial fluid thermal conductivity |
2 | = | thermal conductivity surface #1 | |
3 | = | thermal conductivity surface #2 | |
4 | = | contact pressure (Pascals), . | |
5 | = | strength of surface #1 or surface #2, whichever is softest (Pascals), . | |
6 | = | fluid pressure, (Pascals), . |
Fluid thermal conductivity. | ||
Equivalent fluid thickness. |
the maximum distance between surfaces and as a first approximation can be taken as twice the mean roughness of each surface. | ||
l | temperature jump distance and based on molecular-kinetic concepts and is defined: where a = accommodation coefficient and = fluid molecules’ mean free path. |
Gas | a | 2l/ | |
Air | 0.83 | 9.6 x 10-8 | 4.6 |
Hydrogen | 0.20 | 16.0 x 10-8 | 22.1 |
Helium | 0.38 | 28.5 x 10-8 | 14.8 |
Argon | 0.85 | 10.0 x 10-8 | 5.1 |
P | contact pressure, Pascals, . | |
strength of the softest material, Pascals, . | ||
effective thermal conductivity of the material combination. | ||
C = 1.0 | if | > | ||||
if | < | < | ||||
if | < |
Note: | The 14.42 is an adjustment from what was defined in the reference in order to provide a continuous function. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | characteristic length used for Reynolds number, . | |
3 | = | fluid free stream velocity, . | |
4 | = | coefficient for correlation, GP (4). | |
5 | = | Prandtl number exponent, GP (5). | |
6 | = | Reynolds number exponent, GP (6). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | fluid velocity, variable dependence. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | Heat Transfer Coefficient Scale factor. | |
MPID | 1 | = | Heat Transfer Coefficient Variable Definition. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | Heat Transfer Coefficient Scale factor. | |
MPID | 1 | = | Heat Transfer Coefficient Variable Definition. |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | characteristic length used for Reynolds number, . | |
3 | = | fluid free stream velocity, . | |
4 | = | coefficient for correlation, GP (4). | |
5 | = | Prandtl number exponent, GP (5). | |
6 | = | Reynolds number exponent, GP (6). | |
7 | = | Viscosity Exponent if heating fluid, GP(7). | |
8 | = | Viscosity Exponent if cooling fluid, GP(8). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | fluid velocity, variable dependence |
Node Number | 1 | = | element surface temperature, . |
2 | = | fluid temperature, . | |
GP1 | 1 | = | element’s surface area, . |
2 | = | characteristic length used for Reynolds number, . | |
3 | = | fluid free stream velocity, . | |
4 | = | coefficient for correlation, GP (4). | |
5 | = | Prandtl number exponent, GP (5). | |
6 | = | Reynolds number exponent, GP (6). | |
7 | = | Temperature Exponent if heating fluid, GP(7). | |
8 | = | Temperature Exponent if cooling fluid, GP(8). | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | fluid velocity, variable dependence. |
Node Number | 1 | = | plate/element surface temperature, . |
2 | = | free-stream fluid temperature, . | |
GP1 | 1 | = | plate/element surface area, /element. |
2 | = | distance to the plate’s leading edge, . | |
3 | = | free-stream fluid velocity, x=L scale factor. | |
MPID | 1 | = | fluid density, . |
2 | = | fluid absolute viscosity, . | |
3 | = | fluid specific heat, . | |
4 | = | fluid thermal conductivity, k. | |
5 | = | variable fluid velocity. |
SUBROUTINE UHVAL (ICFIG, IRESIS, COEFF, EXPO, MPID, GP,
T1, T2, GVALH, Q, LOGP, J1, J2, J3, J4, J6)
INTEGER | ICFIG, IRESIS, MPID, J1, J2, J3, J4, J6 |
LOGICAL | LOGP |
REAL*8 | COEFF, EXPO,GP, T1, T2, GVALH, Q |
ICFIG | Configuration type (CFIG value). This value will always come to be as 1000 or greater. Use the ICFIG integer to choose between one or more of the convection configurations. |
IRESIS | The convective resistor number whose heat flow is being calculated. This integer is used to point into the correct row of the GP and MPID arrays. |
COEFF | Material Property Data. |
EXPO | Material Property Data. |
MPID | MPIDs assigned by the user to the convective resistor. |
GP | Geometric Property data assigned by the user to the convective resistor. |
T1 | Temperature of node 1. |
T2 | Temperature of node 2. |
LOGP | If LOGP = .TRUE., the routine is being called to dump any resistor data to the output file. |
J1-J4, J6 | Dimensions for the COEFF, EXPO, MPID and GP arrays. |
GVALH | The “conductance” of the resistor, equal to the product of the h value and the resistor area. |
Q | Heat flow from node 1 to node 2 through the resistor. |