714 Appendix A: Some thermophysical properties of selected materialsTable A.6 Thermophysical properties of gases at atmospheric... Appendix A: Some thermophysical properties of selected
Trang 1714 Appendix A: Some thermophysical properties of selected materials
Table A.6 Thermophysical properties of gases at atmospheric
Trang 2Appendix A: Some thermophysical properties of selected materials 715
TableA.6: gases at 1 atm…continued.
Trang 3716 Appendix A: Some thermophysical properties of selected materials
TableA.6: gases at 1 atm…continued.
Trang 4Appendix A: Some thermophysical properties of selected materials 717
TableA.6: gases at 1 atm…continued.
Trang 5718 Appendix A: Some thermophysical properties of selected materials
TableA.6: gases at 1 atm…continued.
Trang 6Appendix A: Some thermophysical properties of selected materials 719
Table A.7 Physical constants from 1998 CODATA The 1σ
uncertainties of the last two digits are stated in parentheses.
Avogadro’s number, NA 6.02214199 (47)× 1026 molecules/kmol
Boltzmann’s constant, kB 1.3806503 (24)× 10 −23 J/K
Universal gas constant, R ◦ 8314.472 (15) J/kmol·K
Speed of light in vacuum, c 299,792,458 (0) m/s
Standard acceleration of gravity, g 9.80665 (0) m/s2
Stefan-Boltzmann constant, σ 5.670400 (40)× 10 −8 W/m2K4
Table A.8 Additional physical property data in the text
Page no Data
28 Electromagnetic wave spectrum
52,53 Additional thermal conductivities of metals, liquids, and gases
Trang 8B Units and conversion factors
The reader is certainly familiar with the Système International d’ Unités
(the “S.I System”) and will probably make primary use of it in later work.
But the need to deal with English units will remain with us for many
years to come We therefore list some conversion factors from English
units to S.I units in this appendix Many more conversion factors and
an extensive discussion of the S.I system and may be found in [ B.1 ] The
dimensions that are used consistently in the subject of heat transfer are
length, mass, force, energy, temperature, and time We generally avoid
using both force and mass dimensions in the same equation, since force
is always expressible in dimensions of mass, length, and time, and vice
versa We do not make a practice of eliminating energy in terms of force
times length because the accounting of work and heat is often kept
sep-arate in heat transfer problems The text makes occasional reference to
electrical units; however, these are conventional and do not have
coun-terparts in the English system, so no electrical units are discussed here.
We present conversion factors in the form of multipliers that may
be applied to English units so as to obtain S.I units For example, the
relationship between Btu and J is
Thus, a given number of Btu may be multiplied by 1055.04 to obtain the
equivalent number of joules We denote this in our tabulation as
although the meaning of the multiplier is clearer if we rearrange eqn ( B.1 )
to display a conversion factor whose numerical worth is unity:
1 = 1055.04 J
Btu
721
Trang 9722 Chapter B: Units and conversion factors
Table B.1 SI Multiplying Factors
“k” denotes multiplication by 1000 (e.g., 1 km = 1000 m) The complete
set of S.I prefixes is given in Table B.1 Table B.2 provides multipliers for a selection of common units.
References
[B.1] B N Taylor Guide to the Use of the International System of Units
(SI) National Institute of Standards and Technology, Gaithersburg,
MD, 1995 NIST Special Publication 811 May be downloaded from NIST’s web pages.
1Shortly after World War II, a group of staff physicists at Boeing Airplane Co swered angry demands by engineers that calculations be presented in English unitswith a report translated entirely into such dimensions as these
Trang 10an-Appendix B: Units and conversion factors 723
Table B.2 Selected Conversion Factors
Trang 11724 Appendix B: Units and conversion factors
W/m ·K = 1.7307 × Btu/hr·ft◦F W/m ·K = 418.68 × cal/s·cm◦C Viscosity (dynamic) Pa ·s = 10−3 × centipoise
The above is the International Table (i.e., steam table) Btu A “mean” Btu of 1055.87 J
is also common Related quantities are: 1 therm = 105Btu; 1 quad = 1015Btu≈ 1 EJ; 1
ton of refrigeration = 12,000 Btu/hr absorbed
bThe calorie represents the heat that raises 1 g of water 1◦C Like the Btu, the caloriehas several values that depend on the initial temperature of the water warmed Theabove is the International Table calorie, or IT calorie A “thermochemical” calorie of4.184 J has also been in common use The dietitian’s “Calorie” is actually 1 kilocalorie
Trang 12C Nomenclature
Count every day one letter of my name;
Before you reach the end, dear, Will come to lead you to my palace halls
A guide whom I shall send, dear.
Abhijña
¯ na S ¯ akuntala ¯ , Ka ¯ lida ¯ sa, 5th C
Arbitrary constants, coefficients, and functions introduced in context
are not included here; neither are most geometrical dimensions
Dimen-sions of symbols are given in S.I units in parenthesis after the definition.
Symbols without dimensions are noted with (–), where it is not obvious.
A, Ac, Ah, Aj
area (m2) or function defined
in eqn (9.41); cross-sectional
area (m2); area of heater (m2);
jet cross-sectional area (m2)
B radiosity (W/m2), or the
function defined in Fig.8.14
Bm,i mass transfer driving force,
eqn (11.97) (–)
b.c boundary condition
b.l boundary layer
C, Cc, Ch heat capacity rate (W/K) or
electrical capacitance (s/ohm)
or correction factor in
Fig.7.17; heat capacity rate
for hot and cold fluids (W/K)
C average thermal molecular
c, cp, cv specific heat, specific heat at
constant pressure, specificheat at constant
Dh hydraulic diameter, 4Ac/P (m)
D12, Dim binary diffusion coefficient
for species 1 diffusing inspecies 2, effective binarydiffusion coefficient for
species i diffusing in mixture
m (m2/s)
725
Trang 13726 Appendix C: Nomenclature
E, E0 voltage, initial voltage (V)
e, eλ emissive power of a black
body (W/m2) or energyequivalent of mass (J);
monochromatic emissivepower (W/m2·µm)
F1-2 radiation view factor for
surface (1) seeing surface (2)
F1-2 gray-body transfer factor
from surface (1) to surface (2)
(6.6260755 × 10 −34J·s);
average heat transfercoefficient (W/m2K); radiationheat transfer coefficient(W/m2K)
h fg latent heat corrected for
sensible heatˆ
hi specific enthalpy of species i
(J/kg)
h ∗ heat transfer coefficient at
zero mass transfer, inChpt.11only (W/m2K)
I electric current (amperes) or
number of isothermalincrements (–)
I0(x) modified Bessel function of
the first kind of order zeroi.c initial condition
J0(x), J1(x)
Bessel function of the firstkind of order zero, of orderone
kT thermal diffusion ratio (–)
L any characteristic length (m)
L0 geometrical mean beam
length (m)
Trang 14Appendix C: Nomenclature 727
LMTD logarithmic mean
temperature difference
an axial length or length into
the paper or mean free
molecular path (m or Å) or
mixing length (m)
M molecular weight (of mixture
if not subscripted) (kg/kmol)
or merit number of heat pipe
m mass flow rate (kg/s) or mass
flux per unit width (kg/m · s)
mi mass fraction of species i (–)
˙
m scalar mass flux of a mixture
(kg/m2·s)
N number of adiabatic channels
(–) or number of rows in a rod
qmaxor qburnout
peak boiling heat flux (W/m2)
qmin minimum boiling heat flux
(m3)
R ideal gas constant per unit
mass, R ◦ /M (for mixture if not subscripted) (J/kg ·K)
R ◦ ideal gas constant, 8314.472
(J/kmol ·K)
Rt, Rf thermal resistance (K/W or
m2·K/W), fouling resistance (m2·K/W)
r , r radial coordinate (m), position
(m2), or shape factor (N/I)
SL, ST rod bundle spacings (m) See
T time constant, ρcV /hA (s)
Trang 15728 Appendix C: Nomenclature
T a long time over which
properties are averaged (s)
t time (s)
U overall heat transfer
coefficient (W/m2K); internalthermodynamic energy (J);
Helmholtz-unstable velocity(m/s)
v ∗ mole average velocity (m/s)
Wk rate of doing work (W)
xi mole fraction of species i (–)
x quality of two-phase flow
∆T any temperature difference;
various values are defined incontext
δ, δc, δt , δ t
flow boundary layer thickness(m) or condensate filmthickness (m); concentrationboundary layer thickness (m);thermal boundary layer
thickness (m); h/k (m).
ε emittance (–); heat exchanger
effectiveness (–); roughness(m)
εA, εAB potential well depth for
molecules of A, for collisions
Trang 16(m); subscripts denote
one-and two-dimensional values
σA, σAB collision diameter of
molecules of A, for collisions of
τw, τyx shear stress on a wall (N/m2),
shear stress in the x-direction
on the plane normal to the
φij weighting functions for
mixture viscosity or thermalconductivity (–)
b, body denoting any body
b denoting a black body
c denoting the critical statecbd denoting a convective boiling
dominated value
D denoting a value based on D
e, et denoting a dynamical entry
length or a free streamvariable; denoting a thermalentry length
f , g denoting saturated liquid and
saturated vapor states
fb denoting a value for flow
boiling
Trang 17730 Appendix C: Nomenclature
i denoting initial or inside
value, or a value that changes
with the index i, or values for the ith species in a mixture
in denoting a value at the inlet
L denoting a value based on L
or at the left-hand side
lo denoting a value computed as
if all fluid were in liquid state
m denoting values for mixturesmax, min denoting maximum or
minimum values
n denoting a value that changes
with the index n
nbd denoting a nucleate boiling
dominated value
o denoting outside, in most
casesout denoting a value at the outlet
R denoting a value based on R
or at the right-hand side
s denoting values above an
interfacesfc denoting conditions at a
surfacesup, sat, sub
denoting superheated,saturated, or subcooled states
w denoting conditions at a wall
u denoting values below an
interface
x denoting a local value at a
given value of x
∞ denoting conditions in a fluid
far from a surface
λ denoting radiative properties
evaluated at a particularwavelength
General superscript
* denoting values for zero net
mass transfer (in Chpt.11
NuL Nusselt number, hL/kfluid
Num,L Nusselt number for mass
transfer (or Sherwood
number) g m,i ∗ L/(ρ Dim)
PeL Péclét number, U L/α = Re Pr
Trang 18Str Strouhal number, fv D/u ∞
WeL Weber number, ρg U2
∞ L/σ
Π any dimensionless group
Trang 20Citation Index
A
Abramovic and Klofutar (1998), 693,
696
Al-Arabi and El-Riedy (1976), 420, 454
Arp, McCarty, and Friend (1998), 694,
Baidakov and Sulla (1985), 466, 517
Barrow and Sitharamarao (1971), 414,
Berdahl and Fromberg (1982), 576, 593
Berdahl and Martin (1984), 577, 593
Bich, Millat, and Vogel (1990), 694, 697
Binney, Dong, and Lienhard (1986),
467, 517
Bird, Stewart, and Lightfoot (1960), 48
Boelter, Cherry, Johnson, and
496, 520Bromley (1950), 486, 487, 519Bronowski (1973), 220, 265Buckingham (1914), 151, 190Buckingham (1915), 151, 190
C
Carslaw and Jaeger (1959), 46, 215,
226, 232, 233, 235, 246, 248,265
Catton (1978), 426, 455Cebeci (1974), 418, 419, 453Cercignani (2000), 619, 686Chapman and Cowling (1964), 611,
612, 614, 685Chen and Armaly (1987), 427, 455Chen (1963), 499, 520
Chexal, Horowitz, McCarthy, Merilo,
Sursock, Harrison, Peterson,Shatford, Hughes,
Ghiaasiaan, Dhir, Kastner,and Köhler (1999), 505, 522Childs and Hanley (1968), 619, 686Chilton and Colburn (1934), 666, 687Churchill and Bernstein (1977), 378,
379, 395Churchill and Chu (1975), 404, 412,
416, 417, 453Churchill and Ozoe (1973), 306, 310,
338Churchill (1976), 327, 339Churchill (1977), 426, 455Clausing and Berton (1989), 422, 454Colburn (1933), 360, 394
733
Trang 21734 Citation Index
Collier and Thome (1994), 47, 498,
504, 506, 520Considine (1975), 128, 136Corriher (1997), 256, 266
D
Dadarlat, Gibkes, Bicanic, and Pasca
(1996), 693, 696Davis and Anderson (1966), 494, 520Ded and Lienhard (1972), 484, 519deReuck and Craven (1993), 693, 696Dergarabedian (1953), 231, 266Dhir and Lienhard (1971), 430, 436,
439, 455, 486, 519Dhir (1975), 429, 430, 455Drew and Mueller (1937), 459, 517Duffie and Beckman (1991), 575, 578,
581, 593Dukler and Taitel (1985), 503, 521Dunn and Reay (1994), 511, 512, 522
E
Eckert and Drake (1972), 691, 692, 694Eckert and Drake (1987), 46, 235, 266,
405, 453Edwards and Matavosian (1984), 570,
574, 592Edwards (1976), 569, 574, 592Edwards (1981), 536, 574, 592Einstein (1956), 620, 687
F
Farlow, Thompson, and Rosner (1976),
163, 190Fay and Gollub (2002), 579, 593Fenghour, Wakeham, and Vesovic
(1998), 692–694Fenghour, Wakeham, Vesovic, Watson,
Millat, and Vogel (1995),692–694
Fourier (1955), 46Fraas (1989), 128, 136Fried and Idelchik (1989), 128, 136Fröba, Will, and Leipertz (2000), 466,
517Fujii and Imura (1972), 420, 423, 454
Glasstone, Laidler, and Eyring (1941),
622, 687Gnielinski (1976), 361, 394Goldstein (1938), 405, 407, 453Graetz (1885), 352, 394Granville (1989), 321, 338Granville (1990), 321, 338Gregorig, Kern, and Turek (1974), 441,
442, 456Gungor and Winterton (1987), 501,
503, 521
H
Haaland (1983), 363, 394Hahne and Grigull (1975), 244–246,
266Hansen, Ruedy, Sato, Imhoff,
Lawrence, Easterling,Peterson, and Karl (2001),
580, 593Harvey, Peskin, and Klein (2000),
693–695Hatfield and Edwards (1981), 423, 454Heisler (1947), 208, 265
Hennecke and Sparrow (1970), 174,
175, 191Herzberg (1989), 566, 592Hewitt (1982), 504, 521Hewitt (1998), 48, 128, 136, 467, 487,
518Hirschfelder, Bird, and Spotz (1948),
617, 686Hirschfelder, Curtiss, and Bird (1964),
614, 615, 619, 686
Ho, Powell, and Liley (1974), 692–694Hottel and Sarofim (1967), 47, 570,
574, 592Houghton (1985), 576, 593Howell (2001), 542, 592Hsu and Graham (1986), 47Hsu (1962), 467, 517
Trang 22Citation Index 735
I
International Association for the
Properties of Water and
Steam (1994), 465, 517
Iqbal (1983), 575, 593
J
Jacobsen, Penoncello, Breyerlein,
Clark, and Lemmon (1992),
Kadambi and Drake (1959), 423, 455
Kadoya, Matsunaga, and Nagashima
(1985), 693, 696
Kalish and Dwyer (1967), 383, 396
Kandlikar and Nariai (1999), 501, 515,
King, Hsueh, and Mao (1965), 622, 687
Kraus, Aziz, and Welty (2001), 181,
Friend (2000), 693, 696Lemmon, McLinden, and Friend
(2000), 693, 696Lemmon, Peskin, McLinden, and
Friend (2000), 693, 695Leonard, Sun, and Dix (1976), 487, 519Lewis (1922), 666, 687
Li and Chang (1955), 621, 687Libby (1996), 330, 339Lienhard and Dhir (1973), 479, 480,
484, 518Lienhard and Witte (1985), 491, 519Lienhard and Wong (1964), 488, 519Lienhard, Dhir, and Riherd (1973),
479, 484, 518Lienhard (1966), 375, 376, 395Lienhard (1973), 420, 453Lloyd and Moran (1974), 422, 454Lubarsky and Kaufman (1955), 365,
367, 395Lyon (1952), 367, 395
M
Madhusudana (1996), 66, 96Marner and Suitor (1987), 84, 97Marrero and Mason (1972), 612, 654,
686Marto (1998), 442, 443, 456, 506, 507,
522Mason and Saxena (1958), 625, 687McAdams (1954), 46
McCarty and Arp (1990), 694, 697Mehendale, Jacobi, and Shah (2000),
351, 393Meyer, McClintock, Silvestri, and
Spencer (1993), 692–694Millat, Dymond, and Nieto de Castro
(1996), 619, 625, 686Mills (1998), 667, 688
Mills (1999), 207, 265Mills (2001), 48, 669, 673, 688Modest (1993), 47, 536, 553, 563, 592Mohr and Taylor (1999), 694, 697Morse and Feshbach (1953), 245, 266Müller-Steinhagen (1999), 84, 97
Trang 23Nukiyama (1934), 457, 517Nusselt (1915), 403, 452Nusselt (1916), 430, 455
Nieto de Castro (1991), 693,697
Perry, Green, and Maloney (1997), 128,
136Petukhov (1970), 323, 338, 360, 361,
394Pioro (1999), 469, 518Pitschmann and Grigull (1970), 487,
519Plesset and Zwick (1954), 231, 265Poirier and Geiger (1994), 48, 612,
639, 686Pope (2000), 330, 339Poulikakos (1994), 46Prausnitz, Lichtenthaler, and
de Azevedo (1986), 631, 687
R
Raithby and Hollands (1998), 419, 422,
423, 425, 426, 453Ramilison and Lienhard (1987), 491,
519Ramilison, Sadasivan, and Lienhard
(1992), 492, 520Ravigururajan and Bergles (1996), 364,
395Rayleigh (1915), 151, 190Reed (1987), 366, 395
Reid, Prausnitz, and Poling (1987),
612, 613, 619, 620, 623–625,686
Restrepo and Glicksman (1974), 423,
454Reynolds (1874), 311, 338Reynolds (1974), 598, 685Rich (1953), 420, 454Rohsenow and Choi (1961), 46Rohsenow and Hartnett (1973), 66, 96Rohsenow, Hartnett, and Cho (1998),
48, 385, 396Rohsenow (1952), 468–471, 518Rohsenow (1956), 432, 455Rose, Uehara, Koyama, and Fujii
(1999), 442, 443, 456Rose, Utaka, and Tanasawa (1999),
507, 522Rüdenberg (1925), 244, 246, 266
S
Sadasivan and Lienhard (1987), 434,
455, 486, 519Sanders and Holman (1972), 403, 452Schetz (1984), 47, 321, 338
Schlichting and Gersten (2000), 47Schlichting (1968), 279, 286, 303, 325,
338Schneider (1955), 181, 191Schneider (1963), 215, 265Schrock and Grossman (1962), 501,
521Scriven (1959), 231, 265Seban and Shimazaki (1951), 366, 395Sellars, Tribus, and Klein (1956), 352,
394Sernas (1969), 472, 518Shah and Bhatti (1987), 352, 353, 393Shah and London (1978), 352, 373,
374, 394Shah and Sekulic (1998), 84, 97, 128,
136Shah (1982), 501, 521Shamsundar (1982), 117, 136Sharan and Lienhard (1985), 496, 520Shekriladze and Gomelauri (1966),
506, 522Sieder and Tate (1936), 360, 394