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Baffle leakage in shell-and-tube heat exchangers:
Baffles in shell-and-tube heat exchangers:
Baker flow regime map for horizontal gas-liquid flow,
Balance equation (applied to complete equipment),
Band dryer:
Bandel and Schlunder correlations, for boiling in horizontal tubes,
Basket-type evaporator,
Barbosa, J R Jr,
Bateman, G,
Bayonet tube heat exchangers, constructional features of,
Bayonet tube evaporators,
Beaton, C F,
Beer-Lambert law,
Bejan, A,
Bell-Delaware method for shell-side heat transfer and pressure drop in shell-and-tube heat exchangers,
Bell and Ghaly method for calculation of multicomponent condensation,
Benard cells in free convection in horizontal fluid layers,
Bends:
Benzaldehyde:
Benzene:
Benzoic acid:
Benzonitrile:
Benzophenone:
Benzyl alcohol:
Benzyl chloride:
Berenson equation for pool film boiling from a horizontal surface,
Bergles, Arthur E,
Bernoulli equation, application to flow across cylinders,
Bimetallic tubes:
Binary mixtures:
Bingham fluid (non-Newtonian),
Biofouling,
Biot number:
Biphenyl:
Bismarck A,
Black liquor, in pulp and paper industry, fouling of heat exchangers by,
Black surface:
Blackbody radiation,
Blades, in scraped surface heat exchangers,
Blake-Carmen-Kozeny equation,
Blasius equation for friction factor,
Blenkin, R,
Blunt bodies, drag coefficients for,
Boilers:
Boiling:
Boiling curve:
Boiling length:
Boiling number, definition,
Boiling point, normal,
Boiling range (in multicomponent mixtures):
Boiling surface in boiling in vertical tubes,
Boiling Water Reactor (BWR), fouling problems in,
Bolted channel head in shell-and-tube exchanger,
Bolted cone head in shell-and-tube heat exchanger,
Bolted joints, thermal contact resistance in,
Bolting,
Bolting of flanges in shell-and-tube heat exchangers,
Boltzmann's constant,
Bonnet head, in shell-and-tube heat exchanger,
Borishanski, V M,
Borishanski correlation for nucleate pool boiling,
Bott, T R,
Boundary layer:
Boussinesq approximations:
Boussinesq number, definition,
Bowring correlations for critical heat flux,
Bracket supports for heat exchangers:
Brauner, N,
Brazed plate exchanger,
Brazing in plate fin heat exchanger construction,
Bricks, drying of,
Brine recirculation, in multistage flash-evaporation,
Brinkman number,
Brittle fracture,
Bromine:
Bromley equation for film boiling from horizontal cylinders,
Bromobenzene:
Bromoethane:
Bromomethane:
Bromotrifluoromethane (Refrigerant 13B1):
Brush and cage system, for fouling mitigation,
BS 5500 code for mechanical design of shell-and-tube heat exchangers (see also PD 5500),
Bubble crowding as mechanism of critical heat flux,
Bubble flow:
Bubbles:
Bulk viscosity,
Bundle-induced convection in kettle reboilers,
Bundle layout, in condensers
Buoyancy effects:
Buoyancy-induced flow in channels, free convective heat transfer with,
Busemann-Crocco integral, application in boundary layer equations,
1,2-Butadiene:
1,3-Butadiene:
Butane:
1-Butanol:
2-Butanol:
Butene-1:
cis-2-Butene:
trans-2-Butene:
Butterworth, D,
Butyl acetate:
t-Butyl alcohol:
Butylamine:
Butylbenzene:
n-Butylbenzene:
n-Butylcyclohexane:
Butylcyclopentane:
Butylene oxide:
Butyr-aldehyde:
Butyric acid:
Butyronitrile:
Bypass (shell-and-tube bundle):
Index
HEDH
A
B
Baffle leakage in shell-and-tube heat exchangers:
Baffles in shell-and-tube heat exchangers:
Baker flow regime map for horizontal gas-liquid flow,
Balance equation (applied to complete equipment),
Band dryer:
Bandel and Schlunder correlations, for boiling in horizontal tubes,
Basket-type evaporator,
Barbosa, J R Jr,
Bateman, G,
Bayonet tube heat exchangers, constructional features of,
Bayonet tube evaporators,
Beaton, C F,
Beer-Lambert law,
Bejan, A,
Bell-Delaware method for shell-side heat transfer and pressure drop in shell-and-tube heat exchangers,
Bell and Ghaly method for calculation of multicomponent condensation,
Benard cells in free convection in horizontal fluid layers,
Bends:
Benzaldehyde:
Benzene:
Benzoic acid:
Benzonitrile:
Benzophenone:
Benzyl alcohol:
Benzyl chloride:
Berenson equation for pool film boiling from a horizontal surface,
Bergles, Arthur E,
Bernoulli equation, application to flow across cylinders,
Bimetallic tubes:
Binary mixtures:
Bingham fluid (non-Newtonian),
Biofouling,
Biot number:
Biphenyl:
Bismarck A,
Black liquor, in pulp and paper industry, fouling of heat exchangers by,
Black surface:
Blackbody radiation,
Blades, in scraped surface heat exchangers,
Blake-Carmen-Kozeny equation,
Blasius equation for friction factor,
Blenkin, R,
Blunt bodies, drag coefficients for,
Boilers:
Boiling:
Boiling curve:
Boiling length:
Boiling number, definition,
Boiling point, normal,
Boiling range (in multicomponent mixtures):
Boiling surface in boiling in vertical tubes,
Boiling Water Reactor (BWR), fouling problems in,
Bolted channel head in shell-and-tube exchanger,
Bolted cone head in shell-and-tube heat exchanger,
Bolted joints, thermal contact resistance in,
Bolting,
Bolting of flanges in shell-and-tube heat exchangers,
Boltzmann's constant,
Bonnet head, in shell-and-tube heat exchanger,
Borishanski, V M,
Borishanski correlation for nucleate pool boiling,
Bott, T R,
Boundary layer:
Boussinesq approximations:
Boussinesq number, definition,
Bowring correlations for critical heat flux,
Bracket supports for heat exchangers:
Brauner, N,
Brazed plate exchanger,
Brazing in plate fin heat exchanger construction,
Bricks, drying of,
Brine recirculation, in multistage flash-evaporation,
Brinkman number,
Brittle fracture,
Bromine:
Bromley equation for film boiling from horizontal cylinders,
Bromobenzene:
Bromoethane:
Bromomethane:
Bromotrifluoromethane (Refrigerant 13B1):
Brush and cage system, for fouling mitigation,
BS 5500 code for mechanical design of shell-and-tube heat exchangers (see also PD 5500),
Bubble crowding as mechanism of critical heat flux,
Bubble flow:
Bubbles:
Bulk viscosity,
Bundle-induced convection in kettle reboilers,
Bundle layout, in condensers
Buoyancy effects:
Buoyancy-induced flow in channels, free convective heat transfer with,
Busemann-Crocco integral, application in boundary layer equations,
1,2-Butadiene:
1,3-Butadiene:
Butane:
1-Butanol:
2-Butanol:
Butene-1:
cis-2-Butene:
trans-2-Butene:
Butterworth, D,
Butyl acetate:
t-Butyl alcohol:
Butylamine:
Butylbenzene:
n-Butylbenzene:
n-Butylcyclohexane:
Butylcyclopentane:
Butylene oxide:
Butyr-aldehyde:
Butyric acid:
Butyronitrile:
Bypass (shell-and-tube bundle):
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
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Transient Response to a Step Change of Temperature
DOI 10.1615/hedhme.a.000161
2.4 HEAT CONDUCTION
2.4.3 Transient response to a step change of temperature
H. Martin
One-dimensional systems
(a) Series solutions for the temperature field
Transient temperature distributions may always be considered to be due to a perturbation of an initially steady state. In general the perturbation consists of a change in the state of the surroundings at a certain time, t = tinitial. For convenience, tinitial = 0. The temperature distribution is then completely determined for any time t > 0 if the initial distribution is known,1
\[\label{eq1} T (r,0) = T_{I}(r)\quad (\textrm{initial condition, I.C.})\tag{1}\]
and if the state of the surroundings is given for any time greater than zero (boundary condition, B.C.) Generally the B.C.’s may be written
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