Exemplary embodiments of an apparatus and method for equalizing hot fluid exit plane plate temperatures relate to plate-type fluid-to-fluid heat exchangers. More specifically, the embodiments relate to heat exchangers constructed to minimize deleterious effects attributable to cold spots on plates that form a heat exchanger matrix.
A fluid-to-fluid heat exchanger matrix is designed to extract energy from, for example, hot exhaust gas. As the hot gas stream proceeds through the matrix, a cooler opposing gas stream draws thermal energy from the hot gas stream across intervening plates and cools the hot gas stream. Accordingly, toward the end of the hot gas flow path, i.e. the hot gas exit plane, the temperature of the hot gas is low as it comes into contact with a metal surface of a plate that separates incoming cooler gas from the exiting cooled hot gas. At the hot gas exit plane, the plate temperature may be low due to close proximity to the cool gas entry plane. When the hot gas contacts cool or low temperature portions of the metal plate separating the two gas streams, a dew point temperature of hot gas constituents may be reached, and condensation may occur. Thus, when corrosive constituents are present in the gas streams, corrosive condensation or fouling due to particulate accumulation may cause premature failure of the heat exchanger matrix.
An ideal fluid-to-fluid heat exchanger (hereinafter a gas-to-gas heat exchanger by way of example only) should cool hot process gas to a temperature that merely approaches the dew point temperature of corrosive constituents so that the hot gas exits the heat exchanger matrix without first condensing the constituents on a cold spot near the hot gas exit plane, or any portion of a plate of the heat exchanger matrix. Heat exchangers generally do not accommodate true counterflow of hot and cool gas streams and therefore hot process gas, at a plane perpendicular to gas flow, does not cool evenly as it progresses through and exits the heat exchanger matrix. Thus, cold spots may form on plates of the heat exchanger matrix.
There are known approaches for minimizing the potential for cold spots on heat exchanger plates. One approach is to use a parallel flow heat exchanger. This approach does not, however, optimize the amount of heat transferred for the surface area of the heat exchanger matrix. For example, for equal mass flow and equal heat capacity of two gas streams in a parallel flow heat exchanger, the maximum theoretical recovery efficiency is 50%.
Another approach is to design a “true” counterflow heat exchanger having a theoretical recovery efficiency of 100%. This is not practical, however, because the complexity and cost associated with a manifold construction that would allow two gas streams to enter and exit channels between plates in a counterflow manner is prohibitive.
Due to economics of manufacture, gas-to-gas heat exchangers used today are of a crossflow or quasi-counter-flow design. Unless special design procedures are used, heat exchanger matrix plate temperatures near the hot gas exit plane (and cold gas exit plane) may exhibit temperatures lower than other points on the plates. In order to achieve optimal heat transfer and at the same time avoid condensation at a localized cold area near the hot fluid exit plane of a plate, yet another approach for reducing the influence of incoming cold gas on plate temperature is to thermally insulate part of the heat exchanger plates. Insulation technology may be used to increase the metal plate temperature in a cold corner of the plate at the hot gas exit plane, resulting in condensation-free operation. However, this technique may result in added costs and wasted heat exchanger surface area.
A typical plate-type gas-to-gas heat exchanger matrix is shown in
Plate temperature is affected by the temperature of the hot and cool gas streams adjacent to an intervening plate, and the heat transfer coefficients of each gas stream at the same x, y coordinates on opposing surfaces of the plate. This relationship is derived from the general equation for heat transfer:
U=1/(1/h1+f1+t/k+f4+1/h4)
h≅Re0.8=(ρVDh/μ)0.8
h=f[Re0.8Pr0.3]
Re=ρVDh/μ
Q=heat transferred
A=area
ΔT=temperature difference between the hot gas and the cold gas at a point on the transfer plate
U=overall conductance
h1=cold gas heat transfer coefficient, btu/(hr ft2° F.)
f1=cold gas fouling factor
t/k=metal thickness divided by the metal thermal conductivity
f4=hot gas fouling factor
h4=hot gas heat transfer coefficient, btu/(hr ft2° F.)
Re=Reynolds Number
ρ=gas density, lb/ft3
V=velocity of gas, ft/hr
Dh=hydraulic diameter of flow channel, ft
μ=viscosity of gas, btu/(hr ft ° F.)
Cp=specific heat of gas, btu/(lb ° F.)
k=thermal conductivity of gas, btu/(hr ft ° F.)
Thus, the velocity V is the only parameter that can be varied in any degree with given inlet flow conditions. In other words, in view of the foregoing, it may be stated that the heat transfer coefficient h varies with velocity, e.g., h˜V0.8. The temperature of a point on a plate in a heat exchanger matrix may be influenced by manipulating the velocity V of the process gasses at locations throughout the matrix. The heat exchanger embodiments described herein accomplish this by varying the spacing between protrusions, or variable flow structures, on plates within the matrix. Variable flow structures may be formed during the manufacturing process to maintain desired gas flow by way of spacing between heat transfer plates. The variable flow structures may be protrusions that are defined in the matrix design by a protrusion height and protrusion spacing, i.e., the distance between the protrusions when stamped on the metal plate.
An increase in hot gas velocity at a given plate point, all other parameters remaining constant, results in an increase in heat transfer coefficient h4 of the hot gas and thus an increase in the plate temperature at that point. Therefore, the variable flow structures of a plate may be arranged or patterned to affect gas velocity at different plate points and thereby optimize the values of h4 (and possibly h1) and equalize to an extent the plate temperatures at points at or near the hot gas exit plane and elsewhere on plates of the matrix.
Specifically, variable flow structures may be arranged on plates within the matrix so as to increase a velocity of hot gas flow and possibly lower a velocity of a cold gas flow at plate points that are normally cooler. The opposite configuration may be used at plate points where the plate would normally be hotter. When hot gas flow velocity increases and thus the hot gas heat transfer coefficient increases, the metal plate temperature may be influenced more by the hot gas temperature than that of the opposing cold gas stream. Conversely, a decreased velocity cold gas flow may cause the metal plate temperature to be less influenced by the cold gas temperature. Therefore, at a lowest temperature point on the plate, it may be advantageous to increase the hot gas flow velocity to optimize h4, and perhaps reduce the cold gas flow velocity to optimize h1, to thereby cause the metal temperature to increase.
Variable flow structures on a surface of a plate facing a hot gas stream may also be arranged so that an artificial flow resistance forces hot gas to an area where the cold gas enters the heat exchanger. Conversely, variable flow structures on a surface of a plate facing a cold gas stream may be arranged so that an artificial flow resistance forces cold gas away from portions of a plate that exhibit cold spots.
Exemplary embodiments are described herein. However, it is envisioned that any heat exchanger arrangement that may incorporate the features of the method and apparatus for minimizing cold spots in the plates of a plate-type gas-to-gas heat exchanger described herein are encompassed by the scope and spirit of the exemplary embodiments.
The exemplary embodiments are intended to cover all alternatives, modifications and equivalents as may be included within the spirit and scope of the method and apparatus as defined herein.
For an understanding of an apparatus and method for equalizing hot gas exit plane plate temperatures to minimize cold spots on plates of gas-to-gas heat exchanger matrices, reference is made to the drawings. In the drawings, like referenced numerals have been used throughout to designate similar or identical elements. The drawings depict various embodiments and data related to embodiments of illustrative heat exchangers incorporating features of exemplary embodiments described herein.
Related art plates of the type shown in
At the cool gas entry plane 275, cold gas stream 235 has a high velocity causing the plates to be coldest near cool gas entry plane 275 where a blast of cold air enters the heat exchanger. As shown in
Contrarily, the velocity of the exiting hot gas stream 225 may be relatively even across the vicinity of the hot gas exit plane 200, the velocity being about 585 ft/.in. If the cool gas stream 235 has a higher velocity at a plate point than does the hot gas stream 225, then the plate temperature may be influenced more by the cool air stream 235 and its temperature. Thus, and as shown in
Spacing between the plates of a heat exchanger matrix may be defined by dimples, or other variably shaped protrusions (collectively referred to herein as variable flow structures), formed on the plates with a height that is typically half of the spacing between the plates. The dimples on opposing plates contact one another to define the plate spacing and provide structural support. That is, for a half-inch plate spacing, the dimple height on each plate would be a quarter inch.
A variable flow structure pattern on a plate may be selected for the purpose of: (1) supporting the plates to withstand a pressure differential between the fluid streams to prevent the plates from collapsing onto one another as a result of high gas pressure; (2) increasing flow turbulence to enhance h; (3) decreasing turbulence to lower gas flow pressure drop; or (4) a combination of 1, 2 and 3 to control temperature and overall performance. While protrusions or dimples are discussed as exemplary variable flow structures, any structure that varies the velocity of an adjacent gas stream may constitute a variable flow structure in accordance with an exemplary embodiment.
A related art heat exchanger has plates with dimples or protrusions that may be equally spaced or symmetrical, and may exhibit velocities and plate temperatures as shown in
V12b=sqrt[(L12a\L12b)×V12a].
Because the value of h of a gas stream near the surface of the plate that separates two gas streams has a direct influence on the temperature of the plate at a given location, the temperature of the plate can be controlled to a degree by designing the variable flow structure pattern to influence gas flow distribution, and thus velocity throughout the heat exchanger. As discussed above, the higher the velocity of a gas stream, the higher the value of coefficient h of the gas stream. If h4 of the hot gas is greater than h1 of the cold gas, then the plate is influenced more by the hot gas stream temperature. Thus, as the heat transfer coefficient is changed, an effect on plate temperature, Tp may be observed. The relationship may be expressed as follows:
h1Tp−h1Tc=h4Th−h4Tp
Tp(h1+h4)=h1Tc+h4Th
Tp=(h1Tc+h4Th)/(h1+h4).
It is possible to calculate a variable flow structure arrangement that may change the velocity distribution of one or both of the cold gas stream and the hot gas stream in a manner that may optimize their values of h to effect a metal temperature that evens out at the hot gas exit plane.
While a counterflow plate heat exchanger configuration wherein cold gas streams are typically in a “U-flow” pattern are discussed by way of example, it will be appreciated that the features and functions disclosed herein may be desirably combined into various heat exchanger configurations. For example,
The preferred variable flow structure arrangement of a plate surface facing a cold gas stream shown in
The exemplary cold side plate surface 400 shown in
Similarly,
A heat exchanger having one or both of the variable pattern plate surfaces shown in
While minimization of cold spots on plates of a plate-type gas-to-gas heat exchanger by optimizing the heat transfer coefficients of process gas streams has been described in relation to specific embodiments, it is evident that many alternatives, modifications, and variations will be apparent to those skilled in the art. Accordingly, embodiments of the method and apparatus as set forth herein are intended to be illustrative, not limiting. There are changes that may be made without departing from the spirit and scope of the exemplary embodiments.
It will be appreciated that the above-disclosed and other features and functions, or alternatives thereof, may be desirably combined into many other different systems or applications. Also, various presently unforeseen or unanticipated alternatives, modifications, variations, or improvements therein may be subsequently made by those skilled in the art, and are also intended to be encompassed by the following claims.
Number | Name | Date | Kind |
---|---|---|---|
1826344 | Dalgliesh | Oct 1931 | A |
2306526 | Dalzell et al. | Dec 1942 | A |
2959400 | Simpelaar | Nov 1960 | A |
3291206 | Nicholson | Dec 1966 | A |
3403724 | Gutkowski | Oct 1968 | A |
3759323 | Dawson et al. | Sep 1973 | A |
4044820 | Nobles | Aug 1977 | A |
4049051 | Parker | Sep 1977 | A |
4243096 | Lipets et al. | Jan 1981 | A |
4569391 | Hulswitt et al. | Feb 1986 | A |
4611652 | Bernstein et al. | Sep 1986 | A |
4805695 | Ishikawa et al. | Feb 1989 | A |
4862952 | Tarasewich et al. | Sep 1989 | A |
4890670 | Schiessl | Jan 1990 | A |
4971137 | Thompson | Nov 1990 | A |
5036907 | Leven | Aug 1991 | A |
5060722 | Zdenek et al. | Oct 1991 | A |
5323850 | Roberts | Jun 1994 | A |
5937519 | Strand | Aug 1999 | A |
5947812 | Henning et al. | Sep 1999 | A |
6129144 | Bousquet | Oct 2000 | A |
6155338 | Endou et al. | Dec 2000 | A |
6161535 | Dempsey et al. | Dec 2000 | A |
6167948 | Thomas | Jan 2001 | B1 |
6167952 | Downing | Jan 2001 | B1 |
6183879 | Deeley | Feb 2001 | B1 |
6192975 | Yanai et al. | Feb 2001 | B1 |
6220340 | Cheong et al. | Apr 2001 | B1 |
6289982 | Naji | Sep 2001 | B1 |
6324978 | Kaulen et al. | Dec 2001 | B1 |
6357396 | Stansfield et al. | Mar 2002 | B1 |
6938688 | Lengauer, Jr. et al. | Sep 2005 | B2 |
7059395 | Bousquet et al. | Jun 2006 | B2 |
7073573 | Agee | Jul 2006 | B2 |
7104312 | Goodson et al. | Sep 2006 | B2 |
20020003036 | Tsunoda et al. | Jan 2002 | A1 |
20020005280 | Wittig et al. | Jan 2002 | A1 |
20020017382 | Nakado et al. | Feb 2002 | A1 |
20040112585 | Goodson et al. | Jun 2004 | A1 |
20050274501 | Agee | Dec 2005 | A1 |
20060231241 | Papapanu et al. | Oct 2006 | A1 |
20070107889 | Zaffetti et al. | May 2007 | A1 |
20070248866 | Osenar et al. | Oct 2007 | A1 |
20080023179 | Bunker et al. | Jan 2008 | A1 |
20090087355 | Ashe | Apr 2009 | A1 |
Number | Date | Country |
---|---|---|
1244913 | Feb 2000 | CN |
1853081 | Oct 2006 | CN |
A-64-054196 | Mar 1989 | JP |
A-04-055634 | Feb 1992 | JP |
A-06-123589 | May 1994 | JP |
A-06-123590 | May 1994 | JP |
WO 2007122167 | Nov 2007 | WO |
Entry |
---|
Jul. 3, 2013 Office Action issued in U.S. Appl. No. 13/365,602. |
Nov. 6, 2013 Office Action issued in U.S. Appl. No. 13/365,602. |
Mar. 28, 2013 Office Action issued in U.S. Appl. No. 13/365,602. |
Jul. 3, 2014 Office Action issued in U.S. Appl. No. 13/365,602. |
Apr. 28, 2014 Office Action issued in European Patent Application No. 10 173 358.2. |
Jan. 15, 2014 Office Action issued in Chinese Patent Application No. 201010272874.4 (with English Translation). |
Number | Date | Country | |
---|---|---|---|
20110048687 A1 | Mar 2011 | US |