CN110489706B - Simplified calculation method for energy efficiency index EEI of plate heat exchanger - Google Patents
Simplified calculation method for energy efficiency index EEI of plate heat exchanger Download PDFInfo
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Abstract
The invention provides a simplified calculation method of an energy efficiency index EEI of a plate heat exchanger, which can omit the intermediate process of successively solving heat exchange quantity Q, total heat transfer coefficient k and the like, greatly simplifies the calculation process and the complexity degree, and solves the precision problem of deviation from the standard working condition and the Energy Efficiency (EEI) calculation problem of an old plate heat exchanger.
Description
Technical Field
The invention relates to the technical field of heat exchange energy efficiency evaluation, in particular to a simplified calculation method of an energy efficiency index EEI of a plate heat exchanger.
Background
The heat exchangers are of various types and have various working condition parameters. Patent CN 104036115B discloses a quantitative evaluation method for energy efficiency of a heat exchanger, proposes an energy efficiency index value EEI of a plate heat exchanger and a quantitative evaluation method thereof, provides a scientific implementation method for determining the energy efficiency and the grade of the heat exchanger, and writes in part 1 of a standard NB/T47004.1-2017 plate heat exchanger: a removable plate heat exchanger. However, the method directly uses the total heat transfer coefficient k and the cold and hot fluid flow pressure drop delta p obtained by testing under the standard working condition c 、Δp h And calculating an energy efficiency evaluation index EEI, which is called as standard working condition test data herein to directly solve the energy efficiency evaluation index EEI. The method and the device relate to a heat source, a cold source, a testing instrument, test and data processing equipment and the like, working condition parameters such as fluid temperature, pressure and flow velocity, physical parameters such as fluid density and heat conductivity coefficient, structural parameters of a heat exchanger, heat transfer flow fitting coefficient and the like are needed for solving and calculating the energy efficiency evaluation index EEI, and the likeThe intermediate processes of heat exchange quantity Q, total heat transfer coefficient k and the like are solved in sequence, and therefore the whole solving process is complex, multiple in steps, high in cost and long in period. In addition, the following three problems exist in directly solving the energy efficiency evaluation index EEI through the standard working condition test data:
1. the accuracy requirements for the sensor and the adjusting device are too strict, so that the working condition of the test standard is difficult to reach. The standard working condition refers to that the qualitative temperature of hot fluid is 50 ℃, the qualitative temperature of cold fluid is 30 ℃, and the flow velocity between the cold fluid and the hot fluid plate is 0.5m/s. Due to the dynamic balance process of the precision and the flow heat transfer of the test instrument, the actual test result can only be close to the standard working condition and is difficult to completely reach, and the precision and the credibility of the energy efficiency index value (EEI) of the plate heat exchanger are reduced.
2. The plate heat exchanger has the total heat transfer coefficient k and the cold and hot fluid flow pressure drop delta p under the design working condition or the use working condition only c 、Δp h Without the total heat transfer coefficient k and the cold and hot fluid flow pressure drop Δ p under standard operating conditions c 、Δp h The test data of (2).
3. The plate heat exchanger of the partially old plate type only has the correlation of the total heat transfer coefficient k and the cold and hot fluid flow pressure drop delta p c 、Δp h The correlation of (1) and (2) comprises test data such as temperature, pressure, flow rate and the like under no design working condition or use working condition and standard working condition.
Disclosure of Invention
The invention provides a simplified calculation method of an energy efficiency index EEI of a plate heat exchanger, which is used for solving the problems that the energy efficiency index of the heat exchanger in the prior art is complex to calculate in the calculation process, low in precision and incapable of being calculated due to the fact that related measurement data of an old heat exchanger is lost.
In order to solve the technical problem, the invention provides a simplified calculation method of an energy efficiency index EEI of a plate heat exchanger, which comprises the following steps:
s1: respectively introducing cold fluid and hot fluid into the plate heat exchanger, testing heat exchange quantity and pressure drop values under multiple groups of working conditions including standard working conditions or set errors with the standard working conditions, respectively fitting the heat exchange quantity and the pressure drop values into a first correlation formula of Reynolds number and Prandtl number under the cold fluid and the hot fluid and a second correlation formula of Reynolds number and pressure drop number, and respectively obtaining fitting coefficients of the first correlation formula and the second correlation formula under the cold fluid and the hot fluid, wherein the temperature of the cold fluid is less than the temperature of the hot fluid;
s2: substituting the working condition parameters and the physical property parameters under the standard working condition into an energy efficiency index EEI definition formula to obtain an energy efficiency index EEI simplified expression only related to the structural parameters and the fitting coefficients;
s3: and substituting the structural parameters of the heat exchanger and the fitting coefficient into the energy efficiency index EEI simplified expression to directly obtain an energy efficiency index EEI value.
Further, in the step S2, the operating condition parameters include the temperature, the flow rate, and the weight coefficient of the pressure gradient of the cold fluid and the hot fluid, and the physical parameters include the density, the viscosity coefficient, and the prandtl number of the cold fluid and the hot fluid.
Further, in the step S3, the structural parameters of the heat exchanger include a working medium flow length, a hydraulic diameter, a heat conductivity coefficient of a heat transfer element, and a wall thickness of the heat transfer element, wherein the heat transfer element is a heat exchange plate for separating cold fluid from hot fluid.
Further, in the step S1, the temperature of the cold fluid and the temperature of the hot fluid are not changed, the flow rate is changed, a plurality of groups of working conditions are generated, and the heat exchange amount and the pressure drop value are respectively measured.
Further, in the step S1, the first correlation under the cold fluid and the hot fluid is:
the second correlation under the cold fluid and the hot fluid is respectively as follows:
wherein, nu h Is the Noschelt number, re, of the hot fluid h Is the Reynolds number of the hot fluid, C h 、n h Fitting coefficient, pr, of the first correlation under thermal fluid h Is the Plantt number, p, of the hot fluid h Is the density of the hot fluid, u h For the flow rate of the hot fluid, nu c Nursert number, re, of cold fluids c Reynolds number for cold fluid, C c 、n c Fitting coefficient of first correlation under cold fluid, pr c Prandtl number, p, of cold fluids c Is a cold fluid density, u c For cold fluid flow rate, Δ p h For the pressure drop of the hot fluid flow, a h 、b h Fitting coefficient, Δ p, for a second correlation under thermal fluid c For cold fluid flow pressure drop, a c 、b c Fitting coefficients for the second correlation in cold fluid.
Further, in the step S2, the energy efficiency index EEI is defined as:
wherein k is the total heat transfer coefficient, ω h Is the weight coefficient of the thermal fluid pressure gradient, Δ p h For the pressure drop of the hot fluid flow, /) h Is the length of flow of hot fluid working medium, omega c Is the weight coefficient of the cold fluid pressure gradient, Δ p c For cold fluid flow pressure drop, /) c Is the cold fluid working medium flow length.
Further, the calculation formula of the total heat transfer coefficient k is as follows:
wherein h is h Is the convective heat transfer coefficient of a hot fluid, hc is the convective heat transfer coefficient of a cold fluid, δ p Thickness of the wall of the heat-transfer member, λ p Is the thermal conductivity of the heat transfer element.
Further, in the step S2, the EEI simplified expression is:
further, the calculation formulas of Reynolds numbers in cold fluid and hot fluid are respectively as follows:
the calculation formula of the convection heat transfer coefficients of the cold fluid and the hot fluid is as follows:
wherein d is h Hydraulic diameter of hot fluid, d c Is the hydraulic diameter of cold fluid, lambda h Thermal conductivity of stationary hot fluids, mu h Is the coefficient of viscosity, λ, of the hot fluid c Thermal conductivity, mu, of a still cold fluid c The viscosity coefficient of the cold fluid.
Further, omega in the cold and hot fluid h ＝ω c ＝0.5，l h ＝l c ，d h ＝d c ，
Wherein d is h Hydraulic diameter of hot fluid, d c Is the cold fluid hydraulic diameter.
In conclusion, the working condition parameters under the standard test working condition and the physical property parameters taking water as a medium are substituted into the energy efficiency index EEI definition formula to obtain the energy efficiency index EEI simplified expression only related to the structural parameters and the fitting coefficients, and intermediate processes of successively solving the heat exchange quantity Q, the total heat transfer coefficient k and the like can be omitted. The calculation method not only greatly simplifies the calculation process and complexity, but also solves the precision problem of deviation from the standard working condition and the Energy Efficiency (EEI) calculation problem of the old plate heat exchanger.
Drawings
FIG. 1 is a flow chart of a simplified method for calculating an energy efficiency index EEI for a plate heat exchanger according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of the arrangement between the cold and hot fluid and the heat transfer elements in the heat exchanger according to an embodiment of the present invention;
in FIG. 2, 1 is a heat transfer element, 2 is a cold fluid, and 3 is a hot fluid.
Detailed Description
The following describes a simplified calculation method of the energy efficiency index EEI of a plate heat exchanger according to the present invention with reference to the accompanying drawings and specific embodiments. Advantages and features of the present invention will become apparent from the following description and from the claims. It is to be noted that the drawings are in a very simplified form and are not to precise scale, which is merely for the purpose of facilitating and distinctly claiming the embodiments of the present invention.
In the description of the present invention, it is to be understood that the terms "center", "upper", "lower", "left", "right", and the like indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience in describing the present invention and simplifying the description, but do not indicate or imply that the device or element referred to must have a specific orientation, be constructed in a specific orientation, and be operated, and thus, should not be construed as limiting the present invention.
As shown in fig. 1, an embodiment of the present invention provides a simplified calculation method of an energy efficiency index EEI of a plate heat exchanger, comprising the steps of:
s1: respectively introducing cold fluid and hot fluid into the plate heat exchanger, testing heat exchange quantity and pressure drop values under multiple groups of working conditions including standard working conditions or set errors with the standard working conditions, respectively fitting the heat exchange quantity and the pressure drop values into a first correlation formula of Reynolds number and Prandtl number under the cold fluid and the hot fluid and a second correlation formula of Reynolds number and pressure drop number, and respectively obtaining fitting coefficients of the first correlation formula and the second correlation formula under the cold fluid and the hot fluid, wherein the temperature of the cold fluid is less than the temperature of the hot fluid;
s2: substituting the working condition parameters and the physical property parameters under the standard working condition into an energy efficiency index EEI definition formula to obtain an energy efficiency index EEI simplified expression only related to the structural parameters and the fitting coefficients;
s3: and substituting the structural parameters of the heat exchanger and the fitting coefficient into the energy efficiency index EEI simplified expression to directly obtain an energy efficiency index EEI value.
It should be understood that in the step S1, the operating condition parameters include the temperature, flow rate and weight coefficient of pressure gradient of the cold fluid and the hot fluid, and the physical parameters include the density, viscosity coefficient and prandtl number of the cold fluid and the hot fluid; in the step S3, the structural parameters of the heat exchanger comprise the flow length of the working medium, the hydraulic diameter, the heat conductivity coefficient of the heat transfer element and the wall thickness of the heat transfer element, wherein the heat transfer element is a heat exchange plate for separating cold fluid from hot fluid.
Fig. 2 is a schematic structural diagram of the heat exchanger according to the present embodiment between the cold and hot fluids and the heat transfer elements. The cold fluid 2 and the hot fluid 3 are separated by the heat transfer element 1, and heat exchange is carried out through the heat transfer element 1, preferably, the flow directions of the cold fluid 2 and the hot fluid 3 are opposite, so that the heat exchange effect is enhanced. In the step S2, in order to obtain multiple sets of heat exchange amounts and pressure drop values of the cold and hot fluids under different working conditions, the temperatures of the cold and hot fluids are kept unchanged during the measurement process, so that the flow rates of the cold and hot fluids are changed.
Further, in the step S2, the first correlation under the cold fluid and the hot fluid is:
the second correlation under the cold fluid and the hot fluid is respectively as follows:
wherein Nu h Is the Noschelt number, re, of the hot fluid h Is the Reynolds number of the hot fluid, C h 、n h Fitting a relation coefficient, pr, to the heat transfer coefficient of the thermal fluid h Is the Plantt number, p, of the hot fluid h Is the hot fluid density, u h For the flow rate of the hot fluid, nu c Nursert number, re, of cold fluids c Reynolds number, C, of cold fluid c 、n c Fitting relationship for heat transfer coefficient of cold fluidCoefficient of formula Pr c Prandtl number, p, of cold fluids c Is a cold fluid density of u c For cold fluid flow rate, Δ p h For hot fluid flow pressure drop, a h 、b h Fitting a relation coefficient, Δ p, to the thermal fluid flow resistance c For cold fluid flow pressure drop, a c 、b c The coefficients of the relationship are fitted to the cold fluid flow resistance.
Preferably, in the step S1, the energy efficiency index EEI is defined by the formula:
wherein k is the total heat transfer coefficient, ω h Is the weight coefficient of the thermal fluid pressure gradient, Δ p h For hot fluid flow pressure drop, /) h Is the length of flow of hot fluid working medium, omega c Is the weight coefficient of the cold fluid pressure gradient, Δ p c For cold fluid flow pressure drop, /) c Is the length of the cold fluid working medium flow.
Meanwhile, the calculation formula of the total heat transfer coefficient k is as follows:
wherein h is h Is the convective heat transfer coefficient of the hot fluid, h c Coefficient of convective heat transfer, delta, for cold fluid p For the wall thickness of the heat-transfer member, λ p Is the thermal conductivity of the heat transfer element.
When the plate heat exchanger of the embodiment calculates the energy efficiency index, the cold fluid and the hot fluid are both purified water, and the specific calculation process can be summarized as follows.
First, a first correlation and a second correlation are fitted respectively:
first correlation
Second correlation
And then substituting the parameters of the hot and cold fluids under the standard working condition into a Reynolds number definition formula, wherein the temperature of the hot fluid is 50 ℃, the temperature of the cold fluid is 30 ℃, and the flow velocity between the cold fluid and the hot fluid is u under the standard working condition h ＝u c =0.5m/s, viscosity coefficient of hot fluid μ h ＝5.4654×10 -4 Pa.s, viscosity coefficient of cold fluid μ c ＝7.9722×10 -4 Pa·s：
Then, according to the first correlation, the Nonsert number definition formula and the Reynolds number definition formula, obtaining a relational expression between the convective heat transfer coefficients and the hydraulic diameters of the cold fluid and the hot fluid under a standard working condition, wherein the Prandtl number of the hot fluid under the standard working condition is Pr h =3.54, thermal conductivity λ of stationary hot fluid h =0.648W/m K, prandtl number of cold fluid Pr h =5.42, coefficient of thermal conductivity λ of stationary cold fluid c ＝0.618W/m*K：
Wherein, d h Hydraulic diameter of hot fluid, d c Is the hydraulic diameter of cold fluid, lambda h Thermal conductivity of stationary hot fluids, mu h Is the viscosity coefficient, λ, of the hot fluid c Thermal conductivity, mu, of a still cold fluid c The cold fluid viscosity coefficient.
Then, calculating the total heat transfer coefficient k under the standard working condition:
and then, acquiring the flow pressure drop of the cold fluid and the hot fluid under the standard working condition according to the second correlation and the Reynolds number definition formula:
and (3) acquiring an energy efficiency index EEI value by using an EEI simplified expression:
because the plate heat exchanger is adopted in the embodiment, the hot side and the cold side have the same structure, are generally in a reverse flow single flow path and have omega h ＝ω c ＝0.5，l h ＝l c ，d h ＝d c Thus, the relationship for EEI can be derived:
it can be seen that EEI is the structural parameter delta of the heat exchanger p 、λ p 、l h 、l c 、d h 、d c And heat transfer flow fitting coefficient C h 、C c 、a h 、b h 、a c 、b c As a function of (c).
For example, for certain types of plate heat exchangers, the construction employs a counter-flow single pass, where ω is h ＝ω c ＝0.5，l h ＝l c ＝1.237m，d h ＝d c =0.00055m, stainless steel for the plate, # p ＝14.4W/(m·℃)，δ p ＝0.0005mm。
The heat transfer and flow resistance data tested were first fitted to a power function correlation with respect to reynolds number:
can give C h ＝0.2318，n h ＝0.7296，a h ＝1262.93，b h ＝1262.93，C c ＝0.2318，n c ＝0.7296，a c ＝35641.53，b c ＝-0.56，
The above parameters are substituted into the relation of EEI,
according to TSG R0010-2019 ' Heat exchanger energy efficiency test and evaluation rules ', NB/T47004.1-2017 ' part 1 of plate type Heat exchanger: detachable plate heat exchanger, the energy efficiency class of which is one grade.
Therefore, the invention eliminates working condition parameters such as temperature, pressure, flow rate and the like and medium physical property parameters, omits intermediate steps and processes of solving the comprehensive heat exchange coefficient of the heat exchanger and pressure drop of the hot side and the cold side and the like, and obtains the structure parameter delta only p 、λ p 、l h 、l c 、d h 、d c And heat transfer flow fitting coefficient C h 、C c 、a h 、b h 、a c 、b c The EEI calculation expression simplifies the calculation process and complexity, and also solves the precision problem of deviation from the standard working condition and the Energy Efficiency (EEI) calculation problem of the old plate heat exchanger.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example" or "a specific example" or the like are intended to mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. And the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments. Furthermore, various embodiments or examples described in this specification can be combined and combined by those skilled in the art.
Finally, it should be noted that the above embodiments are only intended to illustrate the technical solutions of the present invention and not to limit the same, and although the present invention is described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention.
Claims (8)
1. A simplified calculation method for an energy efficiency index EEI of a plate heat exchanger is characterized by comprising the following steps:
s1: respectively introducing cold fluid and hot fluid into the plate heat exchanger, testing heat exchange quantity and pressure drop values under multiple groups of working conditions including standard working conditions or set errors with the standard working conditions, respectively fitting the heat exchange quantity and the pressure drop values into a first correlation formula of Reynolds number and Prandtl number under the cold fluid and the hot fluid and a second correlation formula of Reynolds number and pressure drop number, and respectively obtaining fitting coefficients of the first correlation formula and the second correlation formula under the cold fluid and the hot fluid, wherein the temperature of the cold fluid is less than the temperature of the hot fluid;
the first correlation under the cold fluid and the hot fluid is respectively as follows:
the second correlation under the cold fluid and the hot fluid is respectively as follows:
wherein, nu h Is the Noschelt number, re, of the hot fluid h Is the Reynolds number of the hot fluid, C h 、n h Fitting coefficient of first correlation under thermal fluid, pr h Is the Plantt number, p, of the hot fluid h Is the hot fluid density, u h For the flow rate of the hot fluid, nu c Nursert number, re, of cold fluids c Reynolds number for cold fluid, C c 、n c Fitting coefficient of first correlation under cold fluid, pr c Prandtl number, p, of cold fluids c Is a cold fluid density of u c For cold fluid flow rate, Δ p h For the pressure drop of the hot fluid flow, a h 、b h Fitting coefficient, Δ p, for a second correlation under thermal fluid c For cold fluid flow pressure drop, a c 、b c Fitting coefficients for a second correlation under cold fluid;
s2: substituting the working condition parameters and the physical property parameters under the standard working condition into an energy efficiency index EEI definition formula to obtain an energy efficiency index EEI simplified expression only related to the structural parameters and the fitting coefficients;
the energy efficiency index EEI is defined as:
wherein k is the total heat transfer coefficient, ω h Is the weight coefficient of the thermal fluid pressure gradient, Δ p h For the pressure drop of the hot fluid flow, /) h Is the length of flow of hot fluid working medium, omega c Is the weight coefficient of the cold fluid pressure gradient, Δ p c For cold fluid flow pressure drop, /) c Is the flow length of the cold fluid working medium;
s3: and substituting the structural parameters of the heat exchanger and the fitting coefficient into the energy efficiency index EEI simplified expression to directly obtain an energy efficiency index EEI value.
2. The simplified calculation method of energy efficiency index EEI of plate heat exchanger according to claim 1, wherein in the step S2, the operating parameters include weighting coefficients of temperature, flow rate and pressure gradient of the cold fluid and the hot fluid, and the physical parameters include density, viscosity coefficient and prandtl number of the cold fluid and the hot fluid.
3. The simplified calculation method of energy efficiency index EEI of plate heat exchanger according to claim 1, wherein in step S3, the structural parameters of the heat exchanger include working medium flow length, hydraulic diameter, heat transfer element thermal conductivity and heat transfer element wall thickness, wherein the heat transfer element is a heat exchange plate for separating cold fluid from hot fluid.
4. The method for simplifying and calculating the energy efficiency index EEI of the plate heat exchanger according to claim 1, wherein in the step S1, the temperature of the cold fluid and the temperature of the hot fluid are not changed, the flow rate is changed, a plurality of groups of working conditions are generated, and the heat exchange amount and the pressure drop value are respectively measured.
5. A simplified method for calculating an energy efficiency index EEI for a plate heat exchanger according to claim 1, characterised in that the overall heat transfer coefficient k is calculated by the formula:
wherein h is h Is the convective heat transfer coefficient of the hot fluid, h c Coefficient of convective heat transfer, delta, for cold fluid p Thickness of the wall of the heat-transfer member, λ p Is the thermal conductivity of the heat transfer element.
6. The method for simplified calculation of an energy efficiency index EEI for a plate heat exchanger according to claim 5, wherein in step S2, the EEI simplified expression is:
7. a simplified calculation method of an energy efficiency index EEI for a plate heat exchanger according to claim 6, characterized in that the Reynolds numbers in the cold and hot fluid are calculated by the equations:
the calculation formula of the convection heat transfer coefficient of the cold fluid and the hot fluid is as follows:
wherein d is h Hydraulic diameter of hot fluid, d c Is the hydraulic diameter of cold fluid, lambda h Thermal conductivity of stationary hot fluids, mu h Is the viscosity coefficient, λ, of the hot fluid c Thermal conductivity, mu, of a still cold fluid c The viscosity coefficient of the cold fluid.
8. The method of claim 1, wherein ω is a measure of the energy efficiency of the plate heat exchanger h ＝ω c ＝0.5，l h ＝l c ，d h ＝d c ，
Wherein d is h Hydraulic diameter of hot fluid, d c Is the cold fluid hydraulic diameter.
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