Two-layer variable-diameter packed bed heat storage apparatus and heat storage ball preparation method
11118845 · 2021-09-14
Assignee
Inventors
- Mingjia Li (Xi'an, CN)
- Bo Jin (Xi'an, CN)
- Zhanbin Liu (Xi'an, CN)
- Zhao MA (Xi'an, CN)
- Fan Yuan (Xi'an, CN)
- Yang Xu (Xi'an, CN)
- Mengjie Li (Xi'an, CN)
Cpc classification
Y02E60/14
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
F28F21/083
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F28D2020/0069
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
Abstract
The present disclosure discloses a two-layered varied ball diameter packed bed heat storage apparatus and a method of manufacturing a heat storage ball. By arranging large-diameter heat storage balls at an upper layer of a packed bed heat storage apparatus and small-diameter heat storage balls at a lower layer thereof; the packed bed heat storage structure comprehensively considers two important evaluation indicators for a heat storage apparatus: heat storage rate and heat storage density, thereby implementing a design principle of maximizing the heat storage rate density of the packed bed heat storage apparatus; by achieving a best combination of heat storage ball diameters inside the packed bed through an optimized design, the heat storage apparatus is imparted with a best heat storage performance. The present disclosure further provides a method of manufacturing a heat storage ball.
Claims
1. A packed bed heat storage apparatus, comprising: a heat storage tank, the heat storage tank having a fluid inlet channel disposed at a first end of the heat storage tank and a fluid outlet channel (5) disposed at a second end thereof, wherein the first end is on top of the second end; two layers of heat storage balls with different diameters provided inside the heat storage tank and disposed at a position of the packed bed, wherein the diameters of the heat storage balls at the first layer is larger than these of the heat storage balls at the lower layer and the heat storage balls at the first layer are disposed on top of the heat storage balls at the second layer; and a first flow equalization distributor (8) in communication with the fluid inlet channel (4) and disposed under the fluid inlet channel to equalize inlet flow and a second flow equalization distributor (9) in communication with the fluid outlet channel (5) and disposed under the fluid outlet channel to equalize outlet flow, which are provided external to the two layers of heat storage balls, wherein the heat storage tank further comprises a cylindrical heat storage tank (1), and a first conical heat storage tank (2) mounted at an upper end of the cylindrical heat storage tank (1) and a second conical heat storage tank (3) mounted at a lower end of the cylindrical heat storage tank (1); an upper portion of the cylindrical heat storage tank (1) is mounted with a first connecting flange (6), and a lower portion of the cylindrical heat storage tank is mounted with a second connecting flange (7), wherein the first connecting flange (6), is located above the second connecting flange (7); the first conical heat storage tank and the second conical heat storage tank are connected to the cylindrical heat storage tank via the first connecting flange (6) and the second connecting flange (7), respectively, wherein the fluid inlet channel (4) is opened at the first conical heat storage tank (2), and the fluid outlet channel (5) is opened at the second conical heat storage tank (3); wherein the first conical heat storage tank (2), the first connecting flange (6), the first flow equalization distributor (8), the cylindrical heat storage tank, the second flow equalization distributor (9), the second connecting flange (7), and the second conical heat storage tank are directly connected to each other in sequence, wherein the fluid inlet channel is located above the fluid outlet channel; and a fluid flows from the fluid inlet channel, through the first conical heat storage tank (2), the first connecting flange (6), the first flow equalization distributor (8), the cylindrical heat storage tank, the second flow equalization distributor (9), the second connecting flange (7), and the second conical heat storage tank to the outlet flow channel; wherein the heat storage balls are prepared with the following steps: 1) performing linear cutting to a stainless steel ball for heat storage to divide a heat storage ball of the heat storage balls into two portions: a ball cover and a semi-spherical body, wherein a volume of the ball cover as cut is 5% of an internal hollow volume of the heat storage ball; 2) packing the heat storage ball with a phase-change material, and then placing the heat storage ball into a Muffle furnace to heat so as to melt the phase-change material; and wherein during the step 2), a heating temperature is 20° C. above a melting point temperature of the phase-change material, and after a temperature in the Muffle furnace reaches a heating temperature of the heat storage ball to ensure that the phase-change is melt completely, the heating temperature is maintained constant for 20 minutes 3) repeating step 2), wherein the packing is done in three times: for the first time, 40% of the internal hollow volume of the heat storage ball is packed; for the second time, 25% of the internal hollow volume of the heat storage ball is packed; and for the third time, 10% of the internal hollow volume of the heat storage ball is packed; 4) welding the ball cover onto the semi-spherical body using a welding encapsulating process to seal the phase-change material.
2. The packed bed heat storage apparatus according to claim 1, wherein a metal support (12) supporting the heat storage balls is provided at an interface between the cylindrical heat storage tank (1) and the second conical heat storage tank (3).
3. The packed bed heat storage apparatus according to claim 2, wherein the heat storage tank and the heat storage balls are made of a stainless steel, the heat storage balls being packed with an organic phase-change material, an organic salt or a molten salt phase-change material.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3) Throughout the drawings, 1 represents a cylindrical heat storage tank; 2 represents a top conical heat storage tank; 3 represents a bottom conical heat storage tank; 4 represents a top fluid inlet channel; 5 represents a bottom fluid outlet channel; 6 represents a top connecting flange; 7 represents a bottom connecting flange; 8 represents a top flow equalization distributor; 9 represents a bottom flow equalization distributor; 10 represents a large-diameter heat storage ball; 11 represents a small-diameter heat storage ball; 12 represents a supporting frame.
DETAILED DESCRIPTION OF EMBODIMENTS
(4) Hereinafter, the present disclosure will be further illustrated with reference to the accompanying drawings and the preferred embodiments.
(5) Please refer to
(6) A heat storage process of the two-layered varied ball diameter packed bed heat storage apparatus according to the present disclosure is provided below: a high-temperature heat transfer active medium with a temperature of T.sub.in flows in from an upper flow channel, through a flow equalization distributor into a packed bed area. Within the packed bed area, the high-temperature active medium heats the heat storage balls, passes the heat energy to the heat storage balls so as to be stored by means of apparent heat and latent heat; the cooled low-temperature active medium flows out from a lower flow channel. After the heat storage process ends, the heat storage apparatus will be filled with the heat transfer active medium with the temperature of T.sub.in and the heat storage balls.
(7) The two-layered varied ball diameter packed bed heat storage apparatus according to the present disclosure is layered following such a principle: as shown from the analysis of the heat storage process, the temperature of the packed bed heat storage apparatus gradually decreases due to constant heat exchange between the heat exchange fluid and the phase-change material along the flow direction. As far as the entire heat storage apparatus is concerned, the heat exchange fluid has a high temperature at an inlet segment, resulting in a large heat exchange temperature difference and thus a good heat exchange effect; while at an outlet segment, the heat exchange fluid has a low temperature, resulting in a narrow heat exchange temperature difference and a deteriorated heat exchange effect. To address this issue, by arranging heat storage balls with a larger diameter at the upper layer of the heat storage apparatus, the heat storage apparatus may have a relatively high heat storage density, while by arranging heat storage balls with a smaller diameter at the lower layer of the heat storage apparatus, a heat exchange area may be enlarged, thereby improving the heat storage rate of the heat storage apparatus. From a comprehensive perspective, compared with a single-layered constant diameter heat storage ball apparatus, the two-layered varied ball diameter heat storage apparatus may improve the heat storage rate density of the heat storage apparatus and optimize the heat storage performance.
(8) Diameters of the heat storage balls inside the two-layered varied ball diameter packed bed heat storage apparatus according to the present disclosure may be chosen through numerical value simulation and optimization, a specific process of which is provided below:
(9) 1) determining specific dimensional parameters and operating conditions of the heat storage apparatus, including: height H.sub.tank of the heat storage apparatus, height H.sub.bed of the packed bed, diameter D of the heat storage apparatus, optional diameter d.sub.p of a heat storage ball, inlet temperature T.sub.in of the heat storage process, and inlet mass flow U.sub.in of the heat storage process.
(10) 2) building a heat transfer model of a heat storage apparatus having a combination of two different heat storage ball diameters, and performing simulated computation of the heat storage apparatus model with the combination of different heat storage balls.
(11) 3) obtaining a heat storage duration τ and a heat storage amount Q.sub.stored under different scenarios based on the result of numerical value computation, thereby calculating parameters such as a heat storage rate p, a heat storage density q, and a heat storage rate density w, etc.
(12) Particularly, the heat storage amount is defined as:
Q.sub.stored=m.sub.p[C.sub.p,s(T.sub.m−T.sub.ini)+m.sub.pΔH+m.sub.pC.sub.p,l(T.sub.in−T.sub.m)]+m.sub.shellC.sub.p,shell(T.sub.in−T.sub.ini) (1)
(13) the heat storage rate is defined as:
(14)
(15) the heat storage density is defined as:
(16)
(17) the heat storage rate density is defined as:
(18)
(19) where, Q.sub.stored denotes a heat storage amount, J; w denotes the heat storage rate density, W.Math.kg-1; τ denotes a heat storage duration, s; m.sub.p denotes a total mass of the phase change material, kg; m.sub.EPCM denotes the total mass of the heat storage balls, kg, including the mass m.sub.p of the phase change material and the mass m.sub.shell of the stainless ball shell; C.sub.p,s denotes a solid-state specific heat capacity of the phase-change material, J kg.sup.−1K.sup.−1; C.sub.p,l denotes a liquid-state specific heat capacity of the phase-change material, J kg.sup.−1K.sup.−1; C.sub.p,shell is a specific heat capacity of stainless steel, J kg.sup.−1K.sup.−1; ΔH denotes latent heat of the phase-shift material, kJ kg.sup.−1; T.sub.m denotes a melting point of the phase-change material, K; T.sub.in denotes the temperature at the inlet of the heat storage, K; T.sub.ini denotes the initial temperature of the heat storage, K.
(20) 4) comparing the heat storage rate densities under different combinations of heat storage ball diameters to obtain a combination of heat storage ball diameters of the heat reservoir with best heat storage performance.
(21) A process of manufacturing a heat storage ball for the two-layered varied ball diameter packed bed heat storage apparatus mainly includes steps of: (1) performing linear cutting to a stainless steel ball for heat storage to divide the heat storage ball into two portions: a ball cover and a semi-spherical body, wherein a volume of the ball cover as cut is 5% of an internal hollow volume of the heat storage ball, which is the basis for computing a height of the ball cover so as to perform cutting. (2) packing the heat storage ball with an appropriate amount of phase-change material, and then placing the heat storage ball inside a Muffle furnace to heat so as to melt the phase-change material, wherein a heating temperature is 20° C. above a melting point temperature of the phase-change material, and after a temperature in the Muffle furnace reaches a highest heating temperature of the heat storage ball, the temperature is maintained constant for 20 minutes so as to guarantee that the phase-change material inside the heat storage ball is sufficiently melted; then, with natural cooling, the phase-change material forms a dense structure; (3) repeating step 2), wherein the packing is done in three times: for the first time, 40% of the internal hollow volume of the heat storage ball is packed; for the second time, 25% of the internal hollow volume of the heat storage ball is packed; and for the third time, 10% of the internal hollow volume of the heat storage ball is packed; after the packing is completed, the packed volume with the phase-change material inside the heat storage ball is about 75%; (4) sealing the phase-change material using a welding encapsulating process, wherein during the welding process, because the welding temperature is relatively high, which will melt the molten salt, it is recommended not to add too much salt in step (3); in the meanwhile, the high-temperature condition during the welding process facilitates escaping of part of air to thereby reduce the air amount inside the heat storage ball, which reduces the internal pressure of the heat storage ball during the melting process and thus avoids leakage of the phase-change material due to cracking of the heat storage ball under a high-temperature condition.
(22) The heat storage ball manufactured as such has advantages such as a relatively high heat storage density, a high heat conductivity coefficient, a high mechanical strength, a high temperature endurance, corrosion-resistance, a good performance of sealing the phase-change material, a lost cost, and a simple welding process.
(23) Again, diameters of the heat storage balls inside the two-layered varied ball diameter packed bed heat storage apparatus according to the present disclosure may be chosen through numerical value simulation and optimization, a specific process of which is provided below:
(24) 1) building a physical model of the two-layered varied ball diameter packed bed heat storage apparatus
(25) The two-layered varied ball diameter packed bed heat storage apparatus is a cylindrical heat storage tank, with heat storage balls filled in an internal packed bed thereof, wherein high-temperature air enters from a top portion of the heat storage tank, exchanges heat with the heat storage balls in the heat storage tank, and then flows out; considering a potential heat loss due to the heat storage tank contacting with the external, an outer side of the heat storage tank is made of a heat insulation material.
(26) (2) building a numerical value computation model for flowing heat exchange inside the two-layered varied ball diameter packed bed heat storage apparatus.
(27) With respect to the physical model above, to obtain temperature distribution of the phase-change heat storage balls and the heat exchange fluid inside the packed bed, a concentric axially symmetrical diffusion model is adopted; to simplify the computation, the following reasonable assumptions are made: (1) the heat storage balls are evenly distributed inside the packed ball with a uniform void ratio; the temperature and velocity of the heat exchange fluid is evenly distributed along the flow direction; (2) the temperature change along the radial direction of the heat storage tank is neglected; (3) the heat losses at the inlet and outlet of the heat storage tank are neglected, where it is assumed that only the heat loss caused by heat exchange between the heat exchange fluid and the external through a heat storage tank wall surface is counted; (4) radiation heat exchange is neglected. The control equation, boundary condition, and initial condition of the model are provided below:
(28) 2-1) Control Equation
(29) fluid:
(30)
(31) solid:
(32)
(33) For a phase-change material, phase changes and physical property parameter changes will occur during the heating process; to describe the phase change process, an apparent heat capacity method is adopted, which believes that phase changes occur within a very small temperature interval (ΔT.sub.m=Tm.sub.2−Tm.sub.1); within this temperature interval, the phase-change material has a very large specific heat capacity. The physical properties during the three stages of the heating process are provided below:
(34) Solid-State Apparent Heat Stage:
c.sub.pc.sub.p,s, λ=λ.sub.s, T.sub.p<T.sub.m1 (7)
(35) Phase-Change Heat Storage Stage:
(36)
(37) Liquid-Phase Apparent Heat Stage:
c.sub.p=c.sub.p,l, λ.sub.p=λ.sub.l, T.sub.p>T.sub.m2 (9)
(38) A heat exchange coefficient between the solid and the fluid adopts an empirical correlation equation:
(39)
(40) The heat loss due to the heat storage tank contacting with the environment is defined as the total heat exchange loss coefficient h.sub.w, including the convection heat exchange coefficient h.sub.i between the heat exchange fluid inside the tank and the tank wall, heat conduction of the tank wall, and heat conduction of the heat insulation cotton, neglecting the natural convection and radiation loss of the outer wall surface. A correlation equation is adopted to compute the h.sub.w:
(41)
(42) where r.sub.bed denotes an inner diameter of the heat storage tank, j=1 denotes an inner wall surface of the heat storage tank, j=2 denotes an outer wall surface of the heat storage tank, j=3 denotes a heat insulation cotton outer layer, h.sub.i denotes the heat loss heat exchange coefficient of the inner wall surface, and the natural convection and radiation heat loss of the outer wall surface is neglected, wherein a heat exchange correlation equation is adopted for computing the h.sub.i:
(43)
(44) For the packed bed model, the equivalent heat conduction correlation equation of the fluid item is:
(45)
(46) 2-2) the Boundary Condition and the Initial Condition:
(47) Boundary Condition:
(48) Fluid Phase:
(49)
(50) Solid Phase:
(51)
(52) Initial condition: at the initial time of heat storage, the temperature of the heat storage balls inside the tank is the same as that of the heat transfer active medium, i.e., T.sub.ini, thereby in a thermal equilibrium state.
(53) In the equations, & denotes a void ratio of the packed bed; the subscripts f and p denote the heat transfer active medium and the heat storage ball, respectively; the subscript eff denotes a valid value; the subscripts l and s denote the solid state and the liquid state; w denotes the wall surface; the feature scales of Re and Pr are the heat storage ball equivalent diameters d.sub.p; ρ denotes density, kg.Math.m-3; c.sub.p denotes the specific heat capacity at constant pressure, J kg.sup.−1 K.sup.−1; λ denotes a heat conduction coefficient, W m.sup.−1K.sup.−1; u denotes an active medium superficial velocity, m s.sup.−1; h.sub.f denotes a volumetric convection heat transfer coefficient between the heat transfer active medium and the heat storage ball, W m.sup.−3K.sup.−1; h.sub.i denotes a heat loss heat transfer coefficient of the wall surface, W m.sup.−3 K.sup.−1.
(54) As discussed above, specific dimensional parameters and operating conditions of the heat storage apparatus are determined, including: height H.sub.tank of the heat storage apparatus, height H.sub.bed of the packed bed, diameter D of the heat storage apparatus, optional diameter d.sub.p of heat storage balls, inlet temperature T.sub.in of the heat storage process, and inlet mass flow U.sub.in of the heat storage process.
(55) In this example, the selected larger diameter of the heat storage balls is d.sub.p1=40 mm, and optional values for the small diameter d.sub.p2 are 15 mm, 20 mm, 25 mm, 30 mm, and 35 mm Parameters such as the heat storage rate, heat storage density, and heat storage rate density of the heat storage may be obtained through numerical value computation. The exemplary combination of the diameters of the heat storage balls may be preferably selected as 40-25 from table 1, with the heat storage rate density being 48.5 W.Math.kg.sup.−1. Too large or too small diameter of the small-diameter heat storage balls may cause the comprehensive heat storage performance to be deteriorated.
(56) TABLE-US-00001 TABLE 1 Heat Storage Performance Under Different Combinations Obtained by Numerical Value Computation in Implementation Cases Heat Heat Heat Storage Storage Storage Rate Rate Density Density Item (W) (kJ .Math. kg.sup.−1) (W .Math. kg.sup.−1) 40-15 1555.8 191.0 45.0 40-20 1506.9 205.5 47.2 40-25 1458.0 217.2 48.5 40-30 1390.8 227.0 48.4 40-35 1288.5 235.2 46.5 40 1157.6 241.3 43.2 Single-Layer
(57)