Disclosure of Invention
The invention aims to provide a micro-irrigation capillary tube length hydraulic design method based on a flow deviation coefficient so as to solve the existing technical problems. The invention can simplify the hydraulic design process of the capillary tube length and improve the design efficiency.
In order to achieve the purpose, the invention adopts the following technical scheme:
a micro-irrigation capillary tube length hydraulic design method based on a flow deviation coefficient comprises the following steps:
constructing a capillary tube length design parameter based on a flow deviation coefficient according to the capillary tube slope-drop ratio and the flow index; and determining a calculation formula of the micro-irrigation capillary tube length according to the pipe network arrangement form, and calculating to obtain the capillary tube length based on the obtained capillary tube length design parameters based on the flow deviation coefficient.
Further, a calculation formula for constructing the capillary tube length design parameter based on the flow deviation coefficient is as follows:
in the formula: w LCV Designing parameters for the capillary tube length based on the flow deviation coefficient; j is the slope-to-fall ratio of the capillary; m is a flow index; lambda [ alpha ] CV Designing parameters for the capillary flow deviation coefficient based on a suitable arrangement form; x is the flow state index of the irrigator; p is a terrain grade type identifier: in the case of a reverse slope, p is-1, in the case of a flat slope, p is 0, and in the case of a forward slope, p is 1; s. the 0 Is the grade of the terrain; m L Calculating parameters for the capillary length; c Vq(h) Only considering the flow deviation coefficient of hydraulic deviation for the micro-irrigation capillary; h is a total of d For the operating head of the emitter, unit: m; Δ H S The height difference of the ground shape of the inlet and the tail end of the capillary is shown as the following unit: m; Δ H F The total friction loss of the capillary is unit: m; l is the length of the micro-irrigation capillary tube, unit: m; f s Total head loss expansion factor of capillary for local head loss of irrigator, F s 1.10-1.20; q is total flow of the capillary inlet, and the unit is as follows: l/h; n is the number of micro-irrigation capillary douches; s e Is the emitter spacing, unit: m; q. q.s d Design flow for emitter, unit: l/h; d is the inner diameter of the capillary, unit: mm; k is the friction coefficient; b is a pipe diameter index; c. C 1 、c 2 To calculate the parameters; values of the design parameters m, K and b are obtained by referring to micro-irrigation engineering design Specification GB/T50485-.
Further, for a flat slope terrain, the micro-irrigation capillary tubes are arranged in a two-way mode, and the calculation formula of the tube length is as follows:
in the formula: l is micro-bushTube length, unit: m; [ C ] Vq(h) ]Designing a standard for the flow deviation coefficient; m is a flow index; m is a group of L Calculating parameters for the capillary length; h is d For the operating head of the emitter, unit: m; x is the emitter flow state index; d is the inner diameter of the capillary tube in unit: mm; b is a pipe diameter index; s is e Is the emitter spacing, unit: m; f s Total head loss expansion factor of capillary for local head loss of irrigator, F s 1.10 to 1.20; k is the friction coefficient; q. q.s d Design flow for emitter, unit: l/h.
Furthermore, for the micro-irrigation capillary tube which is limited by the terrain and can be arranged in a single-way adverse slope manner:
when the flow index m is 1.75, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: 0<[W LCV ]Less than or equal to 1.767; when the flow index m is 1.69, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: 0<[W LCV ]Less than or equal to 1.762; when the flow index m is 1.00, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: 0<[W LCV ]≤1.718;
Wherein [ W ] LCV ]The method is a micro-irrigation capillary tube length design parameter based on a flow deviation coefficient design standard.
Further, for the micro-irrigation capillary tube arranged in two directions:
when the flow index m is 1.75, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: w is more than or equal to 0 LCV ]Less than or equal to 10.929; when the flow index m is 1.69, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: w is more than or equal to 0 LCV ]Less than or equal to 11.176; when the flow index m is 1.00, the condition that the length of the micro-irrigation capillary tube based on the flow deviation coefficient has a design value is as follows: w is not more than 0 LCV ]Less than or equal to 16.092; wherein [ W ] LCV ]The method is a micro-irrigation capillary tube length design parameter based on a flow deviation coefficient design standard.
Further, for the one-way adverse slope capillary, the slope-to-fall ratio J of the capillary has the calculation formula:
when the flow index m is 1.75,
J=0.0841[W LCV ] 4 -0.3658[W LCV ] 3 +0.5543[W LCV ] 2 -0.8507[W LCV ]-0.0254;
when the flow index m is 1.69,
J=0.0899[W LCV ] 4 -0.3886[W LCV ] 3 +0.59[W LCV ] 2 -0.8744[W LCV ]-0.0266;
when the flow index m is 1.00,
further, for different flow indexes m, the value range of the micro-irrigation bidirectional capillary design pipe length based on the flow deviation coefficient meets the following requirements:
table 1, when m is 1.75, the flow deviation coefficient-based pipe length value range of the micro-irrigation bidirectional capillary design
Table 2. length range of micro-irrigation bidirectional capillary design pipe based on flow deviation coefficient when m is 1.69
Table 3. length range of micro-irrigation bidirectional capillary design pipe based on flow deviation coefficient when m is 1.00
Wherein, table 1 to table 3 are the values of the length of the micro-irrigation bidirectional capillary designed based on the flow deviation coefficient when m is 1.75, m is 1.69 and m is 1.00 in sequence.
Further, the calculated value J of the slope-to-fall ratio of the micro-irrigation bidirectional capillary in tables 1 to 3 1 The calculation formulas of (A) and (B) are respectively as follows:
when the flow index m is 1.75,
when the flow index m is 1.69,
when the flow index m is 1.00,
micro-irrigation bidirectional capillary slope-drop ratio calculation value J in tables 1 and 2 2 The calculation formula of (2) is as follows:
further, the micro-irrigation capillary tube length hydraulic design process based on the flow deviation coefficient comprises the following steps:
step 1: according to a known design parameter q d K and x, calculating the designed working head h of the irrigation emitter d ;
Step 2: when the diameter D of the capillary is more than 8mm, the flow index m is 1.75, the diameter index b is 4.75, and the friction coefficient K is 0.505;
and 3, step 3: according to known design parameters m, D, s
e 、F
s K and q
d Calculating design parameters of tube length
According to known design parameters x, S
0 、m、M
L 、[C
Vq(h) ]And h
d Calculating the parameter [ W ] using the formula (1)
LCV ];
Wherein,
and 4, step 4: when p is 0, the capillary is arranged bidirectionally according to the known parameters x, M L 、[C Vq(h) ]、h d M, calculating the pipe length L by using the formula (2), and selecting a capillary pipe with the length not exceeding L to design the pipe length by comprehensively considering the terrain condition; according to a known parameter h d 、M L L and m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)(0.5L) m+1 /[(m+2)M L ];
Wherein,
and 5: when p is equal to-1, the capillary is arranged in a one-way reverse slope mode according to a known parameter [ W LCV ]And m, calculating a gradient ratio J by using the formulas (3) to (5), according to a known parameter S 0 、M L M and J, calculating the tube length L [ (-S) 0 M L )/J] 1/m Selecting a capillary tube design tube length with the length not more than L in consideration of the terrain condition; according to a known parameter h d 、M L 、L、S 0 And m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)L m+1 /[(m+2)M L ]+0.5S 0 L;
Wherein,
when the flow index m is 1.75,
J=0.0841[W LCV ] 4 -0.3658[W LCV ] 3 +0.5543[W LCV ] 2 -0.8507[W LCV ]-0.0254 (3);
when the flow index m is 1.69,
J=0.0899[W LCV ] 4 -0.3886[W LCV ] 3 +0.59[W LCV ] 2 -0.8744[W LCV ]-0.0266 (4);
when the flow index m is 1.00,
step 6: when p is 1, the capillary is arranged bidirectionally, according to a known parameter [ W ] LCV ]And m, calculating a slope-to-fall ratio J using equations (6) to (8), based on the known parameter S 0 、M L M and J, calculating the tube length L ═ S 0 M L )/J] 1/m Selecting a capillary tube design tube length with the length not more than L by comprehensively considering the terrain conditions; according to a known parameter S 0 、M L M and L, calculating a gradient ratio parameter J ═ S 0 M L /L m (ii) a Calculating the optimal branch pipe position parameter R according to the parameters m and J L =0.0636J 2 -0.4347J +0.5, when m is 1.69, calculate R L =0.0582J 2 -0.4286J +0.5, when m is 1.00, calculate R L -3/8J + 1/2; according to a known parameter h d 、R L 、M L L and m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)(LR L ) m+1 /[(m+2)M L ]+0.5S 0 LR L ;
Wherein,
when the flow index m is 1.75,
when the flow index m is 1.69,
when the flow index m is 1.00,
and 7: when the inner diameter D of the capillary<When the diameter of the tube is 8mm, assuming that m is 1.69, b is 4.69 and K is 0.505, the tube length L is designed by repeating the steps 3 to 6, and the reynolds number Re is calculated to be Lq d /(900πDs e ν T ) (ii) a If Re>2320, the design result meets the value requirement of flow index m in "micro-irrigation engineering technical Specification"; and if Re is less than or equal to 2320, m is 1.00, b is 4.00, and K is 1.75, and the steps 3 to 6 are repeated to design the tube length L.
Further, the method also comprises the following steps: drawing a relation graph of corresponding slope-drop ratios and pipe length design parameters under different flow indexes, and judging the number of the designed pipe lengths meeting the flow deviation coefficient.
Compared with the prior art, the invention has the following beneficial effects:
the micro-irrigation capillary tube length hydraulic design method based on the flow deviation coefficient can be used for the micro-irrigation capillary tube length hydraulic design process, and can improve the design efficiency of the micro-irrigation capillary tube length; by considering a proper capillary arrangement form, the design length of the capillary can be optimized, and the cost investment is reduced.
Detailed Description
The invention is described in further detail below with reference to the figures and specific examples. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
The invention relates to a micro-irrigation capillary tube length hydraulic design method based on a flow deviation coefficient, which comprises the steps of firstly, constructing capillary tube length design parameters based on the flow deviation coefficient, further providing a simple calculation formula of the capillary tube length under each pipe network arrangement form, and drawing a relation graph of corresponding slope-drop ratios and the tube length design parameters under different flow indexes; on the basis, a micro-irrigation capillary tube length hydraulic design process based on a flow deviation coefficient is provided: knowing the design flow deviation coefficient of the micro-irrigation capillary, the diameter of the capillary and other design variables, calculating the length of the capillary and the working water head at the inlet, and determining the appropriate arrangement form of the capillary and the optimal branch position.
Specifically, the calculation formula of the design parameter of the micro-irrigation capillary tube length based on the flow deviation coefficient is as follows:
in the formula: w
LCV Designing parameters for the capillary tube length based on the flow deviation coefficient; j is slope-to-fall ratio of capillary, and J is delta H
S /ΔH
F (ii) a m is a flow index; lambda
CV Designing parameters for micro-irrigation capillary flow deviation coefficients based on a suitable arrangement form; x is the emitter flow state index; p is a terrain grade type identifier: in the case of a reverse slope, p is-1, in the case of a flat slope, p is 0, and in the case of a forward slope, p is 1; s. the
0 Is the grade of the terrain; m
L The parameters are calculated for the length of the capillary,
C
Vq(h) only considering the flow deviation coefficient of hydraulic deviation for the micro-irrigation capillary; h is
d For the operating head of the emitter, unit: m; Δ H
S Is the topographic height difference between the inlet and the tail end of the capillary tube, Delta H
S =pS
0 L, unit: m; l is the length of the micro-irrigation capillary tube, unit: m; Δ H
F Δ H is the total friction loss of the capillary
F =F
s KQ
m /[(m+1)D
b ]L, unit: m; f
s To account for the capillary total head loss expansion coefficient of emitter local head loss, usually F
s 1.10-1.20; q is total flow of the inlet of the capillary, and Q is N.q
d The unit: l/h; n is the number of micro-irrigation capillary douches, and N is L/s for bidirectional capillary
e +1, for unidirectional capillary N ═ L/s
e ;s
e Is the emitter spacing, unit: m; q. q.s
d Design flow for emitter, unit: l/h; d is the inner diameter of the capillary, unit: mm; k is the friction coefficient; b is a pipe diameter index; the values of the design parameters m, K and b can be referred to the micro-irrigation engineering design Specification (GB/T50485-.
For the flat slope terrain, the calculation formula of the length of the micro-irrigation capillary tube is as follows:
in the formula: l is the length of the micro-irrigation capillary tube in unit: m; [ C ] Vq(h) ]Designing a standard for the flow deviation coefficient; m is a flow index; m L Calculating parameters for the capillary length; h is a total of d For the emitter operating head, unit: m; x is the flow state index of the irrigator; d is the inner diameter of the capillary, unit: mm; b is a pipe diameter index; s is e Is the emitter spacing, unit: m; f s Total head loss expansion factor of capillary for local head loss of irrigator, F s 1.10-1.20; k is the friction coefficient; q. q.s d Design flow for emitter, unit: l/h.
Referring to fig. 1 to 3 of the drawings,for micro-irrigation capillary tubes which are limited by terrain and can be arranged in a one-way reverse slope only, corresponding slope-to-fall ratio J and tube length design parameters W under different flow indexes LCV The relationship (2) of (c). For a flow index m of 1.75, 1.69 or 1.00, the conditions for the existence of the design value of the micro-irrigation capillary tube length based on the flow deviation coefficient are as follows: 0<[W LCV ]≤1.767、0<[W LCV ]Less than or equal to 1.762 or 0<[W LCV ]1.718, for a given emitter design flow q d Sum flow deviation factor design criteria [ C Vq(h) ]The slope-drop ratio J has a unique calculated value, and the capillary tube length also has a unique calculated value.
For the one-way adverse slope capillary, the calculation formula of the slope-to-fall ratio parameter J is as follows:
when the flow index m is 1.75,
J=0.0841[W LCV ] 4 -0.3658[W LCV ] 3 +0.5543[W LCV ] 2 -0.8507[W LCV ]-0.0254 (3)
when the flow index m is 1.69,
J=0.0899[W LCV ] 4 -0.3886[W LCV ] 3 +0.59[W LCV ] 2 -0.8744[W LCV ]-0.0266 (4)
when the flow index m is 1.00,
referring to fig. 4 to 6, for the micro-irrigation capillary tubes arranged in two directions, the corresponding slope-to-fall ratio J and the tube length design parameter W under different flow indexes LCV The relationship (2) of (c). For a flow index m of 1.75, 1.69 or 1.00, the conditions for the existence of the design value of the length of the micro-irrigation capillary tube based on the flow deviation coefficient are as follows: w is not more than 0 LCV ]≤10.929、0≤[W LCV ]Less than or equal to 11.176 or less than or equal to 0 [ W ≦ W LCV ]Less than or equal to 16.092. For a given emitter design flow q d Sum flow deviation factor design criteria [ C Vq(h) ]The slope-to-fall ratio J has 1 or 2 calculated values, and the capillary length is 1 or 2 calculated values.
For different flow indexes m, the value ranges of the lengths of the micro-irrigation bidirectional capillary design pipes based on the flow deviation coefficient are respectively as follows:
table 1. micro-irrigation bidirectional capillary design pipe length value range based on flow deviation coefficient (m is 1.75)
Table 2. micro-irrigation bidirectional capillary design pipe length value range based on flow deviation coefficient (m is 1.69)
Table 3. micro-irrigation bidirectional capillary design pipe length value range based on flow deviation coefficient (m is 1.00)
Micro-irrigation bidirectional capillary slope-drop ratio calculation value J in tables 1-3 1 The calculation formulas of (A) and (B) are respectively as follows:
when the flow index m is 1.75,
when the flow index m is 1.69,
when the flow index m is 1.00,
table 1-2 shows the calculated value J of slope-to-fall ratio of micro-irrigation bidirectional capillary 2 The calculation formula of (2) is as follows:
the design process specifically comprises the following steps: the deviation coefficient of the design flow of the micro-irrigation capillary is known Vq(h) ]The design steps of the pipe diameter D and other design variables, the length of the capillary pipe, the suitable arrangement form, the best branch pipe position and the working water head at the capillary inlet are determined:
step 1: according to known design parameters q d K and x, calculating the designed working head h of the irrigation emitter d ;
And 2, step: when the pipe diameter D is more than 8mm, the flow index m is 1.75, the pipe diameter index b is 4.75, and the friction coefficient K is 0.505;
and step 3: according to known design parameters m, D, s
e 、F
s K and q
d Calculating design parameters of tube length
According to known design parameters x, S
0 、m、M
L 、[C
Vq(h) ]And h
d Calculating the parameter [ W ] using the formula (1)
LCV ];
And 4, step 4: when p is 0, the capillary is arranged bidirectionally, according to the known parameters x, M L 、[C Vq(h) ]、h d And m, calculating the pipe length L by using the formula (2), and selecting a capillary pipe with the length not more than L by comprehensively considering the terrain condition to design the pipe length; according to a known parameter h d 、M L L and m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)(0.5L) m+1 /[(m+2)M L ];
And 5: when p is equal to-1, the capillary is arranged in a one-way reverse slope mode according to a known parameter [ W LCV ]And m, calculating a gradient ratio J by using the expressions (3) to (5), and calculating the gradient ratio J according to the known parameter S 0 、M L M and J, calculating the tube length L [ (-S) 0 M L )/J] 1/m Selecting a capillary tube design tube length with the length not more than L by comprehensively considering the terrain conditions; according to a known parameter h d 、M L 、L、S 0 And m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)L m+1 /[(m+2)M L ]+0.5S 0 L;
And 6: when p is 1, the capillary is arranged bidirectionally, according to a known parameter [ W ] LCV ]And m, calculating a gradient ratio J by using the expressions (6) to (8), and calculating the gradient ratio J according to the known parameter S 0 、M L M and J, calculating the tube length L ═ S 0 M L )/J] 1/m Selecting a capillary tube design tube length with the length not more than L by comprehensively considering the terrain conditions; according to a known parameter S 0 、M L M and L, calculating a gradient ratio parameter J ═ S 0 M L /L m (ii) a Calculating the optimal branch pipe position parameter R according to the parameters m and J L =0.0636J 2 -0.4347J +0.5, when m is 1.69, calculate R L =0.0582J 2 -0.4286J +0.5, when m is 1.00, calculate R L -3/8J + 1/2; according to a known parameter h d 、R L 、M L L and m, calculating the working water head h of the capillary inlet 0 =h d +(m+1)(LR L ) m+1 /[(m+2)M L ]+0.5S 0 LR L 。
And 7: when the inner diameter D of the capillary<When 8mm is used, assuming that m is 1.69, b is 4.69 and K is 0.505, the design tube length L is repeated from step 3 to step 6, and the reynolds number Re is calculated to Lq d /(900πDs e ν T ). If Re>2320, the design result meets the value requirement of flow index m in "micro-irrigation engineering technical specification" (national quality control administration 2009); if Re is 2320 or less, then m is 1.00, b is 4.00, and K is 1.75, and steps 3 to 6 are repeated.
Examples
The known data are: the diameter D of the capillary is 16mm, and the distance s between the douches e 0.3m, local head loss expansion coefficient F s 1.10, the pressure and flow relation of the irrigation device is that q is 0.717h 0.598 Design flow q of emitter d 2.7L/h, terrain slope S 0 0.01, flow deviation coefficient design criteria [ C [ ] Vq(h) ]=0.10。
Case I: when the terrain gradient type p is equal to-1, calculating the design pipe length L and the inlet working water head h of the one-way adverse slope capillary 0 . The specific design process is as follows:
1) calculating designed working head h of irrigator d
2) Calculating a design parameter M of tube length L
3) Calculating the design parameter [ W ] of the tube length LCV ]
According to fig. 7, the ramp-down ratio has only a unique design value, and therefore the capillary has only a unique design value.
4) Calculating a slope-to-fall ratio parameter J
J=0.0841[W LCV ] 4 -0.3658[W LCV ] 3 +0.5543[W LCV ] 2 -0.8507[W LCV ]-0.0254
=0.0841×0.716 4 -0.3658×0.716 3 +0.5543×0.716 2 -0.8507×0.716-0.0254
=-0.463
5) Calculating the length L of the capillary tube
6) Calculating working water head h of capillary inlet 0
In order to further compare and verify the design results of the disclosed method, the present invention also calculated the design results of the Valiantzas method (1998) which is a traditional representative method: calculated tube length L ═90m, working head h at the inlet of the capillary 0 12.81 m. The relative deviation between the design result of the invention and the design result of the Valiantzas method is within 5%. Therefore, the results of the method of the present invention have sufficient design accuracy; meanwhile, compared with a Valiantzas method which needs to be solved by means of an iterative method, the method is simple and easy to implement in the calculation process, and can improve the design efficiency.
Case II: when the terrain gradient type p is equal to 1, calculating the design pipe length L of the bidirectional capillary pipe and the inlet working water head h 0 Optimum inlet position parameter R L And the length L of capillary tube in the adverse slope section up . The specific design process is as follows:
1) calculating designed working head h of irrigator d
2) Calculating a design parameter M of tube length L
3) Calculating the design parameter [ W ] of the tube length LCV ]
According to table 1 and fig. 8, the ramp down ratio has only a unique design value, and therefore the capillary has only a unique design value.
4) Calculating a slope-to-fall ratio parameter J
J=0.1328[W LCV ] 0.6317 =0.1328×0.716 0.6317 =0.108
5) Calculating the length L of the capillary
6) Calculating the optimal design parameter R of branch pipe position L
R L =0.0637J 2 -0.4347J+0.5
=0.0637×0.108 2 -0.4347×0.108+0.5
=0.454
7) Calculating the number N of capillary douches at the adverse slope section up
8) Calculating the length L of the capillary at the adverse slope section up
L up =(N up -1+u)s e =(297-1+0.5)×0.3=88.95(m)
10) Calculating working water head h at capillary inlet 0
To further compare and validate the design results of the disclosed method, the present invention also calculated the design results of the traditional representative method, Keller method (1990): the calculated length L of the pipe is 195.9m, and the length L of the capillary pipe at the adverse slope section up 88.95m, working water head h at the inlet of the capillary 0 13.14 m. The relative deviation between the design result of the invention and the design result of the Keller method is within 0.3 percent. Therefore, the results of the method of the present invention have sufficient design accuracy; meanwhile, compared with a Keller method which needs to be solved by means of a trial algorithm, the method is simple and easy in calculation process, and design efficiency can be improved.
To sum up, the invention provides a flow deviation coefficient-based hydraulic design method for the length of a micro-irrigation capillary tube, which comprises the following steps: firstly, constructing a capillary pipe length design parameter based on a flow deviation coefficient, further providing a simple capillary pipe length calculation formula in each pipe network arrangement form, and visually judging the number of the designed capillary pipes meeting the flow deviation coefficient by drawing a relation graph of corresponding slope-drop ratios and the pipe length design parameter under different flow indexes; on the basis, a flow deviation coefficient-based hydraulic design process for the length of the micro-irrigation capillary tube is provided: knowing the design flow deviation coefficient of the micro-irrigation capillary, the diameter of the capillary and other design variables, calculating the length of the capillary and the working water head at the inlet, and determining the appropriate arrangement form of the capillary. The invention is based on an energy profile method, and takes a flow deviation coefficient as an irrigation uniformity index, constructs a micro-irrigation capillary tube length hydraulic analysis model considering a suitable arrangement form, and comprises the following steps: and (3) a capillary tube length design parameter and a capillary tube length calculation formula. The invention can simply and conveniently calculate the number of the pipe lengths and the specific numerical values meeting the flow deviation coefficient, determine the appropriate arrangement form of the capillary and calculate the working water head at the inlet of the capillary on the premise of giving the design standard of the flow deviation coefficient and other design indexes. The invention provides a novel micro-irrigation capillary tube length design method based on the flow deviation coefficient, which is simple, convenient and feasible and can improve the design efficiency of micro-irrigation engineering.
The above description is only an example of the present invention, and is not intended to limit the present invention. The invention is susceptible to various modifications and alternative forms. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.