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研究生：	吳俊寬 Wu, Jun-Kuan
論文名稱：	應用平板具狹縫斜肋於通道熱源之層流強制對流熱傳增益研究 Study on Heat Transfer Enhancement for Laminar Forced Convection over Heat Sources in a Channel by a Narrow Plate with Slits and Inclined Ribs
指導教授：	吳鴻文 Wu, Horng-Wen
學位類別：	碩士 Master
系所名稱：	工學院 - 系統及船舶機電工程學系 Department of Systems and Naval Mechatronic Engineering
論文出版年：	2018
畢業學年度：	106
語文別：	英文
論文頁數：	121
中文關鍵詞：	通道、斜肋、狹縫、層流、強制對流、熱傳增益
外文關鍵詞：	Channel, rib, slit, laminar flow, forced convection, heat transfer
相關次數：	點閱：52 下載：0
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本文探討運用數值分析具有狹縫之散熱片之三維層流流場及熱傳現象。本文利用有限體積法(FVM)離散Navier-Stokes方程式和能量方程式，並化成代數方程組。接著運用解壓力耦合方程一致的半隱式方法(SIMPLE, Semi-Implicit Method for Pressure-Linked Equation Consistent) 迭代至收斂，獲得流場及溫度場。此模擬將兩種有狹縫與無狹縫的平板放置於通道內總長度的1/3處，改變放置高度(3/4通道高度、1/2通道高度及1/4通道高度)和雷諾數(500, 1000, 1500, 2000)，分析不考慮重力作用強制對流之溫度場與速度場分佈。
研究結果顯示: 放置平板於通道有效改善通道內的熱傳現象，雷諾數等於2000時與C2（狹縫）（3/4通道高度）相比，平均紐賽數最大增加率為27.7％。平板具有狹縫可以在斜肋間影響渦流，改變擺放位置高度可影響流道內部的流場，在所有情況下具有狹縫的鰭片的流道內最高溫度都有所降低。從斜肋之平均紐賽數上看到，在雷諾數等於1000時，C1（狹縫）和C4（非狹縫）（1/2通道高度）相比，C1的平均紐賽數最大增加率為5.07％。在雷諾數等於500-1500時，C1的平均紐賽數最高，而在雷諾數等於2000時，C2（狹縫）（3/4通道高度）的平均紐賽數超過C1。

This study investigates the three-dimensional heat transfer of plate with slit and inclined rib module by numerically analyzes the laminar flow field and heat transfer performance. The Navier-Stokes equations and energy equation are constructed by the Finite Volume Method (FVM) and then are discretized to a system of algebraic equations and dimensionless of mathematical formulation. They can be solved by semi-implicit method for pressure linked equations-consistent (SIMPLEC). The solutions must be iterated to converge within each step to obtain the temperature and flow field.
This simulation places two different plate inclined ribs (slit or not) on the 1/3 of the total length and changes the heights of placement (3/4 channel height, 1/2 channel height and 1/4 channel height) with four different Re levels (500, 1000, 1500, 2000) to investigate the temperature and flow field without gravity in forced convection.The results indicate that place the plate can effectively improve the heat transfer. Compared with C2 (slit) (3/4 channel height), at Re=2000 the max increasing rate is 27.7%. For plate with the slits and inclined rib module, the maximum temperature in all cases is reduced. From averaged Nu profiles, compared to C1 (slit) and C4 (non-slit) (1/2 channel height), the maximum increase rate in average Nu of C1 of races is 5.07% at Re=1000. At Re=500-1500, the Nu of C1 is highest. At Re=2000, the Nu of C2 (slit) (3/4 channel height) exceed C1 becomes to the highest.

Content

摘要	I
誌謝	II
Abstract	III
Content	V
List of Table	VII
List of Figure	VIII
Chapter 1 Introduction	1
1-1 Background	1
1-2 Literature reviews	3
1-3 Objectives and motivation of present study	9
Chapter 2. Numerical theory and geometry	11
2-1 Principle	11
2-2 Mathematical formulation	11
2-2-1 Parameters	13
2-2-2 Dimensionless of mathematical formulation	15
2-3 Discretization method	16
2-3-1 Finite volume method	16
2-3-2 Least squares cell based method	17
2-3-3 Discretization of momentum equation	18
2-3-4 Discretization of energy equation	19
2-4 SIMPLEC method	19
2-4-1 Velocity-correction equation	20
2-4-2 Computational process	23
2-4-3 Under-relaxation factor	23
2-5 Geometry model and mesh	24
2-5-1 Numerical model	24
2-5-2 Geometry	24
2-5-3 Mesh	25
2-5-4 Boundary conditions	26
2-5-5 Convergence criterion	26
Chapter 3 Results and discussion	27
3-1 Grid independent test	27
3-2 Accuracy of simulation	28
3-3 Influence of slits on flow field and heat transfer performance	28
3-4 Influence of different heights of placement on flow field and heat transfer performance	32
Chapter 4 Conclusions and future work	35
4-1 Conclusions	35
4-2 Future work	36
References	37

List of Table

Table 1 Properties of air	41
Table 2 Properties of aluminum	41
Table 3 Mesh for each model	42
Table 4 Result of mesh independent test for average Nusselt Number	43
Table 5 Dimension of plate with slit and inclined rib	45
Table 6 Summery of literature review	46

List of Figure

Figure 1 Cell centroid evaluation	48
Figure 2 Structure of plate with slit and inclined rib	48
Figure 3 Detail of plate with slit and inclined rib size	49
Figure 4 Three-dimensional flow geometries and the relevant boundary conditions	50
Figure 5 Data points	51
Figure 6 Grid independent test of Mesh1, Mesh2 and Mesh3	52
Figure 7 Comparison of results between Ahmadali [17] and present study	52
Figure 8 Pressure contour and streamline of C0 from z=H/4 to 3H/4 for Re=500 on x-z plane	53
Figure 9 Pressure contour and streamline of C1 at (a) upstream (b) downstream for Re=500 on x-z plane	54
Figure 10 Velocity contour and streamline of C1 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	55
Figure 11 Pressure contour and streamline of C2 at (a) upstream (b) downstream for Re=500 on x-z plane	56
Figure 12 Velocity contour and streamline of C2 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	57
Figure 13 Pressure contour and streamline of C3 at (a) upstream (b) downstream for Re=500 on x-z plane	58
Figure 14 Velocity contour and streamline of C3 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	59
Figure 15 Pressure contour and streamline of C4 at (a) upstream (b) downstream for Re=500 on x-z plane	60
Figure 16 Velocity contour and streamline of C4 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	61
Figure 17 Pressure contour and streamline of C5 at (a) upstream (b) downstream for Re=500 on x-z plane	62
Figure 18 Velocity contour and streamline of C5 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	63
Figure 19 Pressure contour and streamline of C6 at (a) upstream (b) downstream for Re=500 on x-z plane	64
Figure 20 Velocity contour and streamline of C6 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=500 on y-z plane	65
Figure 21 Pressure contour and streamline of C0 from z=H/4 to 3H/4 for Re=1000 on x-z plane	66
Figure 22 Pressure contour and streamline of C1 at (a) upstream (b) downstream for Re=1000 on x-z plane	67
Figure 23 Velocity contour and streamline of C1 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	68
Figure 24 Pressure contour and streamline of C2 at (a) upstream (b) downstream for Re=1000 on x-z plane	69
Figure 25 Velocity contour and streamline of C2 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	70
Figure 26 Pressure contour and streamline of C3 at (a) upstream (b) downstream for Re=1000 on x-z plane	71
Figure 27 Velocity contour and streamline of C3 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	72
Figure 28 Pressure contour and streamline of C4 at (a) upstream (b) downstream for Re=1000 on x-z plane	73
Figure 29 Velocity contour and streamline of C4 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	74
Figure 30 Pressure contour and streamline of C5 at (a) upstream (b) downstream for Re=1000 on x-z plane	75
Figure 31 Velocity contour and streamline of C5 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	76
Figure 32 Pressure contour and streamline of C6 at (a) upstream (b) downstream for Re=1000 on x-z plane	77
Figure 33 Velocity contour and streamline of C6 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1000 on y-z plane	78
Figure 34 Pressure contour and streamline of C0 from z=H/4 to 3H/4 for Re=1500 on x-z plane	79
Figure 35 Pressure contour and streamline of C1 at (a) upstream (b) downstream for Re=1500 on x-z plane	80
Figure 36 Velocity contour and streamline of C1 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	81
Figure 37 Pressure contour and streamline of C2 at (a) upstream (b) downstream for Re=1500 on x-z plane	82
Figure 38 Velocity contour and streamline of C2 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	83
Figure 39 Pressure contour and streamline of C3 at (a) upstream (b) downstream for Re=1500 on x-z plane	84
Figure 40 Velocity contour and streamline of C3 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	85
Figure 41 Pressure contour and streamline of C4 at (a) upstream (b) downstream for Re=1500 on x-z plane	86
Figure 42 Velocity contour and streamline of C4 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	87
Figure 43 Pressure contour and streamline of C5 at (a) upstream (b) downstream for Re=1500 on x-z plane	88
Figure 44 Velocity contour and streamline of C5 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	89
Figure 45 Pressure contour and streamline of C6 at (a) upstream (b) downstream for Re=1500 on x-z plane	90
Figure 46 Velocity contour and streamline of C6 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=1500 on y-z plane	91
Figure 47 Pressure contour and streamline of C0 from z=H/4 to 3H/4 for Re=2000 on x-z plane	92
Figure 48 Pressure contour and streamline of C1 at (a) upstream (b) downstream for Re=2000 on x-z plane	93
Figure 49 Velocity contour and streamline of C1 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	94
Figure 50 Pressure contour and streamline of C2 at (a) upstream (b) downstream for Re=2000 on x-z plane	95
Figure 51 Velocity contour and streamline of C2 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	96
Figure 52 Pressure contour and streamline of C3 at (a) upstream (b) downstream for Re=2000 on x-z plane	97
Figure 53 Velocity contour and streamline of C3 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	98
Figure 54 Pressure contour and streamline of C4 at (a) upstream (b) downstream for Re=2000 on x-z plane	99
Figure 55 Velocity contour and streamline of C4 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	100
Figure 56 Pressure contour and streamline of C5 at (a) upstream (b) downstream for Re=2000 on x-z plane	101
Figure 57 Velocity contour and streamline of C5 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	102
Figure 58 Pressure contour and streamline of C6 at (a) upstream (b) downstream for Re=2000 on x-z plane	103
Figure 59 Velocity contour and streamline of C6 of cross section (y-z) at the front part of plate, 7th rib and rear part of plate for Re=2000 on y-z plane	104
Figure 60 (a) Temperature contour of C0 (b) Temperature contour of C1  (c) Temperature contour of C2 (d) Temperature contour of C3  for Re=500 on x-y plane	105
Figure 61 (a) Temperature contour of C4 (b) Temperature contour of C5  (c) Temperature contour of C6 for Re=500 on x-y plane	106
Figure 62 (a) Temperature contour of C0 (b) Temperature contour of C1  (c) Temperature contour of C2 (d) Temperature contour of C3  for Re=1000 on x-y plane	107
Figure 63 (a) Temperature contour of C4 (b) Temperature contour of C5  (c) Temperature contour of C6 for Re=1000 on x-y plane	108
Figure 64 (a) Temperature contour of C0 (b) Temperature contour of C1  (c) Temperature contour of C2 (d) Temperature contour of C3  for Re=1500 on x-y plane	109
Figure 65 (a) Temperature contour of C4 (b) Temperature contour of C5  (c) Temperature contour of C6 for Re=1500 on x-y plane	110
Figure 66 (a) Temperature contour of C0 (b) Temperature contour of C1  (c) Temperature contour of C2 (d) Temperature contour of C3  for Re=2000 on x-y plane	111
Figure 67 (a) Temperature contour of C4 (b) Temperature contour of C5  (c) Temperature contour of C6 for Re=2000 on x-y plane	112
Figure 68 Comparison of average Nusselt number for C1, C4 and C0  for X direction at Re=500	113
Figure 69 Comparison of average Nusselt number for C1, C4 and C0  for X direction at Re=1000	113
Figure 70 Comparison of average Nusselt number for C1, C4 and C0  for X direction at Re=1500	114
Figure 71 Comparison of average Nusselt number for C1, C4 and C0  for X direction at Re=2000	114
Figure 72 Comparison of average Nusselt number for C2, C5 and C0  for X direction at Re=500	115
Figure 73 Comparison of average Nusselt number for C2, C5 and C0  for X direction at Re=1000	115
Figure 74 Comparison of average Nusselt number for C2, C5 and C0  for X direction at Re=1500	116
Figure 75 Comparison of average Nusselt number for C2, C5 and C0  for X direction at Re=2000	116
Figure 76 Comparison of average Nusselt number for C3, C6 and C0  for X direction at Re=500	117
Figure 77 Comparison of average Nusselt number for C3, C6 and C0  for X direction at Re=1000	117
Figure 78 Comparison of average Nusselt number for C3, C6 and C0  for X direction at Re=1500	118
Figure 79 Comparison of average Nusselt number for C3, C6 and C0  for X direction at Re=2000	118
Figure 80 Comparison of average Nusselt number for C0 to C6  for X direction at Re=500	119
Figure 81 Comparison of average Nusselt number for C0 to C6  for X direction at Re=1000	119
Figure 82 Comparison of average Nusselt number for C0 to C6  for X direction at Re=1500	120
Figure 83 Comparison of average Nusselt number for C0 to C6 average  for X direction at Re=2000	120
Figure 84 Variation of averaged Nusselt number with Re for C0 to C6	121
Figure 85 Variation of averaged mass fluid rate with Re for C0 to C6	121




                                    

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校內：2023-09-06公開
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