Hai-Yan Yu , Pei-Jian Gong and Fu-You Xu3)€¦ · Hai-Yan Yu1), Pei-Jian Gong2) and Fu-You Xu3)...

The 2018 World Congress on Advances in Civil, Environmental, & Materials Research (ACEM18) Songdo Convensia, Incheon, Korea, August 27 - 31, 2018

Aerostatic Characteristics of Pipeline suspension bridge with Ice Accretion

*Hai-Yan Yu1), Pei-Jian Gong2) and Fu-You Xu3)

1), 2) School of Civil Engineering, Dalian University of Technology, Dalian, China

1)[email protected]

ABSTRACT

The aim of this paper is to study the characteristics of ice accretion on pipeline suspension bridges and the effects of ice accretion on the static aerodynamic stability of pipeline suspension bridges. The size and shape of ice on pipeline suspension bridge under freezing rain condition are investigated in a refrigerated precipitation icing laboratory. The influences of pipeline diameters and rainfall on ice accretion of pipelines are studied. A description of the geometric characteristics of the ice accretion of pipeline suspension bridge is proposed. The aerostatic force coefficients of pipeline suspension bridges were then measured with varying attack angles and ice types. The aerostatic force coefficients are found to be significantly affected by the characteristics of the ice accretion. The results can be used for evaluating the effect of ice accretion and future efforts in ice accretion modeling on the aerostatic performance of a pipeline suspension bridge.

1. INTRODUCTION

For the next two decades, the construction of pipeline network will be promoted in Southern China (e.g., Yunnan and Guizhou province) and northwest China. And pipeline suspension bridges are suspension bridges that carry pipelines of natural gas, oil or water across rivers, canyons or other natural or man-made obstacles. Compared with highway suspension bridges, pipeline suspension bridges are narrower, lighter, more flexible, and more blunt, which makes pipeline suspension bridges more sensitive to wind-induced excitation and prone to aeroelastic instabilities. Unfortunately, rime and glaze are very common in Southern China. Pipeline suspension bridges in these regions may encounter ice accretion. It can cause damage of bridges or modify their aerodynamic characteristics, leading to galloping. A fire or explosion may occur once the oil or gas leakage out of the pipeline. It will not only cause economic losses but lead

to heavy casualties and catastrophic secondary environmental disasters. Therefore, it’s

necessary to evaluate the effects of ice accretion on the aerodynamic properties of pipeline suspension bridges.

Ice accretion is one major concern that may endanger the safety operation of structures in cold regions. It may leads to insulator flashover, power line conductor


outage, transmission tower collapse, wind-induced vibration of bridge cable, flight accident, vegetation fracture, and traffic accident, etc. Hence, in order to realistically address the wide range of ice accretion issues, much effort has been focused on developing and validating simulation and experimental techniques. Existing icing researches are mainly focused on the ice accretions of bridge cables (Gjelstrup et al., 2012; Demartino et al., 2013), insulators (Masoud, 2000; Farzaneh et al., 2003),

transmission wires (Makkonen, 1984; Wang et al., 2010; Kollár & Farzaneh, 2010;

Lébatto et al., 2015), airfoils (Frank and Abdollah, 2002; Cao et al., 2016), wind turbine

blades (Han et al.,2012; Villalpando et al., 2016), and transmission towers (Makkonen et al., 2014). The ice accretion on structures exposed to the atmosphere can induce structural failures since ice load, in some cases combined with wind actions. To the

author’s knowledge, no research has been conducted so far concerning the ice

accretion on pipeline suspension bridges. Previous researches on the feature and effect of ice accretion mainly focus on

structures with cylinder cross section (e.g., transmission line, bridge cable, etc.) (Makkonen and Fujii, 1993; Jones, 1996; Koss et al., 2012; Virk et al. 2015; Demartino et al., 2015). Koss and Matteoni (2011) studied the influence of ice accretion on static load coefficients for a horizontal cable. Gjelstrup et al. (2012) found that large amplitude vibrations of hangers were due to the accretion of a thin layer of ice on the hangers.

The vortex shedding was recorded in wind tunnel for icing bridge cable by Marušić and

Kozmar (2014). Demartino et al. (2015) showed that the aerodynamic force coefficients of bridge cables were significantly affected by the characteristics of the ice accretion on bridge cables. However, the cross sections of pipeline suspension bridges are much more complicated than cylinder, and the diameters of pipelines (0.4m-1.2m) are much larger than those (smaller than 16 cm) in the above literatures.

The present work aims at investigating the ice accretion on pipeline suspension bridges and the effects of ice accretions on the aerostatic force coefficients of pipeline suspension bridges. The features of ice accretions on different components of pipeline suspension bridges under freezing-rain condition are studied in a refrigerated precipitation icing laboratory. Ice accretion models are printed by using a 3-dimensional (3D) printer according to the experimentally obtained ice accretion shapes. The effects of ice accretions on the aerostatic force coefficients of a single pipeline suspension bridge with and without ice accretions are extracted through wind tunnel tests.

2. EXPERIMENTAL SETUP OF ICING TESTS

2.1 FACILITIES AND EXPERIMENTAL PROCEDURE

The icing experiments were carried out in the Refrigerated Precipitation Icing Laboratory of Dalian University of Technology in China. The laboratory has a work section of 4.7 m (length), 3.7 m (width), and 2.6 m (height). The temperature in the test

zone can be adjusted continuously between -20℃ ~ 20℃ with an accuracy of ± 0.1℃.

Icing objects are supported on the steel brackets, as shown in Fig. 1. Several air-atomizing nozzles are used to spray water to simulate rainfall or high humidity.


The climatic chamber and icing objects were cooled down to the desired

temperature (-10℃) before spraying water. And the average humidity is 80% in the

laboratory. The testing apparatus is exposed to a flow of water with a rainfall intensity of 70 mm/h. The precipitation direction is vertically downward without considering the

influence of wind flow. The water are chilled to 0 to 2℃ before transferring into the

nozzle position. This paper mainly studied the ice shape of pipeline suspension bridge without considering the influence of ambient temperature and rainfall intensity. The ambient temperature and rainfall intensity were much lower and higher than typical values encountered during freezing rain, because the laboratory was designed to simulate icing events rapidly as ice thickness increases with increasing precipitation

rate and decreasing ambient temperature (Lébatto et al., 2015). The accreting ice may

be melted if the water is sprinkled continuously. Because the temperature of injected water droplets is higher than the surface temperature of the icing object and since the latent heat deriving from freezing of the impinging supercooled water droplets. Therefore, in order to accelerate the icing speed, we sprinkle water for 2 minutes each 7 minutes in order that the water have enough time to freeze.

Fig. 1 Experiments setup

The following data were measured after each experimental trial: the thicknesses (h) and shape of radial ice, the lengths, spaces, and diameters of the icicles. Ice profiles were recorded by taking photos of their front and top views. h are measured at 6 cross sections with distances of 10 cm. For each section, h are measured at 7 fixed

points around the circumference in the range of θ = -90º ~ 90º with an incremental of

30º (Fig. 1), and the final results of the measuring points are obtained as the mean

values of the corresponding point at the 6 sections. To describe the icing range of radial

ice of pipeline, we define μ as the ratio of the area of radial ice to the flank area of

pipeline (does not include the area of icicle). Icicles can be simplified as the circular truncated cones which can be characterized by the icicle lengths (l), longitudinal top diameters (dt), longitudinal bottom diameters (db), and longitudinal center spacings (s). The ice thickness on the guardrail, grate plate, truss, and pipeline of the section model

Steel bracket

Icing

object

Nozzles


are determined by the average value of 6 marked sections.

(a) (b)

Fig. 2 Schematic diagram of cross section (unit: mm): (a) section A, (b) section B

2.2 MODEL FABRICATIONS AND TESTING CASES

Pipeline is the largest component for a section of pipeline suspension bridges. So we studied the icing characteristics of the pipeline in detail. The pipelines are made of plexiglass. The scaling ratios of the single-row and double-deck section model (section A) and single pipeline section model (section B) (Fig. 2) are both 1/6. The length (L), width (B), and height (H) of the models are 103, 32.5, and 41.7 cm, respectively. The trusses are simulated by angle aluminum or groove aluminum. The pipelines are simulated by PVC tubes or steel pipes. The grate plates and guardrails are simulated by plexiglass. The ends of the pipelines are sealed to prevent water entering their interior. The test cases are listed in Table 1.

Table 1 Summary of icing test cases

Section type Section size (cm) Length L (cm) Dip angle γ (º)

pipeline ϕ 40, ϕ 30, ϕ 20, ϕ 15, ϕ 10, ϕ 5 50 0

section A 32.5×41.7 103 0

section B 32.5×41.7 103 0

3. CHARACTERISTICS OF THE ICE ACCRETION

3.1 PIPELINE

3.1.1 INFLUENCE OF RAINFALL

The profiles and thicknesses of radial ices on pipeline with different diameters (d) at water spray times N = 60, 80, 100 and 120 are shown in Fig. 3. The main findings are:

(1) h increases and the ice profile changes with increasing N. For pipeline with d

= 40 cm, when N = 60, the ice profile is crescent shape, and h0 > h±30 > h±60 (h±30, h±60

and h0 are the ice thicknesses at θ = ±30º, ±60º and 0º, respectively); when N = 80

hanger

winder hanger

pipeline660

pipeline660

pipeline660

maintenance passage

guardrail

wind hanger

hanger


and 100, the ice profile is D shape, and h0 < h±30 < h±60; when N = 120, the ice profile is

sector shape, and h0 = h±30 = h±60. For d = 5 ~ 20 cm, the ice profile is sector shape

when N = 60 ~ 120. These observations are similar with the results concerning the ice profile on cylinders with smaller diameters (d < 16 cm) in Fukusako et al. (1989) and Koss et al. (2012).

(2) h are quite uniformly distributed for - 60° < θ < 60°. However, h decreases

rapidly from θ = 60° and -60° to θ = 90° and -90°, respectively. Because some droplets

directly dripped off the pipeline at θ = ±60º, and only part of droplets flow down along

the pipeline surface at θ = 60° ~ 90º and θ = -60° ~ -90º.

(3) The ice profile changes from crescent shape to D shape and then to sector shape with increasing h0/d. The ice profile are crescent shape, D shape, and sector shape for d/h0 < 33, 11 < d/H0 < 20, and 1.3 < d/h0 < 14, respectively. It can be speculated that large-diameter pipelines need more rainfall than small-diameter pipelines to form the same type radial ice under the same condition. The crescent, D, and secter-shaped radial ice can be simplified to the models shown in Fig. 4. The crescent shape can be simpled as a arc which can be characterized by g (the

thicknesses at the end point of radial ice), h0, and μ (Fig. 4(a)). The D shape ice can be

divided into three segments (Fig. 4(b)): the segments of ad and be are arcs, and the segment of dce is a spline curve. The sector shape also can be divided into three segments (Fig. 4(c)), the segments of ad, be, and dce are arcs, and the ice thicknesses at point d, c and e are the same. In addition, l and dt increase with increasing the rainfall.

(a) (b)

-120 -90 -60 -30 0 30 60 90 1200.0

0.7

1.4

2.1

2.8

3.5

h (

cm)

(°)

N=60 N=80

N=100 N=120

d=40cm

-120 -90 -60 -30 0 30 60 90 1200.0

0.8

1.6

2.4

3.2

4.0

h (

cm)

(°)

N=60 N=80

N=100 N=120

d=30cm


(c) (d)

(e) (f)

Fig. 3 Thickness of radial ice: (a) d = 40 cm, (b) d = 30 cm, (c) d = 20 cm, (d) d = 15 cm, (e) d = 10 cm, (f) d = 5 cm

(a) (b) (c)

Fig.4 Simplified model of radial ice: (a) crescent shape, (b) D shape, (c) sector shape

3.1.2 INFLUENCE OF DIAMETER

h0 and μ of radial ices of pipielines with different d are shown in Fig. 5. It is shown

that h0 for pipelines with different d increases in a similar manner with increasing N

when N ≥ 60; h0 decreases linearly with increasing d. The observation suggests that

the differences between the ice thicknesses of diameters are mainly developed in the initial stage (N < 60). The phenomenon can be explained as follows: 1) for a pipeline with small d, droplets rapidly cover its surface and then cooled into a thin ice; 2) a

-120 -90 -60 -30 0 30 60 90 1200

1

2

3

4

h

(cm

)

(°)

N=60 N=80

N=100 N=120

d=20cm

-120 -90 -60 -30 0 30 60 90 1200

1

2

3

4

h (

cm)

(°)

N=60 N=80

N=100 N=120

d=15cm

-120 -90 -60 -30 0 30 60 90 1200.8

1.6

2.4

3.2

4.0

h (

cm)

(°)

N=60 N=80

N=100 N=120

d=10cm

-120 -90 -60 -30 0 30 60 90 1200.0

0.9

1.8

2.7

3.6

4.5

h (

cm)

(°)

N=60 N=80

N=100 N=120

d=5cm


pipeline with larger d need more time for droplets to cover its surface, and therefore, the development of ice thickness in the early stage is slow; 3) after the surfaces are covered by ice, the ice thickness of pipeline with different d develop at a comparable speed because the area to receive droplets for pipelines is proportional to their

diameter. μ decrease with increasing d. Because it needs more kinetic energy to

overcome the friction when droplets flow downward for larger pipeline, and the droplets may be locked by the ice before they flow downward.

(a) (b)

Fig. 5 Thickness and range of radial ice of different diameter pipelines: (a) h0 vs. d under different rainfall conditions, (b) ice range when N=120

0 9 18 27 36 450.9

1.8

2.7

3.6

4.5

N=60 N=80

N=100 N=120

h0 (c

m)

d (cm)

N=60 N=80

N=100 N=120

Linear Fit of Sheet1 B

Linear Fit of Sheet1 D

Linear Fit of Sheet1 F

Linear Fit of Sheet1 H

Equation

Weight

Residual Sum of

Squares

Pearson's r

Adj. R-Square

?$OP:A=1

?$OP:A=2

?$OP:A=3

?$OP:A=4

0 7 14 21 28 35 4255

60

65

70

75

80

(

%)

d (cm)

Equation

Weight

Residual Sum of

Squares

Pearson's r

Adj. R-Square

?$OP:A=1

?$OP:A=2

?$OP:A=3

?$OP:A=4

?$OP:A=5

?$OP:A=6

?$OP:A=7

d=5c

m d=10c

m

d=20c

m

d=30c

m d=40c

m

d=15c

m


Fig.6 Profiles and side views of ice accretions for various diameter pipelines (N=120)

The corresponding profiles and side views of ice of pipelines are shown in Fig. 6. The icicles on the pipelines have two rows and the direction is vertically downward as runoff water freezes to the sides of the icicles. The variations of icicle sizes versus d

are shown in Fig. 7. It can be seen that l increases with increasing d for 5 cm ≤ d ≤ 15

cm. The phenomenon may be explained as follows: 1) longer icicles are the results of an increase of the external heat flux in combination with the availability of run-down water under the pipeline; 2) pipelines with larger d capture more water while most of the droplets cannot freeze into radial ice on its surface, and the redundant droplets that does not freeze to the sides of the icicle is flow down to its tip where it may freeze, the result is increasing l. Unfortunately, the growth of l is blocked after l > 15 cm due to the

limitation of the height of the steel brackets (50 cm). Consequently, l for 15 cm < d ≤ 40

cm are almost identical. It can be reasonably speculated that l will continue to increase

with increasing d for 15 cm < d ≤ 40 cm if there are enough space. s increases linearly

with increasing d. dt also increases linearly with increasing d, while db almost keeps constant (around 0.5 cm) with varying d and N. There are non-uniformity for the l, s, and dt of icicles.

(a) (b)

Fig. 7 Icicle size of pipelines: (a) length, (b) center space and upper diameter

3.2 SECTION MODEL

The ice accretions on section models of a section A and section B are shown in Fig. 8. It shows that:

(1) Many icicles are formed on the guardrails and grate plates, and the icicles on the guardrails (the average length is 6 cm) are longer than those on the grate plates (the average length is 5 cm).

(2) It’s equal to enlarge the size of the surface facing droplets after icing for angle

steel and U-steel. The porosity and thickness of the grate plate decreases and

0 7 14 21 28 35 420

10

20

30

40

50

l (c

m)

d (cm)0 7 14 21 28 35 42

0

1

2

3

4

5

dt Fitted of d

t

s o

r d

t (c

m)

d (cm)

s Fitted of sEquation

Weight

Residual Sum of Squares

Pearson's r

Adj. R-Square

?$OP:A=1

?$OP:A=2


increases after icing, respectively. (3) Due to the obstruction of the upper pipeline of the section A, H0 of the upper

lay (0.2 cm) is much smaller than that of the lower layer (0.5 cm). The ice thicknesses and ice shapes on the pipelines of the section models are basically the same as those on the corresponding pipelines described before. Therefore, the results for pipelines can be used as references for simulating the ice on pipeline suspension bridges.

(a) (b)

Fig. 8 Profiles and side views of icing section model: (a) section A, (B) section B

(a) (b) (c) (d)

Fig. 9 Schematic diagram of ice accretion (mm): (a) crescent shape of pipeline, (b) D shape of pipeline, (c) sector shape of pipeline, (d) crescent shape of guardrail

(a) (b) (c)

Fig. 10 Side view of icicles (mm): (a) crescent shape of pipeline, (b) D shape and sector shape of pipeline, (c) crescent shape of guardrail

4. ICE ACCRETION MATHEMATICAL MODEL

The simplified mathematical model for ice accretion can be determined according to the measured parameters. The crescent shape, D shape, and sector shape (Fig. 9) were selected to model the ice accretion on pipeline. For the crescent shape of radial ice, the icicles (Fig. 9 (a)) are comparatively shorter than those of D shape and sector shape (Fig. 9 (b) and (c)). dt and db of the icicles were 0.5 cm and 0.25 cm, respectively. The ice accretion on angle steel and U-steel were simulated by the adhesive tapes with wide of 2 cm and thickness of 0.3 cm glued on to the outer side.

10

25

108▲108▲

108▲

d =110

d =110d =110

20

50

50

70

5

2.5

70 5

0

15

25

5

2.5

5

2.5

10

25

108▲108▲

108▲

d =110

d =110d =110

20

50

50

70

5

2.5

70 5

0

15

25

5

2.5

5

2.5

10

25

108▲108▲

108▲

d =110

d =110d =110

20

50

50

70

5

2.5

70 5

0

15

25

5

2.5

5

2.5

10

d=10

10

20

22

52


Plexiglass plate (with thickness of 1 cm) was used to simulate the icing grate plate, and the porosity of grate plate was reduced to 64%. The crescent shape with h0 = 1 cm is applied for radial ice of guardrail (Fig. 9 (d)), while dt and db of the icicles were 0.5 cm and 0.2 cm, respectively. And the icicles spacings are shown in Fig. 10. The ice accretion models of the pipelines and guardrails are printed by 3D printing technology and then glued on to the section models.

(a) (b)

Fig. 11 The section model: (a) test photo, (b) coordinate system of three-component aerostatic forces (unit: cm)

5. AEROSTATIC FORCES

5.1 EXPERIMENTAL SYSTEM

The tests were carried out in the DUT-1 boundary-layer wind tunnel at Dalian University of Technology in China, as shown in Fig.11 (a). The AFCs of the bridge deck section model (Fig.2 (b)) of a Huanghe River pipeline suspension bridge (main span

length: 270 m) located in China are studied. The initial attack angle α was varied in the

range of -12º to 12º with an incremental of 1º. The wind speed is 15 m/s. The

aerostatic forces acting on the section model are composed of three components: FH, FV and MT in the model axis coordinate system or FD, FL and MZ in the wind axis coordinate system, as shown in Fig.11 (b). The AFCs can be defined as follows:

（1a）

（1b）

F

F

H

V

FD

FL

O

U

12.3

MZ

21

2

D

D

FC

U HL

aa

21

2

L

L

FC

U BL

a


（1c）

where H, B, L are the deck height, width, and length, respectively; CD(α), CL(α), and

CM(α) are the drag, lift, and torsional moment coefficients, respectively; U is the wind

speed, and ϼ is the air density (1.225 kg/m3). The measuring torsional rigidity center is

the point O.

5.2 AEROSTATIC FORCE COEFFICIENTS

The variations of AFCs versus α are shown in Fig. 12. It can be seen that the

variation trend of AFCs versus α of the iced section models and the original are similar.

CL of the original increases gradually with increasing α in the range of α = -12° ~ -3°,

and then gradually decrease with increasing α in the range of α = -3° ~ 12°; while CL for

pipeline with D shape ice is basically invariant in the range of α = -12° ~ -3°, and then

gradually decreases with increasing α; CL for pipeline with crescent shape ice and

sector shape ice decreases gradually with increasing α. CL for pipeline with sector

shape ice is larger than which have crescent shape ice and D shape ice. The variation

of CM is relatively weak with varying α, and CM for pipeline with D shape ice is larger

than those with crescent shape ice and sector shape ice. The AFCs of the iced section models are much higher than those of the corresponding originals, indicating that the aerostatic property of pipeline suspension bridge is significantly affected by the ice accretions.

(a) (b) (c)

Fig. 12 AFCs vs. attack angles: (a) CD, (b) CL, (c) CM

6. CONCLUSION

The dependence of the size and shape of ice on the pipeline suspension bridge under the freezing rain condition was investigated in a temporary climate laboratory. The main observations regarding the effects of the different rainfalls and pipeline diameters as they are varied may be summarized. The shape of radial ice of pipeline is

2 21

2

Z

MC

M

U B L

aa

-12 -9 -6 -3 0 3 6 9 120.65

0.70

0.75

0.80

0.85

0.90

0.95

1.00 Original

Crescent shape

a (°)

D shape Sector shape

CD

-12 -9 -6 -3 0 3 6 9 12-0.2

-0.1

0.0

0.1

0.2

0.3

0.4

0.5

Original Crescent shape


a (°)

CL

-12 -9 -6 -3 0 3 6 9 120.12

0.16

0.20

0.24

0.28

0.32

Original Crescent shape


a (°)

CM


related to the rainfall and diameter. Ice profile of pipeline change from crescent shape to D shape and then to sector shape with increasing ice thickness. The radial ice thickness and range decrease with increasing diameter. The relationship between the diameter of pipeline and the range of radial ice, between the ice thickness at the stagnation point, water spray times, and the diameter of pipeline are obtained under certain conditions. And the mathematical models of the ice of pipeline are extracted. There are non-uniformity for the length, longitudinal center spacing, and longitudinal top diameter of icicles, but they are also related to the diameter of pipeline and the mean

values increase with increasing diameter. It’s equal to enlarge the size of the surface

that receives droplets after icing for truss stiffening girder and grate plate. The ice thickness of the lower pipeline is smaller than the upper pipeline for the single-row and double-deck section model. The aerostatic force coefficients increases obviously after icing, and the drag coefficient increases with increasing of ice thickness. Lift and torsional moment coefficients with D shape ice are larger than that have crescent shape ice and sector shape ice.

ACKNOWLEDGMENTS

This work was supported by the National Science Foundation of China (grant number 51678115).

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Transcript of *Hai-Yan Yu , Pei-Jian Gong and Fu-You Xu3)€¦ · *Hai-Yan Yu1), Pei-Jian Gong2) and Fu-You Xu3)...

Hai-Yan Yu , Pei-Jian Gong and Fu-You Xu3)€¦ · Hai-Yan Yu1), Pei-Jian Gong2) and Fu-You Xu3)...

Transcript of Hai-Yan Yu , Pei-Jian Gong and Fu-You Xu3)€¦ · Hai-Yan Yu1), Pei-Jian Gong2) and Fu-You Xu3)...