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Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture

Table 2

Distribution of temperature during cooling of the hot mix in time at different air temperatures

 

Time, min

0

5

10

20

30

40

50

60

Dependence

 

 

 

 

 

 

 

 

 

 

 

 

 

 

–10

160

142

126

99

79

64

53

45

t = 160e-0,022τ

°С

 

0

160

143

128

102

84

70

59

52

t = 160e-0,02τ

 

5

160

143

129

104

86

73

63

55

t = 160e-0,019τ

temperature,

 

 

 

 

 

 

 

 

 

 

 

 

10

160

144

130

106

88

75

66

58

t = 160e-0,018τ

 

20

160

145

132

110

93

81

72

65

t = 160e-0,016τ

 

30

160

146

134

113

98

86

78

72

t = 160e-0,0147τ

Air

 

 

 

 

 

 

 

 

 

 

 

 

40

160

147

136

117

102

92

84

78

t = 160e-0,0133τ

 

 

 

 

50

160

148

138

120

107

97

90

84

t = 160e-0,0119τ

The above data suggest that regardless of the air temperature, the distribution of the temperature in time conforms to general laws and can be described with an exponential dependence. A correlation coefficient for all the equations ranges from 0,98 to 0,99. In order to identify the general laws of the influence of the air temperature on the temperature of the hot mix we will represent the data from Table 2 in relative units. It was found experimentally that the temperature of the hot mix changes most considerably following the distribution along the base depending on the thickness of a layer within 5 to 10 minutes after it has been laid (Table 3).

Table 3

Distribution of the temperature during cooling of the hot mix in time at different air temperatures

 

Time, min

0

5

10

20

30

40

50

60

 

 

 

 

 

 

 

 

 

 

 

 

 

–10

1,27

1,13

1

0,79

0,63

0,51

0,42

0,36

 

 

 

 

 

 

 

 

 

 

 

°С

 

0

1,25

1,12

1

0,80

0,66

0,55

0,46

0,41

 

 

 

 

 

 

 

 

 

 

 

5

1,24

1,11

1

0,81

0,67

0,57

0,49

0,43

temperature,

 

 

 

 

 

 

 

 

 

 

 

 

10

1,23

1,11

1

0,82

0,68

0,58

0,51

0,45

 

 

 

 

 

 

 

 

 

 

 

20

1,21

1,10

1

0,83

0,70

0,61

0,55

0,49

 

 

 

 

 

 

 

 

 

 

 

30

1,19

1,09

1

0,84

0,73

0,64

0,58

0,54

Air

 

 

 

 

 

 

 

 

 

 

 

 

40

1,18

1,08

1

0,86

0,75

0,68

0,62

0,57

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

50

1,16

1,07

1

0,87

0,78

0,70

0,65

0,61

 

 

 

 

 

 

 

 

 

 

 

66

Issue № 1(29), 2016

 

 

ISSN 2075-0811

Let us denote the

obtained coefficient of the effect of the air temperature on the temperature

of the hot mix Кв. Fig. 2 sho s the dependence of the coeffici nt of the effect of the air temperatur on the tem perature of the hot mix with its numerical va lues given by

Кт 0,799e0,0018tв ,

(3)

where т is the co efficient of the effect o f the air te mperature, dimensionl

ss value; t he corre-

lation coefficient i 0,99; tв is the temperature of the air, °С.

 

The ab ove Figure suggests t at as the a ir tempera ure increas es, Кв has more effect, which causes the cooling rate of the hot mix to reduce. It was noted that depending on a type of a mix an bitumen l abel, the te mperature o f making and laying i specified in guideline s. However, de pending o how far a roadway i s, the temperature of an asphalt concrete mi x as it is delivere d on site can be minimum as sp ecified by the guidelines [6, 7]. umerical v alues of the temperature of a mix as it is being c ooled in time depending on the temperatur e as it is delivere d on site is in Table 4.

Coefficient Km

 

 

 

 

 

Air Tempe

rature, ºС

 

 

 

 

 

 

Fig. 2 . Dependenc

 

 

 

 

 

 

 

 

 

 

of the coefficient of the ef fect of the air temperature on the temper ature of the hot mix

 

 

 

 

 

 

 

 

 

 

 

 

 

Table 4

D istribution of

the temperature of the hot mix in time a t different mix temperature s during layi ng

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Time, min

 

0

 

 

 

10

 

20

30

40

50

 

60

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

180

1 2

 

147

 

120

100

87

77

 

69

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Temperature of a mix during

160

1 4

 

131

 

107

90

78

70

 

63

 

 

 

 

 

 

 

 

 

 

 

 

 

140

1 6

 

115

 

95

80

70

63

 

57

laying, 0С

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

120

1 9

 

99

 

82

70

62

55

 

51

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

100

91

 

83

 

70

60

53

48

 

44

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

67

Scientific Herald of t he Voronezh State University o f Architecture and Civil Engineering. Construction and Architecture

In orde to identify the general law of th

effect of the temperature of a mix delivered on site,

let us i ntroduce the coefficie t Ксм allo

ing for th temperature of the hot mix as it is deli-

vered on site and p resent num erical values of the temperature in relative u nits. Let us assume

the temperature of the mix as it is delivered to be 160 0С per unit. The tem peratures of

the mix

in relative units are identified in Table 5.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Table 5

Distribution of the temperature of the hot mix in time

t different te mperatures of the mix durin g

 

 

 

 

(in relative units)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Time, min

 

0

5

 

10

 

20

30

40

50

60

 

Ʃ

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

180

1,13

1,122

 

1,118

 

1 ,112

1,107

1,108

1,04

1,1

 

1,12

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Tempera ture of a mix

160

1

1

 

1

 

1

1

1

1

1

 

1,0

 

 

 

 

 

 

 

 

 

 

 

 

 

140

0,87

0,87

 

0,88

 

0,88

0,8

0,89

0,90

0,9

 

0,87

during laying, 0С

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

120

0,75

0,75

 

0,76

 

0 0,77

0,7

0,78

0,80

0,8

 

0,75

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

100

0,63

0,63

 

0,64

 

0,65

0,6

0,64

0,65

0,6 5

 

0,62

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The ab ve data su ggests that regardless of the temperature of the mix deli vered on site, there is a gen eral law of cooling of the mix in time whic h can be accounted for by introdu cing the coefficient Ксм which is in Fig. 3. The numerical v lue of the coefficient Ксм is given by the followi ng

см 0,336e0,0068tсм ,

(4)

where tсм is the tem perature o f the mix d ring laying; the correlation coefficient is 0,99.

KmCoefficient

Temperature of the mix, ºС

Fig. 3. Dependence o f Ксм on the temperature o the mix as it is being distributed along a roadway ba e course

As asp

alt concrete mixes ar e used, the cooling rate and thus the constru ction times depend

on the

wind speed. Current gu idelines specify restri tions on co nstruction times depe nding on

68

Issue № 1(29), 2016

ISSN 2075-0811

the air temperature and the wind speed [8]. As the air temperature drops, current guidelines certify that the hot asphalt mix is paved onto the base course provided that the wind speed is not over than that as specified in Table 6 [6]. These restrictions depending on the wind speed are due to intensive heat transfer into the environment as the hot mix is distributed in a small layer on a large surfacing area which causes the cooling rate to increase and construction times to increase. The heat transfer coefficient is found to depend on the wind speed [9]. As a result of modeling of thermal processes in asphalt concrete mixes, the wind speed was found to influence the cooling rate of the mix considerably. Fig. 4 shows the cooling rate at different wind speeds and Table 6 –– the temperatures depending on time.

Temperature, ºС

0 m/sec 2–4 m/sec 3–8 m/sec 4–15 m/sec

Time, min

Fig. 4. Effect of the wind speed on the cooling rate of an asphalt concrete mix

Table 6

Change in the temperature of the hot mix in time at different wind speeds

Time, min

 

0

5

10

20

30

40

50

60

 

 

 

 

 

 

 

 

 

 

 

0

160

127

115

95

80

70

63

57

 

 

 

 

 

 

 

 

 

 

 

2

160

122

110

89

75

65

58

53

 

 

 

 

 

 

 

 

 

 

 

4

160

117

105

85

71

61

54

49

Wind speed, m/sec

 

 

 

 

 

 

 

 

 

6

160

113

100

80

67

58

51

46

 

 

 

 

 

 

 

 

 

 

 

8

160

109

96

76

63

55

48

44

 

 

 

 

 

 

 

 

 

 

 

10

160

106

92

73

60

52

46

42

 

 

 

 

 

 

 

 

 

 

 

15

160

98

84

66

54

46

41

38

 

 

 

 

 

 

 

 

 

 

In order to specify the effect of the wind speed on cooling of the hot asphalt concrete mix, let us introduce Table 6 in relative units (Table 7).

69

Scientific Herald of t he Voronezh State University o f Architecture and Civil Engineering. Construction and Architecture

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Table 7

 

Ch ange in the te mperature of the hot mix i n time at different wind speeds

 

 

 

 

 

 

 

(in relative units)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ime, min

 

 

0

5

10

20

 

30

40

50

 

60

Ʃ

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

1

1

 

1

1

 

1

1

1

 

1

1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

1

0,96

0,

96

0,94

 

0,94

0 ,93

0,92

 

0,93

0,936

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4

1

0,92

0,

91

0,89

 

0,89

0 ,87

0,86

 

0,86

0,885

Wind speed, m/sec

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6

1

0,89

0,87

0,85

 

0,84

0 ,83

0,81

 

0,81

0,84

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8

1

0,86

0,83

0,8

 

0,79

0 ,79

0,76

 

0,77

0,795

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10

1

0,83

0

,8

0,77

 

075

0 ,74

0,73

 

0,74

0,76

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

15

1

0,77

0,

73

0,69

 

0,68

0 ,66

0,65

 

0,67

0,685

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The ab ve data su ggests that the wind sp eed influen ces the co ling rate of the hot mix and it increase s as does t he air mass displacement. Cooling complies ith an exp onential dep endence and is g eneral. Ta ing into account the temperature of the mix at the zero speed per unit, we obtain the depende nce of the w ind speed o n the cooli ng of the asphalt concr te mix (Fig. 5).

The nu merical val e of the coefficient is given by the equation

K

0,984e 0,025v ,

(5)

v

 

 

where v is the win speed, m/ seс; the correlation coe fficient is 0 ,99.

Consid ring the specified stru cture of a oadway surfacing, the thickness of a layer can vary. According to the guidelines, a minimum thickness for the upper layer of a surfacing is 0,03 m and for the lower layer 0,08 [13]. Thus the cooli ng rate of t he hot mix and thereb y paving times a re different. Fig. 6 shows the dist ribution of the temper ture of the hot mix de pending on the thickness of a paved la yer at the mix tempera ure during laying 160 0С.

Coefficient Кv

Wind speed, /sec

Fig. 5. Co fficient Кv allowing for th effect of the wind speed

70

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