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HAL Id: tel-02596861

https://hal.inrae.fr/tel-02596861

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rhéométrie et validation des caractéristiques

hydrauliques dans un canal à fond mobile Application aux laves torrentielles

A. Ghemmour

To cite this version:

A. Ghemmour. Écoulements à surface libre de fluides à seuil : rhéométrie et validation des carac-

téristiques hydrauliques dans un canal à fond mobile Application aux laves torrentielles. Sciences de

l’environnement. Doctorat en mécanique des fluides, procédés nergétiques, Université de Grenoble,

2011. Français. �tel-02596861�

Présentée par

« Assia GHEMMOUR»

Thèse dirigée par « Mohamed NAAIM » et codirigée par « Guillaume CHAMBON » préparée au sein du Laboratoire : CEMAGREF

dans l'École Doctorale : IMEP2 / Matériaux Mécanique Énergétique Environnement Procédés Production

Écoulements à surface libre de fluides à seuil :

Rhéométrie et validation des caractéristiques hydrauliques dans un canal à fond mobile.

Application aux laves torrentielles.

Thèse soutenue publiquement le «24 octobre 2011», devant le jury composé de :

M. Valéry BOTTON

Maître de conférences à l’INSA de Lyon, Rapporteur

M. Guillaume CHAMBON

Chargé de Recherche au CEMAGREF, Co-encadrant

Mme. Élisabeth GUAZZELLI

Directrice de Recherches au CNRS, Examinatrice

M. Albert MAGNIN

Directeur de Recherches au CNRS, Examinateur

M. Mohamed NAAIM

Directeur de Recherches au CEMAGREF, Directeur de Thèse

M. Guillaume OVARLEZ

Chargé de Recherche au CNRS, Rapporteur

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^NO<YP

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ρ nat · λ

^NO<ZP

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ρ _nat · λ ^{7 6}

^NO<EP

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H _b = 0.4

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ρ

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45-678)(2 /' )-I' *8('# R1 2@6S87 /'2 45-678)(2 /' 968(7:;'(6(7 +8/8*'(28)(('11'2 B$J ℄

/4/-87'2/'2 45-678)(23)(/6*'(761'2/'1@IO/,)/O(6*85-' "G6<8',:97)N'2% /6(21'6/,'/'2

6HH,).8*678)(2 2-8<6(7'2 BDE C ℄T

U# VHH,).8*678)( /@)(/'2 1)(S-'2 "

∂ _x h ≤ 1

^{% T '16 8*H185-' ()76**'(7 5-' 1'27',*'2}

/@6414,678)(<',7861'/-K-8/'2)(7(4S18S'6+1'2C68(285-'7)-21'2S,6/8'(72/')(7,68(7'2

<825-'-2'26-7,'2 5-'

∂ _y σ _xy

^{# W(} H6,78-18',C '16 8*H185-' 5-'16 H,'228)( 6-2'8( /' 16 )-I'/'K-8/' '27H6,7)-71)61'*'(7IO/,)276785-'"<)8, !#U%#

!# VHH,).8*678)(

u ¯ ² = ¯ u ²

^{T 81 2@6S87 /' (' H62 H,'(/,' '( )*H7' 1'2 '?'72} /@6/<'78)(

/8?4,'(78'11' /'5-6(7874/'*)-<'*'(7 /-2A16 ()( -(83),*874/- H,)=1 /'<87'22'#

-.(/0"*#1 '& 2/1& '( )*'+,&

W()(28/4,6(71'26HH,).8*678)(25-8H,40/'(7C1'245-678)(2+8/8*'(28)(('11'2/'968(7:

;'(6(7 )(2787-'(7 -( 2O270*'/O(6*85-' )-H14 /4,8<6(7 1@4<)1-78)( /'1@4H6822'-,

h

^'7/'

16<87'22' I),8X)(761' *)O'((4' /6(21@4H6822'-,/@-(4)-1'*'(7A2-,36'18+,'2'1)("<)8, 16

=S-,' !# % T

∂h

∂t + ∂

∂x (h¯ u) = 0

^"!#J%

∂ u ¯

∂t + ¯ u ∂ u ¯

∂x = g sin θ − g cos θ ∂h

∂x − τ _b (¯ u, h)

ρh

^"!#UY%

6<'

t

^1'7'*H2C

x

^16)),/)((4'1)(S87-/8(61'C

u ¯ = ¹ _h ^R ₀ ^h u (y) dy

^'7

τ _b (¯ u, h)

^{'2716)(7,68(7'}

8268116(7'6-3)(//'1@4)-1'*'(7#Q@45-678)(!#J'.H,8*'16)(2',<678)(/'16*622'/'K-8/'

'71@45-678)( !#UY'.H,8*' 16)(2',<678)(/'16 5-6(7874/'*)-<'*'(7#

Z)-, 3',*', ' 2O270*' /@45-678)(2C 1@'.H,'228)( /'

τ b

^{/)87 [7,' '278*4'# Q6 )(7,68(7'}

+6261'C 3)(78)( /'2 <6,86+1'2 /O(6*85-'2

u ¯

^'7

h

^{C /4H'(/ /' 16 ,I4)1)S8' /- K-8/'# &6(2 1'}