Existence of Traveling Wave Solutions to the Problem of Soil Freezing Described by a Model Called M1
INTRODUCTION-continue - CR99_050010
BALANCE EQUATIONS OF MASS AND HEAT
QUASI-STEADY PROBLEM
Figure 1. Quasi-steady freezing of soil
MODEL STUDY
MODEL STUDY-continue - CR99_050015
MODEL STUDY-continue - CR99_050016
GROWTH OF ICE LAYERS
Proposition 1
Proposition 2
Proposition 3
FROST PENETRATION
Proposition 4
Proof
Proposition 5
Proposition 6
Proposition 8
Proposition 9
Proposition 10
Proposition 12
Proposition 13
SOLUTION IN Sp
Proposition 15
Proposition 15-continue
APPLICATIONS - CR99_050034
Figure 3. Trajectory of α(t).
APPLICATIONS-continue
Figure 4. Calculated values of h (%) vs. V (cm/d) under four different values of α with δ = 1.0 cm and σ = 500 kPa
Figure 6. Calculated values of h (%) vs. Vo (cm/d) with αo = 0.75C/cm, δo = 1.0 cm, σ = 0.75, and 1.0 MPa
LITERATURE CITED - CR99_050039
LITERATURE CITED-continue - CR99_050040
LITERATURE CITED-continue - CR99_050041
Report Documentation Page - CR99_050042
CR99_05
INTRODUCTION-continue - CR99_050010
BALANCE EQUATIONS OF MASS AND HEAT
QUASI-STEADY PROBLEM
Figure 1. Quasi-steady freezing of soil
MODEL STUDY
MODEL STUDY-continue - CR99_050015
MODEL STUDY-continue - CR99_050016
GROWTH OF ICE LAYERS
Proposition 1
Proposition 2
Proposition 3
FROST PENETRATION
Proposition 4
Proof
Proposition 5
Proposition 6
Proposition 8
Proposition 9
Proposition 10
Proposition 12
Proposition 13
SOLUTION IN Sp
Proposition 15
Proposition 15-continue
APPLICATIONS - CR99_050034
Figure 3. Trajectory of α(t).
APPLICATIONS-continue
Figure 4. Calculated values of h (%) vs. V (cm/d) under four different values of α with δ = 1.0 cm and σ = 500 kPa
Figure 6. Calculated values of h (%) vs. Vo (cm/d) with αo = 0.75C/cm, δo = 1.0 cm, σ = 0.75, and 1.0 MPa
LITERATURE CITED - CR99_050039
LITERATURE CITED-continue - CR99_050040
LITERATURE CITED-continue - CR99_050041
Report Documentation Page - CR99_050042
CR99_05
