Thermal Instability of a Power-Law Fluid Flowing in a Horizontal Porous Layer with an Open Boundary: A Two-Dimensional Analysis

2017 ◽  
Vol 118 (3) ◽  
pp. 449-471 ◽  
Author(s):  
M. Celli ◽  
A. Barletta ◽  
S. Longo ◽  
L. Chiapponi ◽  
V. Ciriello ◽  
...  
Keyword(s):  
Dimensional Analysis ◽  
Porous Layer ◽  
Power Law ◽  
Thermal Instability ◽  
Open Boundary ◽  
Two Dimensional ◽  
Power Law Fluid

Group invariant solution for a pre-existing fracture driven by a power-law fluid in permeable rock

2016 ◽  
Vol 30 (28n29) ◽  
pp. 1640010 ◽  
Author(s):  
A. G. Fareo ◽  
D. P. Mason
Keyword(s):  
Newtonian Fluid ◽  
Power Law ◽  
Numerical Solutions ◽  
Invariant Solution ◽  
Two Dimensional ◽  
Initial Length ◽  
Power Law Fluid ◽  
Group Invariant ◽  
Permeable Rock ◽  
Fluid Leak

Group invariant analytical and numerical solutions for the evolution of a two-dimensional fracture with nonzero initial length in permeable rock and driven by an incompressible non-Newtonian fluid of power-law rheology are obtained. The effect of fluid leak-off on the evolution of the power-law fluid fracture is investigated.

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