Bifurcation analysis for a two-dimensional peristaltic driven flow of power-law fluid in asymmetric channel

2020 ◽  
Vol 32 (7) ◽  
pp. 073104
Author(s):  
Nasir Ali ◽  
Kaleem Ullah ◽  
Husnain Rasool
Keyword(s):  
Power Law ◽  
Bifurcation Analysis ◽  
Two Dimensional ◽  
Asymmetric Channel ◽  
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.

Release of a viscous power-law fluid over an inviscid ocean

2012 ◽  
Vol 700 ◽  
pp. 63-76 ◽  
Author(s):  
Samuel S. Pegler ◽  
John R. Lister ◽  
M. Grae Worster
Keyword(s):  
Power Law ◽  
Large Time ◽  
Three Dimensional ◽  
Shear Thinning ◽  
Capillary Forces ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Power Law Fluid ◽  
Initial Shape ◽  
Algebraic Decay

AbstractWe consider the two- and three-dimensional spreading of a finite volume of viscous power-law fluid released over a denser inviscid fluid and subject to gravitational and capillary forces. In the case of gravity-driven spreading, with a power-law fluid having strain rate proportional to stress to the power $n$, there are similarity solutions with the extent of the current being proportional to ${t}^{1/ n} $ in the two-dimensional case and ${t}^{1/ 2n} $ in the three-dimensional case. Perturbations from these asymptotic states are shown to retain their initial shape but to decay relatively as ${t}^{\ensuremath{-} 1} $ in the two-dimensional case and ${t}^{\ensuremath{-} 3/ (n+ 3)} $ in the three-dimensional case. The former is independent of $n$, whereas the latter gives a slower rate of relative decay for fluids that are more shear-thinning. In cases where the layer is subject to a constraining surface tension, we determine the evolution of the layer towards a static state of uniform thickness in which the gravitational and capillary forces balance. The asymptotic form of this convergence is shown to depend strongly on $n$, with rapid finite-time algebraic decay in shear-thickening cases, large-time exponential decay in the Newtonian case and slow large-time algebraic decay in shear-thinning cases.

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

Peristaltic motion of a power-law fluid in an asymmetric channel

2007 ◽  
Vol 42 (10) ◽  
pp. 1153-1161 ◽  
Author(s):  
M.V. Subba Reddy ◽  
A. Ramachandra Rao ◽  
S. Sreenadh
Keyword(s):  
Power Law ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Power Law Fluid
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