scholarly journals On the Shinbrot’s criteria for energy equality to Newtonian fluids: A simplified proof, and an extension of the range of application

2020 ◽  
Vol 196 ◽  
pp. 111809
Author(s):  
Hugo Beirão da Veiga ◽  
Jiaqi Yang
Keyword(s):  
Newtonian Fluids ◽  
Energy Equality

scholarly journals On the energy equality for solutions to Newtonian and non-Newtonian fluids

2019 ◽  
Vol 185 ◽  
pp. 388-402 ◽  
Author(s):  
Hugo Beirão da Veiga ◽  
Jiaqi Yang
Keyword(s):  
Newtonian Fluids ◽  
Energy Equality

Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth

2019 ◽  
Vol 29 (06) ◽  
pp. 1207-1225 ◽  
Author(s):  
Miroslav Bulíček ◽  
Petr Kaplický ◽  
Dalibor Pražák
Keyword(s):  
Power Law ◽  
Three Dimensional ◽  
Uniqueness Result ◽  
Newtonian Fluids ◽  
Index Formula ◽  
Cauchy Stress ◽  
Cauchy Stress Tensor ◽  
Energy Equality ◽  
Regularity Properties ◽  
Uniqueness Of The Solution

We deal with flows of non-Newtonian fluids in three-dimensional setting subjected to the homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity and growth condition on the Cauchy stress tensor expressed by a power index [Formula: see text], we establish regularity properties of a solution with respect to time variable. Consequently, we can use this better information for showing the uniqueness of the solution provided that the initial data are good enough for all power–law indices [Formula: see text]. Such a result was available for [Formula: see text] and therefore the paper fills the gap and extends the uniqueness result to the whole range of [Formula: see text]’s for which the energy equality holds.

HYDRODYNAMICALLY DEVELOPED LAMINAR FLOW OF NON-NEWTONIAN FLUIDS INSIDE DOUBLE-SINE DUCTS

2001 ◽  
Vol 3 (2-3) ◽  
pp. 16 ◽  
Author(s):  
C. L. Chaves ◽  
Joao N. N. Quaresma ◽  
E. N. Macedo ◽  
L. M. Pereira ◽  
J. A. Lima
Keyword(s):  
Laminar Flow ◽  
Newtonian Fluids

Heat transfer for non-Newtonian Fluids

2017 ◽  
Author(s):  
R. C. Armstrong ◽  
B. K. Rao ◽  
Horst Henning Winter
Keyword(s):  
Heat Transfer ◽  
Newtonian Fluids
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