Numerical modelling of incompressible flows for Newtonian and non-Newtonian fluids

2010 ◽  
Vol 80 (8) ◽  
pp. 1783-1794 ◽  
Author(s):  
Radka Keslerová ◽  
Karel Kozel
Keyword(s):  
Numerical Modelling ◽  
Incompressible Flows ◽  
Newtonian Fluids

scholarly journals A passive Stokes flow rectifier for Newtonian fluids

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Aryan Mehboudi ◽  
Junghoon Yeom
Keyword(s):  
Stokes Flow ◽  
Compressible Flows ◽  
Solid Mechanics ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Flow Direction ◽  
Applied Pressure ◽  
Newtonian Fluids ◽  
Passive Flow ◽  
Non Linear

AbstractNon-linear effects of the Navier–Stokes equations disappear under the Stokes regime of Newtonian fluid flows disallowing a flow rectification behavior. Here we show that passive flow rectification of Newtonian fluids is obtainable under the Stokes regime of both compressible and incompressible flows by introducing nonlinearity into the otherwise linear Stokes equations. Asymmetric flow resistances arise in shallow nozzle/diffuser microchannels with deformable ceiling, in which the fluid flow is governed by a non-linear coupled fluid–solid mechanics equation. The proposed model captures the unequal deflection profile of the deformable ceiling depending on the flow direction under the identical applied pressure, permitting a larger flow rate in the nozzle configuration. Ultra-low aspect ratio microchannels sealed by a flexible membrane have been fabricated to demonstrate passive flow rectification for low-Reynolds-number flows (0.001 < Re < 10) of common Newtonian fluids such as water, methanol, and isopropyl alcohol. The proposed rectification mechanism is also extended to compressible flows, leading to the first demonstration of rectifying equilibrium gas flows under the Stokes flow regime. While the maximum rectification ratio experimentally obtained in this work is limited to 1.41, a higher value up to 1.76 can be achieved by optimizing the width profile of the asymmetric microchannels.

Numerical modelling of interfacial soil erosion with viscous incompressible flows

2011 ◽  
Vol 200 (1-4) ◽  
pp. 383-391 ◽  
Author(s):  
Frédéric Golay ◽  
Damien Lachouette ◽  
Stéphane Bonelli ◽  
Pierre Seppecher
Keyword(s):  
Soil Erosion ◽  
Numerical Modelling ◽  
Incompressible Flows ◽  
Viscous Incompressible Flows

Numerical modelling of generalized Newtonian fluids in bypass tube

2019 ◽  
Vol 45 (4) ◽  
pp. 2047-2063
Author(s):  
Radka Keslerová ◽  
Hynek Řezníček ◽  
Tomáš Padělek
Keyword(s):  
Numerical Modelling ◽  
Newtonian Fluids ◽  
Generalized Newtonian Fluids

scholarly journals A Mathematical Interpretation and Validation of the Streamline's Shape Theory for Inviscid-Incompressible Flows & Viscid-Compressible Flows of the Newtonian Fluids

2020 ◽  
Author(s):  
Yuvaraj George
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Compressible Flows ◽  
Incompressible Flows ◽  
Applied Mathematics ◽  
The Body ◽  
Newtonian Fluids ◽  
Shape Theory ◽  
Partial Differential ◽  
First Order

This article objectively assesses, the hypothesis of the streamline's shape theory and its formulated equation. The deduction of proof uses algebra rather than first-order partial differential equations to address the specific hypothesis of "Streamline's shape theory" from the fundamental perspective of applied mathematics and scientifically derives mathematical relations of the axioms and corollaries in the field of fluid dynamics. The algebraic methods employed provide progressively more distinct and precise solutions compared to first-order partial differential equations. The foremost objective of this work is to evaluate if the formulations of the streamline's shape theory can have solutions for inviscid-incompressible and viscid-compressible flows of Newtonian fluids and to identify their nature. Secondly, to understand how the topology of the body and the free-stream conditions affect these solutions with due regards to the shape and size of the body interacting with the fluid flow. Finally, to explore the possibility of this theory to develop a CFD solver for streamline simulation to reduce the experimentation in the analysis of flow-structure interactions of Newtonian fluids and also to identify its scope of applications and limitations.

scholarly journals Numerical Modelling of Newtonian and Non-Newtonian Fluids Flow

PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10181-10182 ◽  
Author(s):  
Radka Keslerová ◽  
Karel Kozel
Keyword(s):  
Numerical Modelling ◽  
Newtonian Fluids

scholarly journals A Mathematical Interpretation and Validation of the Streamline's Shape Theory for Inviscid-Incompressible Flows & Viscid-Compressible Flows of the Newtonian Fluids

2020 ◽  
Author(s):  
Yuvaraj George
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Compressible Flows ◽  
Incompressible Flows ◽  
Applied Mathematics ◽  
The Body ◽  
Newtonian Fluids ◽  
Shape Theory ◽  
Partial Differential ◽  
First Order

This article objectively assesses, the hypothesis of the streamline's shape theory and its formulated equation. The deduction of proof uses algebra rather than first-order partial differential equations to address the specific hypothesis of "Streamline's shape theory" from the fundamental perspective of applied mathematics and scientifically derives mathematical relations of the axioms and corollaries in the field of fluid dynamics. The algebraic methods employed provide progressively more distinct and precise solutions compared to first-order partial differential equations. The foremost objective of this work is to evaluate if the formulations of the streamline's shape theory can have solutions for inviscid-incompressible and viscid-compressible flows of Newtonian fluids and to identify their nature. Secondly, to understand how the topology of the body and the free-stream conditions affect these solutions with due regards to the shape and size of the body interacting with the fluid flow. Finally, to explore the possibility of this theory to develop a CFD solver for streamline simulation to reduce the experimentation in the analysis of flow-structure interactions of Newtonian fluids and also to identify its scope of applications and limitations.

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