scholarly journals A Graphical Technique for Solving the Couette-Poiseuille Problem for Generalized Newtonian Fluids

2018 ◽  
Vol 63 (1) ◽  
pp. 200-209
Author(s):  
Péter Nagy-György ◽  
Csaba Hős
Keyword(s):  
Newtonian Fluid ◽  
Parallel Plates ◽  
Generalized Newtonian Fluid ◽  
Viscosity Function ◽  
Local Shear ◽  
Graphical Technique ◽  
Profile Flow ◽  
Primary Variable ◽  
Fluid Rheology ◽  
Local Shear Stress

This paper addresses the mixed Couette-Poiseuille problem, that is the flow between two parallel plates, in the presence of simultaneous pressure gradient and wall motion. Instead of the wall-normal coordinate y, we use the local shear stress as our primary variable and rewrite the corresponding formulae for the velocity profile, flow rate, etc. This gives rise to a graphical technique for solving the problem in the case of arbitrary (possibly measured) generalized Newtonian fluid rheology. We demonstrate the use of the proposed technique on two problems: (a) Bingham fluid and (b) a non-Newtonian fluid with general, nonmonotonous viscosity function.

Heat Transfer and Entropy Generation Characteristics of a Non-Newtonian Fluid Squeezed and Extruded Between Two Parallel Plates

2016 ◽  
Vol 139 (2) ◽  
Author(s):  
P Kaushik ◽  
Pranab Kumar Mondal ◽  
Sukumar Pati ◽  
Suman Chakraborty
Keyword(s):  
Heat Transfer ◽  
Newtonian Fluid ◽  
Entropy Generation ◽  
Bejan Number ◽  
Engineering Systems ◽  
Power Law Model ◽  
Parallel Plates ◽  
Unsteady Heat Transfer ◽  
Thermodynamic Performance ◽  
Fluid Rheology

This study investigates the unsteady heat transfer and entropy generation characteristics of a non-Newtonian fluid, squeezed and extruded between two parallel plates. In an effort to capture the underlying thermo-hydrodynamics, the power-law model is used here to describe the constitutive behavior of the non-Newtonian fluid. The results obtained from the present analysis reveal the intricate interplay between the fluid rheology and the squeezing dynamics, toward altering the Nusselt number and Bejan number characteristics. Findings from this study may be utilized to design optimal process parameters for enhanced thermodynamic performance of engineering systems handling complex fluids undergoing simultaneous extrusion and squeezing.

New Approach to Melt Pressure Determination during Screw Channel Flow

2021 ◽  
Vol 36 (2) ◽  
pp. 185-192
Author(s):  
R. Steller ◽  
J. Iwko
Keyword(s):  
Pressure Gradient ◽  
Newtonian Fluid ◽  
Power Law ◽  
Transverse Velocity ◽  
Simple Expression ◽  
Parallel Plates ◽  
Generalized Newtonian Fluid ◽  
Screw Channel ◽  
Directional Flow ◽  
Unidirectional Flow

Abstract Basic equations describing steady, two-directional, isothermal and fully developed drag-pressure flow of generalized Newtonian fluid between parallel plates assumed as the appropriate flow model in flat, shallow screw channel, are given. It is shown that the flow output for any generalized Newtonian fluid in the two-directional case can be described by a simple expression with a few parameters depending in a complicated way on pressure gradient, channel geometry and constants of the constitutive model. The expression is also valid for unidirectional flow as the limiting case of the two-directional flow. The parameters must be determined as a rule with numerical methods. To simplify the practical calculations, a few (semi)analytical methods of parameters determination for unidirectional power law flow are discussed first. These methods make possible to calculate analytically the pressure gradient for known output that is typical of screw flow characterization. The results obtained for the unidirectional flow 1-D were generalized to describe the two-directional flow 2-D, which takes into account both longitudinal and transverse velocity components. The generalization is based on translation and dilation of the 1-D flow characteristics by introducing a few additional parameters, which are only dependent on the helix angle and power law exponent. It was found a very good agreement between exact numerical and approximate ( semi)analytical characteristics for both flows.

Peristaltic Motion of a Generalized Newtonian Fluid Through a Porous Medium

2000 ◽  
Vol 69 (2) ◽  
pp. 401-407 ◽  
Author(s):  
Elsayed F. Elshehawey ◽  
Ayman M. F. Sobh ◽  
Elsayed M. E. Elbarbary
Keyword(s):  
Porous Medium ◽  
Newtonian Fluid ◽  
Peristaltic Motion ◽  
Generalized Newtonian Fluid

A model for the stress tensor in dilute suspensions of rigid spheroids in a generalized Newtonian fluid

2019 ◽  
Vol 264 ◽  
pp. 73-84 ◽  
Author(s):  
Jan Domurath ◽  
Gilles Ausias ◽  
Julien Férec ◽  
Gert Heinrich ◽  
Marina Saphiannikova
Keyword(s):  
Stress Tensor ◽  
Newtonian Fluid ◽  
Generalized Newtonian Fluid ◽  
Dilute Suspensions

Steady-state rimming flow of the generalized Newtonian fluid

2002 ◽  
Vol 14 (9) ◽  
pp. 3350-3353 ◽  
Author(s):  
S. Fomin ◽  
J. Watterson ◽  
S. Raghunathan ◽  
E. Harkin-Jones
Keyword(s):  
Steady State ◽  
Newtonian Fluid ◽  
Generalized Newtonian Fluid ◽  
Rimming Flow
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