Flow Resistance and Mass Transfer in Slow Non-Newtonian Flow Through Multiparticle Systems

1992 ◽  
Vol 59 (2) ◽  
pp. 431-437 ◽  
Author(s):  
M. G. Satish ◽  
J. Zhu
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Power Law ◽  
Cell Model ◽  
Flow Behavior ◽  
Solid Sphere ◽  
Power Law Fluid ◽  
Flow Behavior Index ◽  
Flow Through ◽  
Behavior Index

Finite difference solutions for a power-law fluid flow through an assemblage of solid particles at low Reynolds numbers are obtained using both the free-surface cell model and the zero-vorticity cell model. It is shown that, unlike in the case of power-law fluid flow past a single solid sphere, the flow drag decreases with decrease of flow behavior index, and that the degree of this reduction is more significant at low voidage. The results from this study are found to be in good agreement with the approximate solutions at slight pseudoplastic anomaly and the available experimental data. The results are presented in closed form and compare favorably with the variational bounds and the modified Blake-Kozeny equations. Numerical results show that a decrease in the flow behavior index leads to a slight increase in the mass transfer rate for an assemblage of solid spheres, but this increase is found to be small compared with that for a single solid sphere.

Some Discussions on the Flow Factor Tensor—Considerations of Roughness Orientation and Flow Rheology

2000 ◽  
Vol 122 (4) ◽  
pp. 869-872 ◽  
Author(s):  
Wang-Long Li
Keyword(s):  
Power Law ◽  
Reynolds Equation ◽  
Hydrodynamic Lubrication ◽  
Flow Behavior ◽  
Mapping Function ◽  
Power Law Fluid ◽  
Flow Behavior Index ◽  
Random Roughness ◽  
Flow Factor ◽  
Behavior Index

Relations expressing the effects of roughness orientations θi and flow behavior index n of the power-law fluid on the flow factors of area-distributed random roughness in hydrodynamic lubrication are derived. By using a mapping function, the generalized average Reynolds equation contains non-diagonal terms, and the flow factor tensor is symmetrical but not necessarily diagonal according to the coordinate system. Finally, the conditions that two rough surfaces act as though they were perfectly smooth are discussed for some particular combinations. [S0742-4787(00)01604-0]

Note: Rheological changes in cooked cornmeal dough due to differences in moisture content using squeezing flow viscometry/Nota: Efecto del contenido de húmedad en las propiedades reológicas de masa de maíz cocida usando viscometría de compresión entre dos platos lubricados

1995 ◽  
Vol 1 (1) ◽  
pp. 41-45 ◽  
Author(s):  
R.G. Moreira ◽  
T.-Er Lo ◽  
M.E. Castell-Perez
Keyword(s):  
Moisture Content ◽  
Power Law ◽  
Flow Behavior ◽  
Elongational Viscosity ◽  
Squeezing Flow ◽  
Power Law Fluid ◽  
Flow Behavior Index ◽  
Lubricated Squeezing Flow ◽  
Food Processes ◽  
Behavior Index

The elongational viscosity of two different cooked cornmeal dough was determined as a function of moisture content (55-70% wet basis) and differences in cornmeal structure using the lubricated squeezing flow technique. When the flow regime was not governed by the viscoelastic effect, cooked cornmeal dough could be described as a power-law fluid with a flow behavior index, n, of 0.418-0.473 and consistency coefficient, K, ranging from 18.7 to 85.0 kPa s". Regression results indicated that K increased exponentially as moisture content decreased. Results suggested that the technique can be used to characterize the flow behavior and viscosity values of cooked cornmeal dough for further use in control of food processes such as extrusion.

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

Electroosmotic Flow of Power-Law Fluids in a Slit Microchannel

2009 ◽  
Author(s):  
Cunlu Zhao ◽  
Chun Yang
Keyword(s):  
Shear Stress ◽  
Double Layer ◽  
Power Law ◽  
Dynamic Viscosity ◽  
Electroosmotic Flow ◽  
Flow Behavior ◽  
Flow Behavior Index ◽  
Power Law Fluids ◽  
Hyperbolic Cosine ◽  
Behavior Index

Electroosmotic flow of power-law fluids in a slit channel is analyzed. The governing equations including the linearized Poisson–Boltzmann equation, the Cauchy momentum equation and the continuity equation are solved to seek analytical expressions for the shear stress, dynamic viscosity and velocity distributions. Specifically, exact solutions of the velocity distributions are explicitly found for several special values of the flow behavior index. Furthermore, with the implementation of an approximate scheme for the hyperbolic cosine function, approximate solutions of the velocity distributions are obtained. In addition, a mathematical expression for the average electroosmotic velocity is derived for large values of the dimensionless electrokinetic parameter, κH, in a fashion similar to the Smoluchowski equation. Hence, a generalized Smoluchowski velocity is introduced by taking into account contributions due to the finite thickness of the electric double layer and the flow behavior index of power-law fluids. Finally, calculations are performed to examine the effects of κH, flow behavior index, double layer thickness, and applied electric field on the shear stress, dynamic viscosity, velocity distribution, and average velocity/flow rate of the electroosmotic flow of power-law fluids.

scholarly journals Power law fluid flow through a bundle of regular fibers

2015 ◽  
Vol 39 (21) ◽  
pp. 6425-6437 ◽  
Author(s):  
J.A. Kolodziej ◽  
M. Mierzwiczak ◽  
M. Ciałkowski
Keyword(s):  
Fluid Flow ◽  
Power Law ◽  
Power Law Fluid ◽  
Flow Through ◽  
Regular Fibers

scholarly journals Uncertainties quantification and modelling of different rheological models in estimation of pressure losses during drilling operation

2018 ◽  
Vol 7 (2) ◽  
pp. 694 ◽  
Author(s):  
Anawe P. A. L ◽  
Folayan J. Adewale
Keyword(s):  
Power Law ◽  
Averaging Method ◽  
Graphical Method ◽  
Flow Behavior ◽  
Drilling Fluids ◽  
Flow Behavior Index ◽  
Rheological Models ◽  
Pressure Losses ◽  
Pump Pressure ◽  
Behavior Index

The determination of pressure losses in the drill pipe and annulus with a very high degree of precision and accuracy is sacrosanct for proper pump operating conditions and correct bit nozzle sizes for maximum jet impact and forestalling of possible kicks and eventual blow outs during drilling operation. The two major uncertainties in pump pressure estimation that are being addressed in this research work are the flow behavior index (n) and the consistency index factor (k). It is in this light that the accuracy of various rheological models in predicting pump pressure losses as well as the uncertainties associated with each model was investigated. In order to come by with a decisive conclusion, two synthetic based drilling fluids were used to form synthetic muds known as sample A and B respectively. Inference from results shows that the Newtonian model underestimated the pump pressure by 78.27% for sample A and 82.961% by for sample B. While the Bingham plastic model overestimated the total pump pressure by 100.70% for sample A and 48.17% for sample B. Three different power law rheological model approaches were used to obtain the flow behavior index and consistency factor of the drilling fluids. For the power law rheological model approaches, an underestimation error of 23.5743% was encountered for the Formular method for sample A while the proposed consistency index averaging method reduces the error to 14.9306%. The Graphical method showed a reasonable degree of accuracy with underestimation error of 5.6435%. Sample B showed an underestimation error of 47.8234% by using the power law formula method while the Consistency averaging method reduced the error to 20.7508. The graphical method showed an underestimation error of 0.4318%.

Modeling of Power-law Fluid Flow Through Fiber Beds

2005 ◽  
Vol 40 (3) ◽  
pp. 283-296 ◽  
Author(s):  
T. Staffan Lundstrom ◽  
Henrik Sundlof ◽  
J. Anders Holmberg
Keyword(s):  
Fluid Flow ◽  
Power Law ◽  
Power Law Fluid ◽  
Flow Through

scholarly journals A Mixture theory approach for a power-law fluid flow through a porous channel

2015 ◽  
Author(s):  
Jesús A. Puente Angulo ◽  
Maria Laura Martins-Costa ◽  
Heraldo Da Costa Mattos
Keyword(s):  
Fluid Flow ◽  
Power Law ◽  
Mixture Theory ◽  
Porous Channel ◽  
Theory Approach ◽  
Power Law Fluid ◽  
Flow Through
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