Approximate Calculation of Fall Velocity of Spherical Particle in Generalized Newtonian Fluid in Creeping Region

1993 ◽  
Vol 58 (7) ◽  
pp. 1525-1533 ◽  
Author(s):  
Václav Dolejš
Keyword(s):  
Spherical Particle ◽  
Newtonian Fluid ◽  
Approximate Calculation ◽  
Flow Model ◽  
Force Balance ◽  
Generalized Newtonian Fluid ◽  
Fall Velocity

The paper gives a relation of the Rabinowitsch-Mooney type between the consistency variables τs and Ds which has been suggested, together with the force balance, for approximate calculation of the fall velocity of spherical particle in generalized Newtonian fluid. Its applicability to solutions characterized by the Ellis flow model has been experimentally proved.

Approximate Calculation of Pressure Drop in Laminar Flow of Generalized Newtonian Fluid Through Channels with Insert

1995 ◽  
Vol 60 (9) ◽  
pp. 1476-1491
Author(s):  
Václav Dolejš ◽  
Petr Doleček ◽  
Ivan Machač ◽  
Bedřich Šiška
Keyword(s):  
Reynolds Number ◽  
Pressure Drop ◽  
Laminar Flow ◽  
Numerical Solution ◽  
Newtonian Fluid ◽  
Calculation Method ◽  
Approximate Calculation ◽  
Creeping Flow ◽  
Experimental Results ◽  
Generalized Newtonian Fluid

An equation of Rabinowitsch-Mooney type has been suggested for approximate calculation of pressure drop in flow of generalized Newtonian fluid through channels with insert both in the region of creeping flow and at higher values of the Reynolds number, and this calculation method has been verified for four types of insert using own numerical solution and experimental results as well as literature data.

scholarly journals Velocity Analysis of a Single Vertically Falling Non-Spherical Particle in Newtonian and Non-Newtonian Fluids

2019 ◽  
Vol 9 (1) ◽  
pp. 2206-2209
Keyword(s):  
Spherical Particle ◽  
Newtonian Fluid ◽  
Fractional Power ◽  
Terminal Velocity ◽  
Analytical Investigation ◽  
Force Balance ◽  
Order Method ◽  
Linear Differential ◽  
Methods Analytical ◽  
Force Balance Equation

An analytical investigation is applied for the velocity of a vertically falling non-spherical particle in Newtonian and nonNewtonian fluid. The velocity of vertically falling non-spherical particle can be described by the force balance equation (BassetBoussinesq-Ossen equation). Variational Iterations Method (VIM) and Runge- Kutta 4th order method are used to solve the existing problem. The results were compared those obtained from VIM by R-K 4th order method. We obtained that VIM which was used to solve such non-linear differential equation with fractional power is simpler and more accurate than other methods. Analytical results indicate that the velocity in a falling procedure is significantly increased and more in Newtonian fluid. Also particle’s velocity in Newtonian fluid reaches early at terminal velocity as compare to non-Newtonian fluid. To obtain the results for all different methods, the symbolic calculus software MATLAB is used.

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

A new model for predicting drag coefficient and settling velocity of spherical and non-spherical particle in Newtonian fluid

2017 ◽  
Vol 321 ◽  
pp. 242-250 ◽  
Author(s):  
Xianzhi Song ◽  
Zhengming Xu ◽  
Gensheng Li ◽  
Zhaoyu Pang ◽  
Zhaopeng Zhu
Keyword(s):  
Drag Coefficient ◽  
Spherical Particle ◽  
Newtonian Fluid ◽  
Settling Velocity ◽  
New Model

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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