Group properties and exact solutions for two-dimensional flow of a non-newtonian fluid

2004 ◽  
Vol 83 (2) ◽  
pp. 185-197 ◽  
Author(s):  
K. Fakhar ◽  
Zu-Chi Chen ◽  
S. Haq
Keyword(s):  
Exact Solutions ◽  
Newtonian Fluid ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

scholarly journals On the Exact Solutions of Couple Stress Fluids

2014 ◽  
Vol 1 ◽  
pp. 27-32 ◽  
Author(s):  
Waqar Khan ◽  
Faisal Yousafzai
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Couple Stress ◽  
Two Dimensional ◽  
Compatibility Equation ◽  
Flow Equations ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Stream Functions ◽  
Couple Stress Fluids

Exact solutions of the momentum equations of couple stress fluid are investigated. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.

Two-dimensional flow of a non-Newtonian fluid in the channel of screw machinery with wall slip

1981 ◽  
Vol 41 (1) ◽  
pp. 745-748
Author(s):  
V. P. Pervadchuk ◽  
V. I. Yankov ◽  
V. I. Boyarchenko
Keyword(s):  
Newtonian Fluid ◽  
Wall Slip ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

Exact solutions for steady two-dimensional flow of a stratified fluid

1960 ◽  
Vol 9 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Chia-Shun Yih
Keyword(s):  
Exact Solutions ◽  
Stratified Fluid ◽  
Two Dimensional ◽  
Wave Problem ◽  
Dimensional Flow ◽  
Lee Wave ◽  
Two Dimensional Flow ◽  
Arbitrary Amplitude ◽  
Singularity Distribution ◽  
Two Dimensional Flows

Three classes of exact solutions for steady two-dimensional flows of a stratified fluid are found. The flows which correspond to these solutions have arbitrary amplitude (however defined). Two of the three classes of solutions have close bearings on the lee-wave problem in meteorology. It is also shown that the amplitudes of the lee-wave components (if there is more than one component) depend not on the details of the shape of the barrier, but only on certain simple integral properties of the function for the singularity distribution generating the barrier.

scholarly journals Prandtl's Boundary Layer Equation for Two-Dimensional Flow: Exact Solutions via the Simplest Equation Method

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Taha Aziz ◽  
A. Fatima ◽  
C. M. Khalique ◽  
F. M. Mahomed
Keyword(s):  
Boundary Layer ◽  
Exact Solutions ◽  
Boundary Layer Equation ◽  
Physical Models ◽  
Equation Method ◽  
Two Dimensional ◽  
Closed Form Solutions ◽  
Dimensional Flow ◽  
Simplest Equation Method ◽  
Two Dimensional Flow

The simplest equation method is employed to construct some new exact closed-form solutions of the general Prandtl's boundary layer equation for two-dimensional flow with vanishing or uniform mainstream velocity. We obtain solutions for the case when the simplest equation is the Bernoulli equation or the Riccati equation. Prandtl's boundary layer equation arises in the study of various physical models of fluid dynamics. Thus finding the exact solutions of this equation is of great importance and interest.

scholarly journals Flow of a compressible fluid about a cylinder

1947 ◽  
Vol 192 (1028) ◽  
pp. 45-79 ◽  
Keyword(s):  
Exact Solutions ◽  
Perfect Fluid ◽  
Compressible Fluid ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
The Family ◽  
Two Dimensional Flow ◽  
Infinite Set

In this paper, a family of exact* solutions is found for the two-dimensional flow of a compressible perfect fluid about a cylinder. The present work is restricted to the case where the circulation is zero and the speed at large distances from the cylinder is subsonic; but there is no restriction that the speed near the cylinder be subsonic. In a later paper I hope to remove these restrictions, which are not essential to the theory. The family of solutions involves an infinite set of constants, upon the values of which depends the shape of the cylinder; but the question of so disposing these constants as to suit a prescribed shape is not here entered upon.

scholarly journals Measurement of strain-rate components in a glacier with embedded inclinometers: numerical analysis

2013 ◽  
Vol 59 (215) ◽  
pp. 499-502 ◽  
Author(s):  
Mariam Jaber ◽  
Heinz Blatter ◽  
Marco Picasso
Keyword(s):  
Numerical Analysis ◽  
Flow Field ◽  
Strain Rate ◽  
Newtonian Fluid ◽  
Solid Body ◽  
Rotation Rate ◽  
Unit Vector ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

AbstractInclinometry with embedded probes is analyzed with a Stokes model of a solid body floating in a fluid with much smaller viscosity for a two-dimensional flow field. The assumption that such a probe behaves like a Lagrangian unit vector is only justified for probes embedded in a Newtonian fluid with lengths at least four times their width. A fluid with Glen-type rheology results in a slightly smaller rotation rate of the probe compared to Newtonian fluids.

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