Peristaltic Transport of a Power-Law Fluid With Variable Consistency

1982 ◽  
Vol 104 (3) ◽  
pp. 182-186 ◽  
Author(s):  
J. B. Shukla ◽  
S. P. Gupta
Keyword(s):  
Pressure Drop ◽  
Friction Force ◽  
Power Law ◽  
Flow Rate ◽  
Peristaltic Transport ◽  
Peristaltic Wave ◽  
Power Law Fluid ◽  
Peripheral Layer

Effects of the consistency variation on the peristaltic transport of a non-Newtonian power-law fluid fluid through a tube have been investigated by taking into account the existence of a peripheral layer. It is shown that the flow rate flux, for zero pressure drop, increases as the amplitude of the peristaltic wave increases but it decreases due to the pseudoplastic nature of the fluid. It is also noted that, for zero pressure drop, the flux does not depend on the consistency of peripheral layer while the friction decreases as this consistency decreases. However, for nonzero pressure drop, the flux increases and the friction force decreases as the consistency of peripheral layer fluid decreases.

scholarly journals Peristaltic Transport of Power-Law Fluid in an Elastic Tapered Tube with Variable Cross-Section Induced by Dilating Peristaltic Wave

2021 ◽  
pp. 1293-1306
Author(s):  
Mohammed Ali Murad ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Pressure Gradient ◽  
Cross Section ◽  
Power Law ◽  
Variable Cross Section ◽  
Peristaltic Transport ◽  
Peristaltic Wave ◽  
Variable Cross ◽  
Power Law Fluid ◽  
Opposite Behavior ◽  
Local Shear

The peristaltic transport of power-law fluid in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave is studied. The exact solution of the expression for axial velocity, radial velocity, stream function, local shear stress, volume of flow rate and pressure gradient are obtained under the assumption of long wavelength and low Reynolds number. The effects of all parameters that appear in the problem are analyzed through graphs. The results showed that the flux is sinusoidal in nature and it is an increasing function with the increase of  whereas it is a decreasing function with the increase of . An opposite behavior for shear strain is noticed compared to pressure gradient.  Finally, trapping phenomenon is presented to explain the physical behavior of various parameters. It is noted that the size of the trapping bolus increases with increasing  whereas it decreases as  increases. MATHEMATICA software is used to plot all figures.

scholarly journals Flows of Newtonian and Power-Law Fluids in Symmetrically Corrugated Cappilary Fissures and Tubes

2018 ◽  
Vol 23 (1) ◽  
pp. 187-211 ◽  
Author(s):  
A. Walicka
Keyword(s):  
Pressure Drop ◽  
Laminar Flow ◽  
Power Law ◽  
Flow Rate ◽  
Analytical Method ◽  
Volumetric Flow Rate ◽  
Power Law Fluid ◽  
Power Law Fluids ◽  
Hyperbolic Cosine ◽  
Analytical Expressions

AbstractIn this paper, an analytical method for deriving the relationships between the pressure drop and the volumetric flow rate in laminar flow regimes of Newtonian and power-law fluids through symmetrically corrugated capillary fissures and tubes is presented. This method, which is general with regard to fluid and capillary shape, can also be used as a foundation for different fluids, fissures and tubes. It can also be a good base for numerical integration when analytical expressions are hard to obtain due to mathematical complexities. Five converging-diverging or diverging-converging geometrics, viz. wedge and cone, parabolic, hyperbolic, hyperbolic cosine and cosine curve, are used as examples to illustrate the application of this method. For the wedge and cone geometry the present results for the power-law fluid were compared with the results obtained by another method; this comparison indicates a good compatibility between both the results.

Influence of convective conditions on the peristaltic mechanism of power-law fluid through a slippery elastic porous tube with different waveforms

2019 ◽  
Vol 16 (2) ◽  
pp. 340-358 ◽  
Author(s):  
Manjunatha Gudekote ◽  
Rajashekhar Choudhari ◽  
Hanumesh Vaidya ◽  
Prasad K.V. ◽  
Viharika J.U.
Keyword(s):  
Power Law ◽  
Flow Rate ◽  
Velocity Slip ◽  
Elastic Tube ◽  
Slip Parameter ◽  
Convective Conditions ◽  
Power Law Fluid ◽  
Porous Tube ◽  
Content Type ◽  
Similarity Transformations

Purpose The purpose of this paper is to emphasize the peristaltic mechanism of power-law fluid in an elastic porous tube under the influence of slip and convective conditions. The effects of different waveforms on the peristaltic mechanism are taken into account. Design/methodology/approach The governing equations are rendered dimensionless using the suitable similarity transformations. The analytical solutions are obtained by using the long wavelength and small Reynold’s number approximations. The expressions for velocity, flow rate, temperature and streamlines are obtained and analyzed graphically. Furthermore, an application to flow through an artery is determined by using a tensile expression given by Rubinow and Keller. Findings The principal findings from the present model are as follows. The axial velocity increases with an expansion in the estimation of velocity slip parameter and fluid behavior index, and it diminishes for a larger value of the porous parameter. The magnitude of temperature diminishes with an expansion in the Biot number. The flux is maximum for trapezoidal wave and minimum for the triangular wave when compared with other considered waveforms. The flow rate in an elastic tube increases with an expansion in the porous parameter, and it diminishes with an increment in the slip parameter. The volume of tapered bolus enhances with increasing values of the porous parameter. Originality/value The current study finds the application in designing the heart-lung machine and dialysis machine. The investigation further gives a superior comprehension of the peristaltic system associated with the gastrointestinal tract and the stream of blood in small or microvessels.

Numerical Argumentation of any Factors for Effecting Flow Property of a Power-Law Gel Propellant in a Converging Injector

2012 ◽  
Vol 170-173 ◽  
pp. 2601-2608
Author(s):  
Xue Li Xia ◽  
Hong Fu Qiang ◽  
Wang Guang
Keyword(s):  
Pressure Drop ◽  
Power Law ◽  
Flow Rate ◽  
Apparent Viscosity ◽  
Volumetric Flow Rate ◽  
Flow Property ◽  
Newtonian Viscosity ◽  
Convergence Angle ◽  
The Mean ◽  
Injector Design

To evaluate the effect of a converging injector geometry, volumetric flow rate and gallant content on the pressure drop, the velocity and viscosity fields, the governing equations of the steady, incompressible, isothermal, laminar flow of a Power-Law, shear-thinning gel propellant in a converging injector were formulated, discretized and solved. A SIMPLEC numerical algorithm was applied for the solution of the flow field. The results indicate that the mean apparent viscosity decreases with increasing the volumetric flow rate and increasing the gallant content results in an increase in the viscosity. The results indicate also that the convergence angle can produce additional decrease in the mean apparent viscosity of the fluid. The mean apparent viscosity decreases significantly with increasing the convergence angle of the injector, and its value is limited by the Newtonian viscosity η∞. The effect of the convergence angle on the mean apparent viscosity is more significant than the effect of the volumetric flow rate and the gallant content on the mean apparent viscosity. Additional decreasing the viscosity results in increasing the pressure drop with increasing convergence angle. It is important to injector design that the viscosity decreasing and the pressure drop increasing are took into account together.

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