Study on Design the Stop Pipe Diameter of Packaging Power-Law Fluid

2012 ◽  
Vol 198-199 ◽  
pp. 128-132
Author(s):  
Yong Ding ◽  
Fu Xin Yang ◽  
Jian Qiang Bao
Keyword(s):  
Shear Stress ◽  
Laminar Flow ◽  
Power Law ◽  
Flow Rate ◽  
Pipe Diameter ◽  
Power Law Fluid ◽  
Fluid Properties ◽  
Acceleration Of Gravity

The distribution of the speed and shear stress in power-law fluid with the laminar flow in the pipe were analyzed in this paper, then, the flow rate was calculated. Moreover, the stop pipe diameter was designed by calculating the balance of shear stress of power-law fluid in the pipe and the gravity of filling fluid. The conclusion: Ideal stop pipe diameter of power-law fluid is related to fluid properties, pressure and the acceleration of gravity.

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.

The influence of magnetic field on wall shear stress in power law fluid flow of blood

2021 ◽  
Author(s):  
Amira Husni Talib ◽  
Ilyani Abdullah ◽  
Nik Nabilah Nik Mohd Naser
Keyword(s):  
Magnetic Field ◽  
Shear Stress ◽  
Fluid Flow ◽  
Wall Shear Stress ◽  
Power Law ◽  
Power Law Fluid ◽  
Wall Shear

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.

scholarly journals Instability of the Non-Isothermal Inclined Film Flow of a Power-Law Fluid With Temperature Dependent Consistency

2021 ◽  
Author(s):  
Mohammad Mahmud Hasan
Keyword(s):  
Power Law ◽  
Theoretical Study ◽  
Film Flow ◽  
Small Variation ◽  
Critical Conditions ◽  
Equilibrium Flow ◽  
Temperature Dependent ◽  
Power Law Fluid ◽  
Long Wavelength ◽  
Fluid Properties

In this thesis we undertake a theoretical study of the flow stability of a liquid film with power-law rheology down a heated incline. We develop and implement a mathematical model for the flow that captures the variation with temperature of the rheological aspect of the fluid. We carry out a linear stability analysis and obtain Orr-Sommerfeld type equations for the evolution of infintesimal perturbations imposed on the equilibrium flow. We obtain asymptotic solutions based on the assumption of perturbations of long wavelength and small variation in viscosity with respect to temperature. We investigate the critical conditions for the onset of instability and determine the effect of a non-Newtonian reheology and the dependence of the fluid properties on temperature

Heat transfer in laminar flow. I. Power-law fluid in annular duct

1972 ◽  
Vol 37 (6) ◽  
pp. 1816-1824 ◽  
Author(s):  
K. Wichterle ◽  
O. Wein ◽  
J. Ulbrecht
Keyword(s):  
Heat Transfer ◽  
Laminar Flow ◽  
Power Law ◽  
Power Law Fluid ◽  
Annular Duct

scholarly journals Flow Characteristics of the Raw Sewage for the Design of Sewage-Source Heat Pump Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Ying Xu ◽  
Yuebin Wu ◽  
Qiang Sun
Keyword(s):  
Turbulent Flow ◽  
Heat Pump ◽  
Power Law ◽  
Loss Factor ◽  
Flow Characteristics ◽  
Power Law Fluid ◽  
Frictional Loss ◽  
Experimental Apparatus ◽  
Fluid Properties ◽  
Sewage Source

The flow characteristics of raw sewage directly affect the technical and economic performance of sewage-source heat pump systems. The purpose of this research is to characterize the flow characteristics of sewage by experimental means. A sophisticated and flexible experimental apparatus was designed and constructed. Then the flow characteristics of the raw sewage were studied through laboratorial testing and theoretical analyses. Results indicated that raw sewage could be characterized as a power-law fluid with the rheological exponentnbeing 0.891 and the rheological coefficientkbeing 0.00175. In addition, the frictional loss factor formula in laminar flow for raw sewage was deduced by theoretical analysis of the power-law fluid. Furthermore, an explicit empirical formula for the frictional loss factor in turbulent flow was obtained through curve fitting of the experimental data. Finally, the equivalent viscosity of the raw sewage is defined in order to calculate the Reynolds number in turbulent flow regions; it was found that sewage had two to three times the viscosity of water at the same temperature. These results contributed to appropriate parameters of fluid properties when designing and operating sewage-source heat pump systems.

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