scholarly journals Similarity solution for an unsteady dry patch in a shear-stress-driven thin film of non-Newtonian power-law fluid

2014 ◽  
Author(s):  
Siti Sabariah Abas ◽  
Yazariah Mohd Yatim
Keyword(s):  
Thin Film ◽  
Shear Stress ◽  
Power Law ◽  
Similarity Solution ◽  
Power Law Fluid ◽  
Dry Patch

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

scholarly journals Travelling-Wave Similarity Solution for Gravity-Driven Rivulet of a Non-Newtonian Fluid

2018 ◽  
Vol 7 (2.15) ◽  
pp. 38
Author(s):  
Siti Sabariah Abas ◽  
Yazariah Mohd Yatim ◽  
. .
Keyword(s):  
Power Law ◽  
Similarity Solution ◽  
Travelling Wave ◽  
Global Maximum ◽  
Surface Tension Effect ◽  
Power Law Fluid ◽  
Transverse Profile ◽  
Strong Surface ◽  
Gravity Driven ◽  
Power Law Index

Unsteady travelling-wave similarity solution describing the flow of a slender symmetric rivulet of non-Newtonian power-law fluid down an inclined plane is obtained. The flow is driven by gravity with strong surface-tension effect. The solution predicts that at any time  and position , the rivulet widens or narrows according to , where  is velocity of a rivulet, and the film thickens or thins according to a free parameter , independent of power-law index . The rivulet also has a quartic transverse profile which always has a global maximum at its symmetrical axis.  

scholarly journals Numerical Solution of Biomagnetic Power-Law Fluid Flow and Heat Transfer in a Channel

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 1959
Author(s):  
Adrian S. Halifi ◽  
Sharidan Shafie ◽  
Norsarahaida S. Amin
Keyword(s):  
Heat Transfer ◽  
Shear Stress ◽  
Power Law ◽  
Vortex Formation ◽  
Shear Thickening ◽  
Power Law Model ◽  
Governing Equations ◽  
Power Law Fluid ◽  
Transfer Parameters ◽  
Power Law Index

The effect of non-Newtonian biomagnetic power-law fluid in a channel undergoing external localised magnetic fields is investigated. The governing equations are derived by considering both effects of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). These governing equations are difficult to solve due to the inclusion of source term from magnetic equation and the nonlinearity of the power-law model. Numerical scheme of Constrained Interpolation Profile (CIP) is developed to solve the governing equations numerically. Extensive results carried out show that this method is efficient on studying the biomagnetic and non-Newtonian power-law flow. New results show that the inclusion of power-law model affects the vortex formation, skin friction and heat transfer parameter significantly. Regardless of the power-law index, the vortex formation length increases when Magnetic number increases. The effect of this vortex however decreases with the inclusion of power-law where in the shear thinning case, the arising vortex is more pronounced than in the shear thickening case. Furthermore, increasing of power-law index from shear thinning to shear thickening, decreases the wall shear stress and heat transfer parameters. However for high Magnetic number, the wall shear stress and heat transfer parameters increase especially near the location of the magnetic source. The results can be used as a guide on assessing the potential effects of radiofrequency fields (RF) from electromagnetic fields (EMF) exposure on blood vessel.

scholarly journals Steady flow of a power law fluid through a tapered non-symmetric stenotic tube

2019 ◽  
Vol 4 (1) ◽  
pp. 255-266 ◽  
Author(s):  
Riaz Ahmad ◽  
Asma Farooqi ◽  
Jiazhong Zhang ◽  
Nasir Ali
Keyword(s):  
Exact Solution ◽  
Shear Stress ◽  
Steady Flow ◽  
Power Law ◽  
Governing Equation ◽  
Axial Velocity ◽  
Shear Thickening ◽  
Power Law Fluid ◽  
Shear Thickening Fluid ◽  
Parameters Of Interest

AbstractA steady flow of a power law fluid through an artery with a stenosis has been analyzed. The equation governing the flow is derived under the assumption of mild stenosis. An exact solution of the governing equation is obtained, which is then used to study the effects of various parameters of interest on axial velocity, resistance to flow and shear stress distribution. It is found that axial velocity increases while resistance to flow decreases when going from shear-thinning to shear-thickening fluid. Moreover, the magnitude of shear stress decreases by increasing the tapering parameter. This problem was already addressed by Nadeem et al. [14], but the results presented by them were erroneous due to a mistake in the derivation of the governing equation of the flow. This mistake is highlighted in the "Formulation of the Problem" section.

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.

Thin film elastohydrodynamic lubrication—a power-law fluid model

2006 ◽  
Vol 39 (11) ◽  
pp. 1474-1481 ◽  
Author(s):  
Hsiao-Ming Chu ◽  
Wang-Long Li ◽  
Yuh-Ping Chang
Keyword(s):  
Thin Film ◽  
Power Law ◽  
Fluid Model ◽  
Elastohydrodynamic Lubrication ◽  
Power Law Fluid

Hiemenz Magnetic Flow of Power-Law Fluids

1974 ◽  
Vol 41 (3) ◽  
pp. 822-823 ◽  
Author(s):  
Dj. S. Djukic
Keyword(s):  
Magnetic Field ◽  
Shear Stress ◽  
Field Strength ◽  
Power Law ◽  
Transverse Magnetic ◽  
Power Law Fluid ◽  
Plane Flow ◽  
Magnetic Flow ◽  
Power Law Fluids ◽  
The Magnetic Field

The Galerkin approximative technique is used to solve the problem of stagnation in plane flow, the so-called “Hiemenz flow”, of a non-Newtonian power-law fluid in presence of a constant transverse magnetic field. The influence of the magnetic field strength on the wall shear stress is analyzed.

Analysis of Lubrication Theory for the Power Law Fluid

1993 ◽  
Vol 115 (1) ◽  
pp. 71-77 ◽  
Author(s):  
M. W. Johnson ◽  
S. Mangkoesoebroto
Keyword(s):  
Thin Film ◽  
Pressure Gradient ◽  
Power Law ◽  
Arbitrary Shape ◽  
Three Dimensional ◽  
Lubrication Theory ◽  
Slider Bearing ◽  
Power Law Fluid ◽  
Rigid Walls ◽  
Working Out

A lubrication theory for the power law fluid is developed and analyzed. Only the infinite width gap is considered. Considered is flow between rigid walls of arbitrary shape under combined Couette and squeezing motion with a pressure gradient. Equations appropriate to a thin film are derived by asymptotic integration of the three-dimensional equations of fluid mechanics. Further integration of these equations yields an algebraic equation for the pressure gradient. Working out the details of the structure of this equation enables us to develop a numerical algorithm for its solution. To illustrate the theory, it is used to calculate the pressure distribution for a parabolic slider bearing and the pressure gradient and velocity distribution when the mass flux is prescribed. The latter results are compared with results obtained earlier by Dien and Elrod (1983).

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