scholarly journals Numerical Solution of Non-Newtonian Fluid Flow Due to Rotatory Rigid Disk

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 699 ◽  
Author(s):  
Khalil Ur Rehman ◽  
M. Y. Malik ◽  
Waqar A Khan ◽  
Ilyas Khan ◽  
S. O. Alharbi
Keyword(s):  
Brownian Motion ◽  
Newtonian Fluid ◽  
Fluid Model ◽  
Rotating Disk ◽  
Casson Fluid ◽  
Infinite Domain ◽  
Nanoparticles Concentration ◽  
Navier’S Slip ◽  
Local Sherwood Number

In this article, the non-Newtonian fluid model named Casson fluid is considered. The semi-infinite domain of disk is fitted out with magnetized Casson liquid. The role of both thermophoresis and Brownian motion is inspected by considering nanosized particles in a Casson liquid spaced above the rotating disk. The magnetized flow field is framed with Navier’s slip assumption. The Von Karman scheme is adopted to transform flow narrating equations in terms of reduced system. For better depiction a self-coded computational algorithm is executed rather than to move-on with build-in array. Numerical observations via magnetic, Lewis numbers, Casson, slip, Brownian motion, and thermophoresis parameters subject to radial, tangential velocities, temperature, and nanoparticles concentration are reported. The validation of numerical method being used is given through comparison with existing work. Comparative values of local Nusselt number and local Sherwood number are provided for involved flow controlling parameters.

scholarly journals Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
J. Venkatesan ◽  
D. S. Sankar ◽  
K. Hemalatha ◽  
Yazariah Yatim
Keyword(s):  
Skin Friction ◽  
Yield Stress ◽  
Newtonian Fluid ◽  
Mathematical Analysis ◽  
Fluid Model ◽  
Blood Rheology ◽  
Casson Fluid ◽  
Casson Fluid Model ◽  
Stenosed Artery ◽  
Normal Artery

The flow of blood through a narrow artery with bell-shaped stenosis is investigated, treating blood as Casson fluid. Present results are compared with the results of the Herschel-Bulkley fluid model obtained by Misra and Shit (2006) for the same geometry. Resistance to flow and skin friction are normalized in two different ways such as (i) with respect to the same non-Newtonian fluid in a normal artery which gives the effect of a stenosis and (ii) with respect to the Newtonian fluid in the stenosed artery which spells out the non-Newtonian effects of the fluid. It is found that the resistance to flow and skin friction increase with the increase of maximum depth of the stenosis, but these flow quantities (when normalized with non-Newtonian fluid in normal artery) decrease with the increase of the yield stress, as obtained by Misra and Shit (2006). It is also noticed that the resistance to flow and skin friction increase (when normalized with Newtonian fluid in stenosed artery) with the increase of the yield stress.

scholarly journals Pulsatile Flow of Two-Fluid Nonlinear Models for Blood Flow through Catheterized Arteries: A Comparative Study

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
D. S. Sankar ◽  
Usik Lee
Keyword(s):  
Newtonian Fluid ◽  
Pulsatile Flow ◽  
Nonlinear Models ◽  
Fluid Model ◽  
Plug Flow ◽  
Casson Fluid ◽  
Core Region ◽  
The Core ◽  
Casson Model ◽  
Two Fluid

The pulsatile flow of blood through catheterized arteries is analyzed by treating the blood as a two-fluid model with the suspension of all the erythrocytes in the core region as a non-Newtonian fluid and the plasma in the peripheral layer as a Newtonian fluid. The non-Newtonian fluid in the core region of the artery is represented by (i) Casson fluid and (ii) Herschel-Bulkley fluid. The expressions for the flow quantities obtained by Sankar (2008) for the two-fluid Casson model and Sankar and Lee (2008) for the two-fluid Herschel-Bulkley model are used to get the data for comparison. It is noted that the plug-flow velocity, velocity distribution, and flow rate of the two-fluid H-B model are considerably higher than those of the two-fluid Casson model for a given set of values of the parameters. Further, it is found that the wall shear stress and longitudinal impedance are significantly lower for the two-fluid H-B model than those of the two-fluid Casson model.

Performance of Nano-Casson Fluid on Convective Flow Past a Permeable Stretching Sheet: Thermophoresis and Brownian Motion Effects

2021 ◽  
Vol 10 (3) ◽  
pp. 372-379
Author(s):  
P. Sreedivya ◽  
Y. Sunitha Rani ◽  
R. Srinivasa Raju
Keyword(s):  
Brownian Motion ◽  
Fluid Model ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Program Code ◽  
And Brownian Motion ◽  
Casson Fluid Model ◽  
Fifth Order ◽  
Normal Difference

The paramount importance of the current study has to deliberate nanoparticles for the Casson fluid model supposing Thermophoresis and Brownian motion associates Runge-Kutta fifth-order technique is applied to reduce the elements of non-linear regular difference calculations. Nondimensional physical parameters have appeared after utilization of correspondence alterations among with the design of connected normal difference omputations, where govern the performance of Nano-Casson fluid. Joined calculations are then attempted mathematically, also then the physical behaviour of individually element is exposed explicitly. Numerical consequences for Nusselt and Sherwood numbers through various engineering linked parameters are presented in tabular forms. Finally, program code validation is discussed. Where identified the velocity profiles are decreasing function of Casson fluid and Magnetic field parameters. Temperature is found as an advanced function for the effects of Brownian motion and Thermophoresis limitations. Also, the consequences show that growing of stretching limitation mains to a growth in the velocity distribution and Skin-friction coefficient, while a decrease in the temperature distribution and Nusselt number coefficient. A growth of the Thermophoresis parameter leads to increased nanoparticle volume concentration distribution and the Sherwood number coefficient.

scholarly journals Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110316
Author(s):  
Salman Akhtar ◽  
Luthais B McCash ◽  
Sohail Nadeem ◽  
Salman Saleem ◽  
Alibek Issakhov
Keyword(s):  
Blood Flow ◽  
Flow Problem ◽  
Fluid Model ◽  
Casson Fluid ◽  
Viscous Effects ◽  
Heating Effects ◽  
Casson Fluid Model ◽  
Flow Through ◽  
Mathematical Equations ◽  
Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

A Complete Solution for Thermal-Elastohydrodynamic Lubrication of Line Contacts Using Circular Non-Newtonian Fluid Model

1992 ◽  
Vol 114 (3) ◽  
pp. 540-551 ◽  
Author(s):  
Hsing-Sen S. Hsiao ◽  
Bernard J. Hamrock
Keyword(s):  
Boundary Conditions ◽  
Newtonian Fluid ◽  
Energy Equation ◽  
Control Volume ◽  
Fluid Model ◽  
Complete Solution ◽  
Circular Model ◽  
Line Contacts ◽  
Stress Boundary Conditions ◽  
Stress Boundary

A complete solution is obtained for elastohydrodynamically lubricated conjunctions in line contacts considering the effects of temperature and the non-Newtonian characteristics of lubricants with limiting shear strength. The complete fast approach is used to solve the thermal Reynolds equation by using the complete circular non-Newtonian fluid model and considering both velocity and stress boundary conditions. The reason and the occasion to incorporate stress boundary conditions for the circular model are discussed. A conservative form of the energy equation is developed by using the finite control volume approach. Analytical solutions for solid surface temperatures that consider two-dimensional heat flow within the solids are used. A straightforward finite difference method, successive over-relaxation by lines, is employed to solve the energy equation. Results of thermal effects on film shape, pressure profile, streamlines, and friction coefficient are presented.

Steady Magnetohydrodynamic Micropolar Casson Fluid of Brownian Motion Over a Solid Sphere with Thermophoretic and Buoyancy Forces: Numerical Analysis

2020 ◽  
Vol 9 (4) ◽  
pp. 336-345
Author(s):  
Silpi Hazarika ◽  
Sahin Ahmed
Keyword(s):  
Brownian Motion ◽  
Buoyancy Force ◽  
Power Plants ◽  
Thermal Flux ◽  
Solid Sphere ◽  
Casson Fluid ◽  
Similarity Solutions ◽  
Surface Drag ◽  
Adopted Model ◽  
The Impact

The impact of heat transfer in micropolar fluid may be developed due to its various promising applications in engineering, bio-medical sciences, geo-thermal progression, spherical storage tanks, nuclear power plants, automobile sectors etc. Motivated by such significance, the current study is to expound the influences of micropolar Casson fluid flow over a solid sphere with Brownian motion, thermophoretic force and buoyancy force surrounded by porous medium. The adopted model having complex PDE’s are reduced to dimensionless ODE’s by utilizing proper similarity solutions. A numerical approach have been carried out for velocity, micro rotation, temperature and concentration, the solutions are procured by Matlab Bvp4c code and plotted graphs for diverse involved parameters. An adequate result is acquired by an assessment with earlier available work. The effects of key parameters on surface drag coefficient, surface thermal flux and particles concentration flux are examined and displayed in tabular form. Grash of number raises the profiles of thermal flux and concentration flux where the buoyancy force is more dominant. Further, the obtained results indicate that the angular velocity is elevated near the surface of the sphere, and they behaves asymptotically far away from the surface due to the effect of micropolar parameter. Moreover, temperature and molar species concentration are enriched with upper values of micropolar factor. It is perceived that, augmented values of Casson parameter amplifies the velocity outline.

A comparative study of MHD fluid-particle suspension induced by metachronal wave under the effects of lubricated walls

2021 ◽  
pp. 2150204
Author(s):  
Mubbashar Nazeer ◽  
Farooq Hussain ◽  
Laiba Shabbir ◽  
Adila Saleem ◽  
M. Ijaz Khan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Magnetic Fields ◽  
Multiphase Flow ◽  
Thermal Radiation ◽  
Newtonian Fluid ◽  
Closed Form Solution ◽  
Casson Fluid ◽  
Form Solution ◽  
Phase Flow ◽  
Two Phase

In this paper, the two-phase flow of non-Newtonian fluid is investigated. The main source of the flow is metachronal waves which are caused by the back and forth motion of cilia attached to the opposite walls of the channel. Magnetohydrodynamics (MHD) of Casson fluid experience the effects of transverse magnetic fields incorporated with the slippery walls of the channel. Thermal effects are examined by taking Roseland’s approximation and application of thermal radiation into account. The heat transfer through the multiphase flow of non-Newtonian fluid is further, compared with Newtonian bi-phase flow. Since the main objective of the current study is to analyze heat transfer through an MHD multiphase flow of Casson fluid. The two-phase heated flow of non-Newtonian fluid is driven by cilia motion results in nonlinear and coupled differential equations which are transformed and subsequently, integrated subject to slip boundary conditions. A closed-form solution is eventually obtained form that effectively describes the flow dynamics of multiphase flow. A comprehensive parametric study is carried out which highlights the significant contribution of pertinent parameters of the heat transfer of Casson multiphase flow. It is inferred that lubricated walls and magnetic fields hamper the movement of multiphase flow. It is noted that a sufficient amount of additional thermal energy moves into the system, due to the Eckert number and Prandtl number. While thermal radiation acts differently by expunging the heat transfer. Moreover, Casson multiphase flow is a more suitable source of heat transfer than Newtonian multiphase flow.

Role of casson fluid on MHD natural convective flow towards vertically inclined plate with hall current

2018 ◽  
Author(s):  
D. V. V. Krishna Prasad ◽  
G. S. Krishna Chaitanya ◽  
R. Srinivasa Raju
Keyword(s):  
Convective Flow ◽  
Hall Current ◽  
Casson Fluid ◽  
Inclined Plate

A Solution of the Elastohydrodynamic Problem for Non-Newtonian Fluids

1975 ◽  
Vol 97 (2) ◽  
pp. 303-310 ◽  
Author(s):  
D. S. Kodnir ◽  
R. G. Salukvadze ◽  
D. L. Bakashvili ◽  
V. Sh. Schwartzman
Keyword(s):  
Approximate Solution ◽  
Tangential Stress ◽  
Newtonian Fluid ◽  
Stress Reduction ◽  
Fluid Model ◽  
Lubricant Film ◽  
Newtonian Viscosity ◽  
Thermal Problem ◽  
Tangential Stresses ◽  
Theological Properties

An approximate solution of the stationary isothermal elastohydrodynamic problem has been obtained for a Ree Eyring fluid model also the solution’s algorithm is described for a non Newtonian fluid of an arbitrary model. The solution has been obtained for the complex hydrodynamic and thermal problem for the lubricant film of a non Newtonian fluid with its specified thickness and with a relative surface slip. The diagrams have been made for velocities, temperatures, and tangential stresses in the lubricant film. The solution enables the direct estimation of the tangential stress reduction caused by the non Newtonian fluid’s behavior as well as by the nonisothermal process by means of known theological properties (Newtonian viscosity and time of relaxation) with selected values of pressure and temperature as well as with a given velocity of slip, and with the help of simple nomograms.

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