Scientific breakdown for physiological blood flow inside a tube with multi-thrombosis

AbstractThe blood flow inside a tube with multi-thromboses is mathematically investigated. The existence of these multiple thromboses restricts the blood flow in this tube and the flow is revamped by using a catheter. This non-Newtonian blood flow problem is modeled for Jeffrey fluid. The energy equation includes a notable effect of viscous dissipation. We have calculated an exact solution for the developed mathematical governing equations. These mathematical equations are solved directly by using Mathematica software. The graphical outcomes are added to discuss the results in detail. The multiple thromboses with increasing heights are evident in streamline graphs. The sinusoidally advancing wave revealed in the wall shear stress graphs consists of crest and trough with varying amplitude. The existence of multi-thrombosis in this tube is the reason for this distinct amplitude of crest and trough. Further, the viscous dissipation effects come out as a core reason for heat production instead of molecular conduction.

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

Science Progress ◽

10.1177/00368504211031693 ◽

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.

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Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating

International Journal of Biomathematics ◽

10.1142/s1793524521500716 ◽

2021 ◽

pp. 2150071

Author(s):

Anber Saleem ◽

Salman Akhtar ◽

Sohail Nadeem

Keyword(s):

Blood Flow ◽

Joule Heating ◽

Energy Equation ◽

Flow Problem ◽

Slip Boundary Conditions ◽

Governing Equations ◽

Ionic Solution ◽

Slip Boundary ◽

Heating Effects ◽

Stenosed Artery

This is the first paper that explains electro-osmotically modulated hemodynamic inside a stenosed artery, considering both cases of symmetric and nonsymmetric shapes of stenosis. Blood is treated as an aqueous ionic solution. The energy equation incorporates viscous dissipation as well as Joule heating effects. Exact solutions are calculated for governing equations subject to “no slip” boundary conditions. These solutions are further discussed through graphical results. The flow pattern for symmetric and nonsymmetric stenosis is visualized by plotting streamlines for this flow problem.

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Influence of mixed convection on blood flow of Jeffrey fluid through a tapered stenosed artery

Thermal Science ◽

10.2298/tsci111121144a ◽

2013 ◽

Vol 17 (2) ◽

pp. 533-546 ◽

Cited By ~ 3

Author(s):

Noreen Akbar ◽

T. Hayat ◽

S. Nadeem ◽

Awatif Hendi

Keyword(s):

Blood Flow ◽

Jeffrey Fluid ◽

Series Solutions ◽

Shearing Stress ◽

Governing Equations ◽

Cylindrical Coordinates ◽

Tapered Artery ◽

Stenosed Artery ◽

Impedance Wall ◽

Flow Through

Effect of heat and mass transfer on the blood flow through a tapered artery with stenosis is examined assuming blood as Jeffrey fluid. The governing equations have been modelled in cylindrical coordinates. Series solutions are constructed for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Attention has been mainly focused to the analysis of embedded parameters in converging, diverging and non-tapered situations.

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Effect of Viscous Dissipation on MHD Williamson Nanofluid Flow in a Porous Medium

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.c4861.098319 ◽

2019 ◽

Vol 8 (3) ◽

pp. 5795-5802 ◽

Cited By ~ 1

Keyword(s):

Porous Medium ◽

Steady State ◽

Numerical Solution ◽

Viscous Dissipation ◽

Flow Problem ◽

Numerical Study ◽

Steady State Flow ◽

Nanofluid Flow ◽

Shooting Technique ◽

Order Four

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.

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Effects of Viscous Dissipation and Radiation on MHD Natural Convection in Oblique Porous Cavity with Constant Heat Flux

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.2014.m765 ◽

2017 ◽

Vol 9 (2) ◽

pp. 463-484 ◽

Cited By ~ 6

Author(s):

Ammar I. Alsabery ◽

Habibis Saleh ◽

Ishak Hashim

Keyword(s):

Heat Flux ◽

Natural Convection ◽

Viscous Dissipation ◽

Inclination Angle ◽

Hartmann Number ◽

Constant Heat Flux ◽

Governing Equations ◽

Constant Heat ◽

Left Wall ◽

Porous Cavity

AbstractEffects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperatureTcand the left inclined wall has a constant heat fluxqwith lengthS, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0° ≤ω≤π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (–π/3≤ϕ≤π/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decrease with an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

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Performance of Blood Flow with Suspension of Nanoparticles Through Tapered Stenosed Artery for Jeferey Fluid Model

International Journal of Nanoscience ◽

10.1142/s0219581x18500047 ◽

2018 ◽

Vol 17 (06) ◽

pp. 1850004

Author(s):

Sapna Ratan Shah ◽

Rohit Kumar

Keyword(s):

Blood Flow ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Fluid Model ◽

Jeffrey Fluid ◽

Computational Results ◽

Coupled Equations ◽

Homotopy Perturbation ◽

Stenosed Artery ◽

Matlab Programming

This paper presents the effect of heat and mass transfer on the blood flow through a tapered stenosed artery assuming blood as a Jeffrey fluid model. The equations governing the blood flow are modeled in cylindrical coordinates. Analytical solutions are constructed for the velocity, temperature, concentration and flux by solving flow governing nonlinear coupled equations using Homotopy Perturbation Method. The important characteristics of blood flow such as concentration and temperature are found by using Homotopy Perturbation Method and these solutions are used to find exact solution for velocity profile. Variation in velocity, temperature, concentration and flux profiles for different values of thermophoresis and Brownian motion parameter are discussed. Homotopy Perturbation Method technique is used to calculate these expressions and Matlab programming is used to find computational results. And then computational results are presented graphically. The significance of the present model over the existing models has been pointed out by comparing the result with other theories both analytically and numerically. Here, in this paper, we have discussed some important phenomena raised in biotechnology and medicine at the nanoscale. So, this paper about nanoparticles behavior could be useful in the development of new diagnosis tools for many diseases in medical field, biotechnology as well as in medicine at the nanoscale.

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Passive Heat Transfer in Porous Enclosures Using a Two-Energy Equation Model

Volume 7: Fluids and Heat Transfer, Parts A, B, C, and D ◽

10.1115/imece2012-86936 ◽

2012 ◽

Author(s):

Marcelo J. S. deLemos ◽

Paulo H. S. Carvalho

Keyword(s):

Heat Transfer ◽

Energy Equation ◽

Equation Model ◽

Thermal Conductivity Ratio ◽

Governing Equations ◽

Flow And Heat Transfer ◽

Energy Models ◽

Different Temperatures ◽

Volume Method ◽

Generalized Coordinate

This paper presents computations for natural convection within a porous cavity filled with a fluid saturated permeable medium. The finite volume method in a generalized coordinate system is applied. The walls are maintained at constant but different temperatures, while the horizontal walls are kept insulated. Governing equations are written in terms of primitive variables and are recast into a general form. Flow and heat transfer characteristics are investigated for two energy models and distinct solid-to-fluid thermal conductivity ratio.

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Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

Thermal Science ◽

10.2298/tsci0901005s ◽

2009 ◽

Vol 13 (1) ◽

pp. 5-12 ◽

Cited By ~ 8

Author(s):

Pushkar Sharma ◽

Gurminder Singh

Keyword(s):

Stagnation Point ◽

Viscous Dissipation ◽

Ohmic Heating ◽

Mhd Flow ◽

Transverse Magnetic ◽

Skin Friction Coefficient ◽

Physical Parameters ◽

Governing Equations ◽

Shooting Technique ◽

Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

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Influence of Melting Heat Transfer in the Stagnation-Point Flow of a Jeffrey Fluid in the Presence of Viscous Dissipation

Journal of Applied Mechanics ◽

10.1115/1.4005560 ◽

2012 ◽

Vol 79 (2) ◽

Cited By ~ 23

Author(s):

M. Mustafa ◽

T. Hayat ◽

Awatif A. Hendi

Keyword(s):

Heat Transfer ◽

Stagnation Point ◽

Viscous Dissipation ◽

Melting Process ◽

Deborah Number ◽

Stagnation Point Flow ◽

Heat Transfer Analysis ◽

Jeffrey Fluid ◽

Melting Heat ◽

Melting Heat Transfer

This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.

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