scholarly journals Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Nehad Ali Shah ◽  
A. Al-Zubaidi ◽  
S. Saleem
Keyword(s):  
Blood Flow ◽  
Pressure Gradient ◽  
Cylindrical Tube ◽  
Transverse Magnetic ◽  
Inverse Laplace Transform ◽  
Pulsatile Pressure ◽  
Significant Difference ◽  
Flow Through ◽  
Mathcad Software ◽  
Pulsatile Pressure Gradient

The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. The solution of the governing equations is found using integral transformations (Laplace and finite Hankel transforms). For the semianalytical solution, the inverse Laplace transform is found by means of Stehfest’s and Tzou’s algorithms. The numerical calculations were performed by using Mathcad software. The flow is significantly affected by Hartmann number, inclination angle, fractional parameter, permeability parameter, and pulsatile pressure gradient frequency, according to the findings. It is deduced that there exists a significant difference in the velocity of the flow at higher time when the magnitude of Reynolds number is small and large.

NUMERICAL SIMULATION OF UNSTEADY TWO-LAYERED PULSATILE BLOOD FLOW IN A STENOSED FLEXIBLE ARTERY: EFFECT OF PERIPHERAL LAYER VISCOSITY

2005 ◽  
Vol 9 (2) ◽  
pp. 99-114 ◽  
Author(s):  
S. Chakravarty ◽  
P. K. Mandal ◽  
A. Mandal
Keyword(s):  
Blood Flow ◽  
Unsteady Flow ◽  
Pressure Gradient ◽  
Cylindrical Tube ◽  
Shear Stresses ◽  
Flow Mechanism ◽  
Moving Wall ◽  
Pulsatile Pressure ◽  
Pulsatile Pressure Gradient ◽  
Good Agreement

The present paper deals with a theoretical investigation of blood flow in an arterial segment in the presence of stenosis. The streaming blood is treated to be composed of two different layers ‐ the central core and the plasma. The former is considered to be non‐Newtonian liquid characterised by the Power law model, while the latter is chosen to be Newtonian. The artery is simulated as an elastic (moving wall) cylindrical tube. The unsteady flow mechanism of the present study is subjected to a pulsatile pressure gradient arising from the normal functioning of the heart. The time‐variant geometry of the stenosis has been accounted for in order to improve resemblance to the real situation. The unsteady flow mechanism, subjected to pulsatile pressure gradient, has been solved using finite difference scheme by exploiting the physically realistic prescribed conditions. An extensive quantitative analysis has been performed through numerical computations of the flow velocity, the flux, the resistive impedances and the wall shear stresses, together with their dependence with the time, the input pressure gradient and the severity of the stenosis, presented graphically at the end of the paper in order to illustrate the applicability of the model under consideration. Special emphasis has been made to compare the existing results with the present ones and found to have a good agreement. Straipsnyje nagrinejamas kraujo srauto tekejimas esant stenozei. Nagrinejamas dvisluoks‐nis kraujo tekejimas. Arterija modeliuojama kaip vamzdis su elastinemis sienelemis. Kraujo srauto nestacionaruma sukelia širdies veikla. Skaitinis sprendinys randamas baigtiniu skirtumu metodu. Atlikta kokybine skaitiniu sprendiniu analize iliustruojanti greičiu, srautu, sieneles itampu priklausomybe laike. Skaitiniai rezultatai pakankamai gerai patvirtina eksperimentinius duomenis.

Influence of streaming potential on pulsatile pressure-gradient driven flow through an annulus

2013 ◽  
Vol 34 (5) ◽  
pp. 691-699 ◽  
Author(s):  
Anish Shenoy ◽  
Jeevanjyoti Chakraborty ◽  
Suman Chakraborty
Keyword(s):  
Pressure Gradient ◽  
Streaming Potential ◽  
Pulsatile Pressure ◽  
Flow Through ◽  
Pulsatile Pressure Gradient

scholarly journals Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

Water ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 932
Author(s):  
Rodrigo González ◽  
Aldo Tamburrino ◽  
Andrea Vacca ◽  
Michele Iervolino
Keyword(s):  
Shear Stress ◽  
Analytical Solution ◽  
Wall Shear Stress ◽  
Pressure Gradient ◽  
Velocity Distribution ◽  
Momentum Equation ◽  
Parallel Plates ◽  
Analytical Computation ◽  
Pulsatile Pressure ◽  
Pulsatile Pressure Gradient

The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

BLOOD FLOW THROUGH A CIRCULAR PIPE WITH AN IMPULSIVE PRESSURE GRADIENT

2000 ◽  
Vol 10 (02) ◽  
pp. 187-202 ◽  
Author(s):  
GIUSEPPE PONTRELLI
Keyword(s):  
Blood Flow ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Unsteady Flow ◽  
Pressure Gradient ◽  
Collocation Method ◽  
Difference Method ◽  
Flow Through ◽  
Impulsive Pressure

The unsteady flow of a viscoelastic fluid in a straight, long, rigid pipe, driven by a suddenly imposed pressure gradient is studied. The used model is the Oldroyd-B fluid modified with the use of a nonconstant viscosity, which includes the effect of the shear-thinning of many fluids. The main application considered is in blood flow. Two coupled nonlinear equations are solved by a spectral collocation method in space and the implicit trapezoidal finite difference method in time. The presented results show the role of the non-Newtonian terms in unsteady phenomena.

Pulsatile blood flow through stenosed artery with axial translation

2015 ◽  
Vol 08 (03) ◽  
pp. 1550028 ◽  
Author(s):  
Mukesh Kumar Sharma ◽  
P. R. Sharma ◽  
Vinay Nasha
Keyword(s):  
Blood Flow ◽  
Pressure Gradient ◽  
Ritz Method ◽  
Numerical Data ◽  
Pulsatile Blood Flow ◽  
Axial Translation ◽  
Stenosed Artery ◽  
Flow Through ◽  
Heart Contraction ◽  
Fourier Harmonics

The study of pulsatile blood flow through axisymmetric stenosed artery subject to an axial translation has been attempted with hematocrit concentration-dependent blood viscosity. The heart contraction and subsequent relaxation generate periodic pressure gradient in blood flow and translation in the artery can be represented by Fourier series. Numerical data required for computing Fourier harmonics for the pressure gradient and acceleration in the artery has been simulated from pressure waveform graph and biplanar angiogram. Velocity field has been obtained by solving governing equation using variational Ritz method. The hemodynamic indicators WSS, AWSS, OSI, RRT are derived and computed numerically. The effects of thickness of stenosis, and hematocrit concentration index on these indicators are computed and analyzed through graphs.

scholarly journals Numerical simulation of pulsatile blood flow: a study with normal artery, and arteries with single and multiple stenosis

2021 ◽  
Vol 68 (1) ◽  
Author(s):  
Md. Alamgir Kabir ◽  
Md. Ferdous Alam ◽  
Md. Ashraf Uddin
Keyword(s):  
Blood Flow ◽  
Numerical Simulations ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Area Reduction ◽  
Significant Difference ◽  
Stenosed Artery ◽  
Fluid Properties ◽  
Flow Through

AbstractNumerical simulations of pulsatile transitional blood flow through symmetric stenosed arteries with different area reductions were performed to investigate the behavior of the blood. Simulations were carried out through Reynolds averaged Navier-Stokes equations and well-known k-ω model was used to evaluate the numerical simulations to assess the changes in velocity distribution, pressure drop, and wall shear stress in the stenosed artery, artery with single and double stenosis at different area reduction. This study found a significant difference in stated fluid properties among the three types of arteries. The fluid properties showed a peak in an occurrence at the stenosis for both in the artery with single and double stenosis. The magnitudes of stated fluid properties increase with the increase of the area reduction. Findings may enable risk assessment of patients with cardiovascular diseases and can play a significant role to find a solution to such types of diseases.

Modeling electro-magneto-hydrodynamic of blood flow in multi-stenosed artery using fractional deivatives without singular kernel

2020 ◽  
Author(s):  
F. J. Dzuliana ◽  
Uddin Salah ◽  
Roslan Rozaini ◽  
Md Akhir Mohd Kamalrulzaman
Keyword(s):  
Blood Flow ◽  
Pressure Gradient ◽  
Fractional Derivatives ◽  
Magnetic Particles ◽  
Circulatory System ◽  
Singular Kernel ◽  
Electric And Magnetic Fields ◽  
Stenosed Artery ◽  
Flow Through ◽  
Common Problems

Stenosis is one of the most common problems in blood flow through arteries. Stenosis means narrowing arteries. Among the various cardiovascular diseases, stenosis is a major one that affects blood flow in the arteries and becomes the leading cause of death worldwide. Therefore, several studies were conducted either experimentally or mathematically to understand stenosis effects on blood flow through arteries. This study investigates the Newtonian fluid’s electro-magneto-hydrodynamic flow mixed with uniformly distributed magnetic particles through a multi-stenosed artery. The fluid is acted by an arbitrary timedependent pressure gradient, external electric and magnetic fields, and the porous medium. The governing equations are considered as fractional partial differential equations based on the Caputo–Fabrizio time-fractional derivatives without singular kernel. The fractional model of blood flow in the multi-stenosed artery will be presented subject to several external factors. These include the severity of the stenosis and the magnetic particles with the presence of an electromagnetic field. The steady and unsteady parts of the pressure gradient that give rise to the systolic and diastolic pressures are considered as the pumping action of the heart, which in turn produces a pressure gradient throughout the human circulatory system. The fractionaloperator’s effect and pertinent system parameters on blood flow axial velocities are presented and discussed for future works.

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