Pulsatile flow of Casson’s fluid through stenosed arteries with applications to blood flow

Chaturani, P.; Samy, Rp

doi:10.3233/bir-1986-23506

Cited by 154 publications

(60 citation statements)

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“…Numerous researchers have utilized viscoplastic models [18][19][20][21][22] to more accurately mimic realistically the dynamics of blood flow and also food bolus movement in digestive system. The Casson model has proved to be quite advantageous in this regard as it is relatively simple but provides comparatively accurate representation of the shear-stress strain characteristics of actual biological liquids.…”

Section: Introductionmentioning

confidence: 99%

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

et al. 2016

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A theoretical investigation of magnetohydrodynamic (MHD) flow and heat transfer of electrically-conducting viscoplastic fluids through a channel is conducted. The robust Casson model is implemented to simulate viscoplastic behavior of fluids. The external magnetic field is oblique to the fluid flow direction. Viscous dissipation effects are included. The flow is controlled by the metachronal wave propagation generated by cilia beating on the inner walls of the channel. The mathematical formulation is based on deformation in longitudinal and transverse velocity components induced by the ciliary beating phenomenon with cilia assumed to follow elliptic trajectories. The model also features velocity and thermal slip boundary conditions. Closed-form solutions to the non-dimensional boundary value problem are obtained under physiological limitations of low Reynolds number and large wavelength. The influence of key hydrodynamic and thermo-physical parameters i.e. Hartmann (magnetic) number, Casson (viscoplastic) fluid parameter, thermal slip parameter and velocity slip parameter on flow characteristics are investigated. A comparative study is also made with Newtonian fluids (corresponding to massive values of plastic viscosity). Stream lines are plotted to visualize trapping phenomenon. The computations reveal that velocity increases with increasing the magnitude of Hartmann number near the channel walls whereas in the core flow region (centre of the channel) significant deceleration is observed. Temperature is elevated with greater Casson parameter, Hartmann number, velocity slip, eccentricity parameter, thermal slip and also Brinkmann (dissipation) number. Furthermore greater Casson parameter is found to elevate the quantity and size of the trapped bolus. In the pumping region, the pressure rise is reduced with greater Hartmann number, velocity slip, and wave number whereas it is enhanced with greater cilia length.

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Section: Introductionmentioning

confidence: 99%

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

et al. 2016

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“…Although the effect of sheardependent viscosity and also the effect of fluid's elasticity have already been investigated in constricted channels under pulsatile conditions [14][15][16][17][18][19][20][21][22] , there appears to be no published work addressing pulsatile flow of fluids having time-dependent viscosity, i.e., thixotropic fluids. This is quite surprising realizing the fact that such fluids (i.e., fluids for which viscosity decreases by the progress of time, even at a constant shear rate) are quite common in the real world.…”

Section: Most Industrial Fluids and Virtually All Physiological Fluidsmentioning

confidence: 99%

Pulsatile Flow of Thixotropic Fluids through a Partially-Constricted Tube

Nezamidoost

Sadeghy

Askari

2013

J. Soc. Rheol., Jpn

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Pulsatile flow of thixotropic fluids is investigated numerically in a partially-constricted tube assuming that the fluid obeys Moore's structural model as is constitutive equation. Assuming that the flow is laminar, incompressible, two-dimensional and axisymmetric, the equations of motion are simplified using lubrication theory. The simplified equations are then solved numerically using the finite difference method. A suitable coordinate transformation is used to immobilize the boundary of the tube. The effect of the structure breakdown/reformation parameters is investigated on the velocity field and wall shear stress distribution. The importance of the geometrical parameters of the constriction is also investigated on the flow characteristics.

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“…The length of the artery is assumed to be large enough as compared to its radius so that at the entrance and exit sections, special wall effects can be neglected. It has been reported that the radial velocity is negligibly small for a low Reynolds number flow in a narrow artery with stenosis [31].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

Sinha

Shit

Kundu

2013

ISRN Biomedical Engineering

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A theoretical investigation concerning the influence of externally imposed periodic body acceleration on the flow of blood through a time-dependent stenosed arterial segment by taking into account the slip velocity at the wall of the artery has been carried out. A mathematical model is developed by treating blood as a non-Newtonian fluid obeying the Casson fluid model. The pulsatile flow is analyzed by considering a periodic pressure gradient and the inertial effects as negligibly small. A suitable generalized geometry for time-dependent stenosis is taken into account. Perturbation method is used to solve the coupled implicit system of nonlinear differential equations that govern the flow of blood. Analytical expressions for the velocity profile, volumetric flow rate, and wall shear stress are obtained. A thorough quantitative analysis has been made through numerical computations of the variables involved in the analysis that are of special interest in this study. The computational results are presented graphically. The results for different values of the parameters involved in the problem under consideration presented here show that the flow is appreciably influenced by slip velocity in the presence of periodic body acceleration.

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Pulsatile flow of Casson’s fluid through stenosed arteries with applications to blood flow

Cited by 154 publications

References 0 publications

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

Pulsatile Flow of Thixotropic Fluids through a Partially-Constricted Tube

Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

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