Effects of coagulation on the two-phase peristaltic pumping of magnetized Prandtl biofluid through an endoscopic annular geometry containing a porous medium

TLDR: In this paper, a mathematical model for elucidating the effects of coagulation (i.e., a blood clot) on peristaltically induced motion of an electricallyconducting (magnetized) Prandtl fluid physiological suspension through a non-uniform annulus containing a homogenous porous medium is developed.

About: This article is published in Chinese Journal of Physics.The article was published on 2019-02-14 and is currently open access. It has received 105 citations till now. The article focuses on the topics: Prandtl number & Hartmann number.

Figures

Fig. 2: Pressure rise for multiple values of m and (Dashed line: = 4; Solid line: = 3)

Fig. 6: Friction forces for multiple values of m and . [Dashed line: = 4; Solid line: = 3]

Fig. 7: Friction forces for multiple values of M and . [Dashed line: = 0:5; Solid line: = 0:1]

Fig. 1: Annular geometry of magnetic porous medium endoscopic model with coordinate system

Fig. 8: Friction forces for multiple values of k and C. [Dashed line: C = 0:1; Solid line: C = 0]

Fig. 9: Friction forces for multiple values of v0 and . [Dashed line: = 0:1; Solid line: = 0]

Frequently asked questions

Q1. What are the contributions mentioned in the paper "Effects of coagulation on the two-phase peristaltic pumping of magnetized prandtl biofluid through an endoscopic annular geometry containing a porous medium" ?

In this article, motivated by more accurate simulation of electromagnetic blood flow in annular vessel geometries in intravascular thrombosis, a mathematical model is developed for elucidating the effects of coagulation ( i. e. a blood clot ) on peristaltically induced motion of an electrically-conducting ( magnetized ) Hall current which generates a secondary ( cross ) flow at stronger magnetic field is also considered in the present study. The governing conservation equations which comprise the continuity and momentum equations for the fluid phase and particle phase are simplified under lubrication approximations ( long wavelength and creeping flow conditions ). The moving boundary value problem is normalized and solved analytically ( with appropriate wall conditions ) for the fluid phase and particle phase using the homotopy perturbation method ( HPM ) with MATHEMATICA software. A parametric study of the influence of clot height 

Q2. What are the future works mentioned in the paper "Effects of coagulation on the two-phase peristaltic pumping of magnetized prandtl biofluid through an endoscopic annular geometry containing a porous medium" ?

These will be considered in the future. 

Q3. What is the governing flow problem for both fluid and particle phases?

The governing flow problem for both fluid and particle phases is mapped from the moving frame to the stationary frame, simplified via lubrication theory, normalized via appropriate transformations and solved as a transformed ordinary differential boundary value problem with the homotopy perturbation method (HPM). 

Q4. What is the effect of suction on the annulus?

with suction at the wall (i.e. removal of Prandtl fluid from the annular region to the external space) the longitudinal (axial) flow will be impeded (deceleration) and pressure rise will also be reduced. 

Q5. What is the effect of a clot on the inner tube?

The presence of a clot (thrombosis, obstruction etc) generates greater resistance to the shearing (friction) forces especially for the inner tube and decreases values. 

Q6. What is the mechanism used for the internal transport of biological fluids?

Peristalsis [12] is a mechanism utilized for both internal transport of biological liquids and alsoexternal animal motion, that arises when smooth muscles in a living body or artificially engineered device contract and expand along the length of a conduit e.g. channel, tube. 

Q7. What is the role of magneto-fluid dynamic simulation in biomedical engineering?

In improving the performance of magnetic biomedical technology, magneto-fluid dynamic simulation plays a critical role since it is non-invasive and multiple scenarios can be studied relatively inexpensively. 

Q8. What is the role of a magnetically guided capsule endoscopy?

Magnetically Guided Capsule Endoscopy (MGCE) has also emerged as a promising new development in biomedical engineering in which is body‐exogenous magnetic fields are exploited to manipulate transport in various digestive tract and other physiological system diagnoses. 

Q9. What is the advantage of Maple quadrature?

Maple quadrature is of comparable accuracy to many other sophisticated semi-numerical methods including homotopy analysis methods (HAM), Adomian decomposition methods (ADM), spectral collocation Chebyschev polynomial methods and variational iterative methods (VIMs) which accurately compute series solution, although Maple quadrature is less algebraically rigorous and can be applied directly for all types of differential and integral equations, linear or nonlinear, homogeneous or inhomogeneous, with constant coefficients or with variable coefficients. 

Q10. How can the general mathematical model be reduced to the Newtonian case?

The general mathematical model developed can be reduced to the Newtonian, electricallynon-conducting case (as considered in previous studies) by considering 1, 0. = = andM = 0 (vanishing Lorentz magnetic body force)viii. 

Q11. What is the effect of the Ohmic (Joule) dissipation and?

The authors further note that in the present analysis, Ohmic (Joule) dissipation and magnetic induction effects are negated i.e. the magnetic field is not distorted by fluid vorticity owing to sufficiently low magnetic Reynolds numbers in the regime, although this can be addressed in future studies. 

Q12. What is the effect of wall injection on the inner tube?

Friction force for the outer tube increases with wall injection ( 0v >0) and reduces with wall suction( 0v <0) whereas the contrary response is computed for the friction force on the inner tube i.e. a reduction is induced with wall injection whereas an elevation is caused with wall suction. 

Q13. What is the effect of the presence of a clot on the flow?

This follows logically since thepresence of a clot adds a significant impedance to the flow and strongly alters vorticity in the vicinity of the clot. 

Q14. What is the importance of a robust mathematical model for peristaltic pumping?

To optimize such magnetohydrodynamic medical devices, it is important to continuously develop robust mathematical multi-physical magnetohydrodynamic peristaltic pumping models. 

Q15. What is the inverse relationship between the rheological parameter and the dynamic viscos?

The Prandtl first rheological parameter, = A/0C/ is inversely proportional to dynamic viscosity for constant values of the other parameters.