The hemodynamics of variable liquid properties on the MHD peristaltic mechanism of Jeffrey fluid with heat and mass transfer

Divya, B.B.; Manjunatha, G.; Rajashekhar, C.; Vaidya, Hanumesh; Prasad, K. V.

doi:10.1016/j.aej.2020.01.038

Cited by 38 publications

(20 citation statements)

References 30 publications

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“…The analytical solution for velocity is obtained by using equations ( 15)-( 17) by taking into account the corresponding boundary conditions from equations (20) and (21). So, the solution takes the following form U = A 10 + A 11 P + A 12 P 2 + A 13…”

Section: Solution For Velocitymentioning

confidence: 99%

“…The use of biological and classical fluids is encouraged by the characteristics of both viscous and thermal variation. Divya et al 21 investigated the dynamics of viscous and thermal variation for the non-Newtonian Jeffery model by using a system of peristalsis. They concluded that an increase in the size of the bolus can be observed as the fluid flow accelerates due to a rise in the viscosity variation.…”

Section: Introductionmentioning

confidence: 99%

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Thermal analysis of blood flow of Newtonian, pseudo-plastic, and dilatant fluids through an inclined wavy channel due to metachronal wave of cilia

Al-Zubaidi

Nazeer

Khalid

et al. 2021

Advances in Mechanical Engineering

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This paper is organized to study the heat and mass transfer analyses by considering the motion of cilia for Newtonian, Pseudo-plastic, and Dilatant fluids through a horizontally inclined channel in the presence of metachronal waves and variable liquid properties. A non-Newtonian Rabinowitsch model is used to study the flow of peristalsis through ciliated walls. The slip and convective boundary conditions at the channel walls are taken into account. The mathematical model is developed in the form of complex nonlinear partial differential equations then transformed into simplified form by using the definition of low-Reynolds number with lubrication theory. The analytical solution is obtained by using the perturbation method due to its low computational cost and good accuracy. The graphical outcome is based on the behavior of certain physical parameters on velocity, temperature, and concentration profiles for all three types of fluid. A symbolic software named MATHEMATICA 12.0 is used to find the analytical expression and construct the graphical behavior of all profiles that are taken under discussion. The important results in this study depict that the velocity profile tends to increase in the central region of the channel for Newtonian and Pseudo-plastic fluids and decreases for Dilatant fluid while a reverse behavior is observed near the channel walls. A smaller wavelength causes the wavenumber to accelerate and it tends to decelerate for a larger wavelength. The current study will help to understand the use of the complex rheological behavior of biological fluids in engineering and medical science.

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Section: Solution For Velocitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal analysis of blood flow of Newtonian, pseudo-plastic, and dilatant fluids through an inclined wavy channel due to metachronal wave of cilia

Al-Zubaidi

Nazeer

Khalid

et al. 2021

Advances in Mechanical Engineering

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show abstract

“…However, along with variable viscosity, the variable thermal conductivity depends on temperature, also considered in recent research. The non‐Newtonian fluid models include an investigation to examine these variable parameters and are developed by researchers by using Jeffrey, 38 Bingham, 39–41 and Rabinowitsch 42 fluid models. The thermal conductivity and viscosity are considered as variables for the function of temperature.…”

Section: Introductionmentioning

confidence: 99%

Mass and heat transport impact on the peristaltic flow of a Ree–Eyring liquid through variable properties for hemodynamic flow

et al. 2021

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Variable properties play a prominent role in analyzing the blood flow in narrow arteries. Specifically, considering the variation of thermal conductivity and viscosity helps in the understanding of the rheological behavior of blood and other biological fluids, such as urine, spermatozoa, and eye drops. Inspired by these applications, the current study incorporates the impact of variable thermal conductivity and viscosity for modeling the peristaltic flow of a Ree–Eyring liquid through a uniform compliant channel. The governing equations are nondimensionalized with the assistance of similarity transformations. The long‐wavelength and small Reynolds wide variety approximation are utilized for solving the governing differential equations. Furthermore, the series solution method (perturbation technique) is utilized for solving the nonlinear temperature equation. The obtained results show that the velocity is greater in the case of the Newtonian liquid than that of the non‐Newtonian liquid.

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“…Hence, it is important to study the heat transfer characteristics to understand the complex behavior of blood. Inspired by this, many researchers have studied the peristaltic transport of several biological fluids by taking heat transfer into account in varying geometries and assumptions 6‐10 …”

Section: Introductionmentioning

confidence: 99%

Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow

et al. 2020

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This research examines the influence of homogeneous and heterogeneous chemical reactions on the peristaltic flow via an inclined permeable channel. The current investigation emphasizes on modeling the flow of blood in narrow arteries by taking convective and wall properties into account. The Ree‐Eyring non‐Newtonian model is used to govern the fluid flow due to its significance in understanding the behavior of dilatant, pseudoplastic, and viscous liquids. The variation in variable viscosity and thermal conductivity is considered for analyzing the complex rheological behavior of blood. The similarity transformations are used in the process of nondimensionalization. The series solution procedure is adopted to solve the governing nonlinear differential equations. The expressions for velocity, temperature, concentration, and trapped bolus are obtained. The computational results are analyzed with the help of graphs for shear thickening, shear thinning, and Newtonian fluid models. One of the significant findings of the current model is that an introduction of variable liquid properties improves the temperature and velocity profiles for Newtonian and pseudoplastic fluid models. Compared with the other theoretical models developed, the rheological and flow properties of various biological fluids can be derived from the model used in the present investigation.

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The hemodynamics of variable liquid properties on the MHD peristaltic mechanism of Jeffrey fluid with heat and mass transfer

Cited by 38 publications

References 30 publications

Thermal analysis of blood flow of Newtonian, pseudo-plastic, and dilatant fluids through an inclined wavy channel due to metachronal wave of cilia

Thermal analysis of blood flow of Newtonian, pseudo-plastic, and dilatant fluids through an inclined wavy channel due to metachronal wave of cilia

Mass and heat transport impact on the peristaltic flow of a Ree–Eyring liquid through variable properties for hemodynamic flow

Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow

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