Peristaltic transport of two-layered blood flow using Herschel–Bulkley Model

In this paper, the peristaltic wave propagation of a Non-Newtonian Casson liquid in a non-uniform (flexible)channel with wall properties and heat transfer is analyzed. Long wavelength and low Reynolds number approximations are considered. Analytical solution for velocity, stream function and temperature in terms of various physical parameters is obtained. The impact of yield stress, elasticity, slip and non-uniformity parameters on the peristaltic flow of Casson liquidare observed through graphs and discussed. The important outcome is that an increase in rigidity, stiffness and viscous damping force of the wall results in the enhancement of the size and number of bolus formed in the flow pattern.

show abstract

“…The closed form solution for equation (21) using the boundary conditions (15), (17) and (22) can be obtained as…”

Section: Solution Of the Problemmentioning

confidence: 99%

Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

Devaki¹,

Sreenadh²,

Vajravelu

et al. 2018

Applied Mathematics and Nonlinear Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…Latham's 1 first investigation on peristalsis has led to its use in the modern‐day technology of heart‐lung machines, dialysis machines, finger, and roller pumps. The concept of peristalsis has been studied and researched by many researchers concerning various fluids and geometries 2‐5 . Of late, a lot of emphases have been given to the heat transfer characteristics of the peristaltic transport, because heat transfer has well‐known technological applications in elucidating energy losses in multiple thermal systems, geothermal, cooling of modern electronic computer systems, and vitality systems.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Srivastava and Srivastava [3] introduced the peristaltic motion of blood as a Casson model. Rajashekhar et al [4] introduced a Herschel-Bulkley fluid which moved peristaltically in a tube. Ali et al [5] studied the flow of Maxwell fluid which moves peristaltically in elastic channel.…”

Section: Introductionmentioning

confidence: 99%

Combined effects of space porosity and wall properties on a compressible maxwell fluid with MHD peristalsis

et al. 2020

View full text Add to dashboard Cite

In this research, the peristaltic motion of viscous Maxwell fluid is analyzed during its flow in a porous medium in axisymmetric tube with complaint wall to which a fixed magnetic field is applied. A perturbation technique was used to solve the governing equations of this problem with small "amplitude ratio." The net flow rate is calculated and discussed graphically under various physical parameters. It was found that the magnetic parameter, permeability parameter of porous medium, slip effect, wall properties, relaxation time, and the compressibility of the fluid have a significant impact on the net flow rate and the reversal flow.

show abstract

Peristaltic transport of two-layered blood flow using Herschel–Bulkley Model

Cited by 51 publications

References 23 publications

Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

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

Combined effects of space porosity and wall properties on a compressible maxwell fluid with MHD peristalsis

Contact Info

Product

Resources

About