Peristaltic Flow of Casson Liquid in an Inclined Porous Tube With Convective Boundary Conditions and Variable Liquid Properties

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

doi:10.5098/hmt.11.35

Cited by 11 publications

(6 citation statements)

References 25 publications

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“…Vajravelu et al, [14] studied the influence of heat transmission on the peristaltic movement through the permeable annulus. Rajashekhar et al, [15] examined the peristaltic movement of Casson fluid in an inclined porous tube. It was seen that rising variable viscosity improves the velocity and the temperature of the liquid and enhances the bolus size.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer Analysis on Peristaltic Transport of Sisko Fluid in an Inclined Uniform Channel

Sanil

Manjunatha

Rajashekhar

et al. 2023

ARFMTS

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Peristaltic flow is a fundamental method of fluid conveyance in engineering, medicine, and the nuclear industry. The peristaltic mechanism is applied in designing blood pump machines, dialysis machines, and other medical devices. The current mathematical model is developed to investigate the peristaltic mechanism of Sisko fluid under the influence of heat transfer by considering variable viscosity, slip effects, variable thermal conductivity, and wall properties. Long wavelength and small Reynolds number approximations generate the nonlinear governing equations. The regular perturbation method is utilised to solve these equations. In contrast, the closed-form solution is obtained for the stream function for different values of the fluid behaviour index. The impact of several parameters on the relevant physiological factors is graphically represented using MATLAB. The results reveal that velocity and thermal slip parameters greatly impact heat transfer. The bolus volume grows as the velocity slip parameter increases. The coefficient of pseudo-plasticity plays a prominent role in the study for different values of fluid behaviour index.

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Section: Introductionmentioning

confidence: 99%

Heat Transfer Analysis on Peristaltic Transport of Sisko Fluid in an Inclined Uniform Channel

Sanil

Manjunatha

Rajashekhar

et al. 2023

ARFMTS

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“…Manjunatha et al, [15] have investigated the effect on Jeffrey liquid's MHD peristaltic process by varying transport properties and slip situations. Rajashekhar et al, [16] have analysed the effects on Casson liquid peristaltic transport in a convectively heated inclined porous tube by varying viscosity and thermal conductivity. Yusof et al, [17] have analysed the steady of stagnation point flow and radiative heat transfer of a non-Newtonian fluid which is Casson fluid passing over an exponentially permeable slippery Riga plate in presence of thermal radiation, magnetic field, velocity slip, thermal slip, and viscous dissipation effects.…”

Section: Introductionmentioning

confidence: 99%

Core Variation of a Non-Newtonian Fluid in an Annular Cylinder

Pai

2023

ARFMTS

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The objective of the paper is to investigate the variation of core thickness of a non-Newtonian fluid in an annular cylinder at the entrance region. It is derived numerically, with no prior assumptions on the form of the Velocity profile. The thickness of the core is examined at each cross section of annuli for various values of Bingham number and aspect ratio by applying mass balance equation. The effect of various parameters on the flow rate are obtained graphically. The examination incorporates Bingham plastic fluids, Casson and Herschel-Bulkley fluid. The administering equations are solved using an iterative procedure by converting non-linear algebraic equation, expressing the variation in pressure in terms of core thickness obtained using the mass balance equation and plug core velocities along the boundary layers. The core thickness is obtained numerically by solving this equation using an iterative procedure. MATLAB programming tool has been employed to get the graphical variation of core thickness for different values of aspect ratio. The comparisons have been made between the obtained results and the results of Casson and Herschel-Bulkley fluids. Also, we find excellent agreement between our numerical results and the results available in literature.

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“…Certain models could not describe the blood flow in a very narrow artery where the yield stress is high and shear rate is low. However, the Herschel-Bulkley model containing an additional parameter of power-law index can explain the different blood physiological behaviours [2]. Chaturani et al [9] stated that blood behaves like Herschel-Bulkley model rather than Power Law and Bingham models for a tube with 0.095 mm diameter.…”

Section: Introductionmentioning

confidence: 99%

Solute Dispersion in an Unsteady Herschel-Bulkley Flow through an Inclined Stenosed Arter

Intan Diyana Munir,

Nurul Aini Jaafar,

Sharidan Shafie

2023

ARNHT

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Motivated by the concept of blood flow in a stenosed artery, this present research investigates the influence of stenosis shape in terms of height and arterial inclination on the blood flow and solute dispersion behaviour through an inclined stenosed artery. The blood rheology is depicted using the Herschel-Bulkley model in a laminar, axisymmetric and incompressible unsteady flow through the stenosed artery. The effect of stenosis is focused on the stenosis height for both sine and cosine stenosis. Parameters of arterial inclination are also investigated to observe the effect of inclination on the blood velocity and dispersion function. Perturbation method is adopted in solving for the blood flow velocity under the effect of stenosis height and arterial inclination. The dispersion function of solute dispersion is solved using the obtained blood velocity by adopting the Generalized Dispersion Model (GDM) in obtaining steady dispersion functions. This present study shows that the increase in stenosis height decreases both blood velocity and dispersion function. Meanwhile, the increase in arterial inclination increases the blood velocity and dispersion function. The effect of stenosis height also affects blood velocity and dispersion function for the sine stenosis more than the cosine stenosis.

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Peristaltic Flow of Casson Liquid in an Inclined Porous Tube With Convective Boundary Conditions and Variable Liquid Properties

Cited by 11 publications

References 25 publications

Heat Transfer Analysis on Peristaltic Transport of Sisko Fluid in an Inclined Uniform Channel

Heat Transfer Analysis on Peristaltic Transport of Sisko Fluid in an Inclined Uniform Channel

Core Variation of a Non-Newtonian Fluid in an Annular Cylinder

Solute Dispersion in an Unsteady Herschel-Bulkley Flow through an Inclined Stenosed Arter

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