Influence of heat transfer on MHD Carreau fluid flow due to motile cilia in a channel

Maqbool, Khadija; Manzoor, Naeema; Ellahi, R.; Sait, Sadiq M.

doi:10.1007/s10973-020-10476-6

Cited by 30 publications

(9 citation statements)

References 39 publications

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“…where m σB0 e0 is the Hall parameter. The Carreau model quantitatively appears as [23][24][25][26][27][28]:…”

Section: Mathematical Structurementioning

confidence: 99%

“…Recently, Asha and Belery [24] solved the problem of the peristaltic pumping of Carreau fluid in the presence of Joule's heating by employing a multi-step DTM, and their results showed that the Grashof number reduces the velocity in half of the channel and increases in the other half, while temperature distribution is enhanced by heat absorption factor and the Brickman number. Further work on Carreau fluid can be found in [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hall currents and EDL effects on multiphase wavy flow of Carreau fluid in a microchannel having oscillating walls: A numerical study

Alqarni

Riaz²,

Firdous³

et al. 2022

Front. Phys.

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In this analysis, the authors reveal the effects of electro-osmosis on the multiphase flow of Carreau fluid in a microchannel in the presence of Hall currents and solid particles. Moreover, the compliant channel walls are subject to oscillation occurring at the surface. To investigate the problem quantitatively, mathematical models for fluid phase and particulate phase have been structured. A lubrication approach is adopted due to laminar flow and the small dimensions of the channel. To produce the data, a system of differential equations is produced with the help of a numerical process performed on Mathematica through a built-in NDSolve tool. The results are presented graphically to examine the effects of various physical factors on the flow quantities. From pictorial discussion, it is gathered that the Helmholtz–Smoluchowski velocity parameter and the presence of an increasing amount of solid particles increasing the heat exchange while producing electro-kinetic energy. It is also found that velocity is a direct function of solid particles and compliant walls, but an inverse link is seen in the presence of electro-kinetic energy. Such studies can be employed with microfluidic devices and \may also be productive in medical and mechanical research.

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“…where m σB0 e0 is the Hall parameter. The Carreau model quantitatively appears as [23][24][25][26][27][28]:…”

Section: Mathematical Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hall currents and EDL effects on multiphase wavy flow of Carreau fluid in a microchannel having oscillating walls: A numerical study

Alqarni

Riaz²,

Firdous³

et al. 2022

Front. Phys.

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“…Gauger et al 6 had incorporated the concept of artificial cilia to analyze the flow characteristics at a negligible Reynolds number with MHD effects. Many researchers have formulated novel mathematical models that incorporate cilia driven flow 7 – 12 .…”

Section: Introductionmentioning

confidence: 99%

Physical aspects of electro osmotically interactive Cilia propulsion on symmetric plus asymmetric conduit flow of couple stress fluid with thermal radiation and heat transfer

Akbar,

Muhammad

2023

Sci Rep

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A novel mathematical analysis is established that summits the key features of Cilia propulsion for a non-Newtonian Couple Stress fluid with the electroosmosis and heat transfer. In such physiological models, the conduit may have a symmetric or asymmetric configuration in accordance with the biological problem. Being mindful of this fact, we have disclosed an integrated analysis on symmetric in addition to asymmetric conduits that incorporates major physiological applications. The creeping flow inference is reviewed to model this realistic problem and exact solutions are computed for both the conduit cases. Graphical illustrations are unveiled to highlight the physical aspects of cilia propulsion on symmetric in addition to asymmetric conduit and an inclusive comparison study is conveyed. The flow profile attains higher values for an asymmetric conduit in relation to the symmetric. Likewise, the pressure rise and pressure gradient also score high for asymmetric conduit in relation to the symmetric conduit. A visual representation of flow inside symmetric as well as asymmetric conduit is provided by streamline graphs and temperature profile as well.

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“…Hayat et al 25 introduced the entropy generation analysis of CFF. Maqbool et al 26 tested HT upon MHD CFF in a two-dimensional (2D) channel, while Riaz and Abbas 27 did it in a three-dimensional (3D) channel.…”

Section: Introductionmentioning

confidence: 99%

Effectiveness of Nonuniform Heat Generation (Sink) and Thermal Characterization of a Carreau Fluid Flowing across a Nonlinear Elongating Cylinder: A Numerical Study

Hussain

Goud

Prakash³

et al. 2022

ACS Omega

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During thermal radiation treatments, heat therapies, and examination procedures like scans and X-rays, the cylindrical blood vessels may get stretched; meanwhile, the blood flow through those blood vessels may get affected due to temperature variations around them. To overcome this issue, this work was framed to explore the impact of heat transmission in a Carreau fluid flow (CFF) through a stretching cylinder in terms of the nonlinear stretching rate and irregular heat source/sink. Temperature-dependent thermal conductivity and thermal radiation are taken into consideration in this study. To tranform complicated partial differential equations into ordinary differential equations, appropriate similarity variables are used. For a limited set of instances, the derived series solutions are compared to previously published results. For linear and nonlinear stretching rates, graphs and tables are used to examine the influence of an irregular heat source/sink on fluid movement and heat transfer. The research outcomes demonstrate that the heat source and nonlinear stretching rate cause a disruption in the temperature distribution in the fluid region, which can alter the blood flow through the vessels. In all conditions except for the heat in an internal heat sink, the nonlinear stretching situation improves the velocity and heat profile. Furthermore, with the increase in the values of the Weissenberg number, the temperature profile shows opposing features in a shear-thickening fluid and shear-thinning fluid. For the former n > 1, the blood fluidity gets affected, restricting the free movement of blood. For the latter, n < 1, the phenomenon is reversed. Other industrial applications of this work are wire coating, plastic coverings, paper fabrication, fiber whirling, etc. In all of those processes, the fluid flow is manipulated by thermal conditions.

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Influence of heat transfer on MHD Carreau fluid flow due to motile cilia in a channel

Cited by 30 publications

References 39 publications

Hall currents and EDL effects on multiphase wavy flow of Carreau fluid in a microchannel having oscillating walls: A numerical study

Hall currents and EDL effects on multiphase wavy flow of Carreau fluid in a microchannel having oscillating walls: A numerical study

Physical aspects of electro osmotically interactive Cilia propulsion on symmetric plus asymmetric conduit flow of couple stress fluid with thermal radiation and heat transfer

Effectiveness of Nonuniform Heat Generation (Sink) and Thermal Characterization of a Carreau Fluid Flowing across a Nonlinear Elongating Cylinder: A Numerical Study

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