Analytical Study of Soret and Dufour effect in the Electro-osmotic peristaltic flow of Rabinowitsch fluid model

Hasen, Saba S.; Abdulhadi, Ahmed M.

doi:10.30526/34.2.2629

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…The wavy walls in electro-kinetic flow are also believed to aid in mass transfer during medical procedures. Hasen and Abdulhadi [32] discussed the Soret and Dufour effect in the analytical study of electro-osmotic peristaltic flow using the Rabinowitsch fluid model. Noreen et al, [33] analyzed peristaltic pumping electroosmotic flow for heat transfer in non-Darcy porous media.…”

Section: Introductionmentioning

confidence: 99%

Peristalsis of Fractional Second Grade Fluid in the Presence of Electro Osmotic Phenomenon with Heat and Mass Transfer

Mahadev Madivalappa Channakote,

Dilipkumar Vilasrao Kalse,

Asha Shivappa Kotnurkar

et al. 2024

ARFMTS

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MRI method is used in magnetic resonance imaging (MRI) to diagnose brain disorders by detecting the changing conditions within the brain. Peristaltic waves created on the flexible walls of the brain cause particles to move, and understanding this fluid flow can benefit the treatment of malignant tissues. In light of this, the electro-osmotic impact on the peristaltic flow of a fractional second grade fluid (ionic solution) in a microchannel with a heat and mass transfer is investigated. The governing equations of the modulated problem can be solved analytically by assuming a low Reynolds number (Re → 0) and a long wavelength (δ << 1). An analysis of the Poisson-Boltzmann equation is considered to examine the electro-kinetic mechanism. Using the Mathematica program, we solved a set of dimensionless equations and displayed the generated graphs. We analyzed relevant factors for their impacts on temperature, velocity, and pressure gradient. Biomedical engineers may find inspiration to create bio-microfluidic devices that aid in the movement of physiological fluids based on the model and its related findings.

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Section: Introductionmentioning

confidence: 99%

Peristalsis of Fractional Second Grade Fluid in the Presence of Electro Osmotic Phenomenon with Heat and Mass Transfer

Mahadev Madivalappa Channakote,

Dilipkumar Vilasrao Kalse,

Asha Shivappa Kotnurkar

et al. 2024

ARFMTS

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“…Also, they assumed that viscosity is variable. In 2021, Hasen and Abdulhadi (2021) investigated electro-osmotic peristaltic transport combined with mass and heat transfer with Joule electrothermal heating through a small channel filled with Rabinowitsch fluid analytically. They take constant viscosity.…”

Section: Introductionmentioning

confidence: 99%

An approach for computational blood flow under the joint effects of the electro-osmotic, magnetic field, chemical reaction and porosity

Al-Griffi,

Ali Al-Saif

2023

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PurposeThe purpose of this study is to analyze the two-dimensional blood flow in the artery slant from the axis at an angle with mild stenosis under the joint effects of the electro-osmotic, magnetic field, chemical reaction and porosity using a new analytical method. In addition, the mathematical model presented by the researchers Tripathi and Sharma (2018c) was successfully developed by adding the effect of electro-osmosis and studying the impact of the new addition in the developed model on blood flow.Design/methodology/approachA new analytical method was used to find the analytical approximate solutions of two-dimensional blood flow in artery slant from the axis at an angle with mild stenosis. This technique is based on integrating the Akbari-Ganji and the homotopy perturbation methods.FindingsThe results of axial velocity, concentration, temperature and the wall shear stress for blood flow were analyzed in the cases of the absence and presence of electro-osmosis. Furthermore, in these two states of electro-osmosis, a contour plot was created to show the difference in the profile of velocity to the flow of blood when the magnetic field was increased and the altitude of stenosis was increased. The results showed that the new technique is effective and has high accuracy to determine the analytical approximate solutions of two-dimensional blood flow in artery slant from the axis at an angle with mild stenosis. The validity, utility and necessity of the new method were illustrated from the graphs of the new solutions; in addition, there is an excellent agreement with the results of previous studies.Originality/valueThis paper focuses on developing the mathematical model which was presented by the researchers Tripathi and Sharma (2018c), by adding the effect of the electro-osmosis to it, which has been successfully developed. According to the authors’ modest information, the new system has not been studied before. This current problem is solved by using an innovative approach known as the Akbari-Ganji homotopy perturbation method (AGHPM) which has not been used before in two cases: the presence and absence of the effect of electro-osmosis. This new technique afford new with effective and has high accuracy results. Furthermore, the new study (i.e. adding effect of electro-osmosis) with the applications of (variable viscosity, magnetic field, chemical reaction and porosity) illustrated the importance of applying electro-osmosis and how doctors can benefit from it during surgeries through proper use.

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“…The observed behavior exhibits a distinct transition, wherein the material undergoes a transformation from a solid state to a fluid state, contingent upon the magnitude of the shear stress experienced at a given location [44]. The effect of magnetic force and nonlinear thermal radiation for peristaltic transport of hybrid bio-nanofluid with the porous medium in a symmetric channel [45]. A computational study was performed to investigate the slip and no-slip possibilities for the flow of a Bingham fluid in a spiral tube with a circular cross-section [46].…”

Section: Introductionmentioning

confidence: 99%

The Influence of the Magnetic Domain on The Peristaltic Motion of The Non-Newtonian Fluid in A Curved Tube

2023

Advances in the Theory of Nonlinear Analysis and Its Application

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The peristaltic pump of a fluid which is of non-Newtonian type over a curved tube is the main focus of this study. The mathematical formulation of the problem is presented. A small Reynolds number (Re) and a large wavelength (δ) are used to simplify the calculation of the problem. The final expression of the stream function is found by applying the perturbation procedure for different values k, we derive a numerical solution to the nonlinear differential equation. An extensive review of the influence of various physics parameters, such that Hartman number, non-Newtonian fluid number and many others, in two cases, small and large values of the curvature value k, on the axial velocity profile, the pressure rise, the pressure gradient, and the streamlines. This discussion is supported by the inclusion of pictures and illustrations.

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Analytical Study of Soret and Dufour effect in the Electro-osmotic peristaltic flow of Rabinowitsch fluid model

Cited by 3 publications

References 31 publications

Peristalsis of Fractional Second Grade Fluid in the Presence of Electro Osmotic Phenomenon with Heat and Mass Transfer

Peristalsis of Fractional Second Grade Fluid in the Presence of Electro Osmotic Phenomenon with Heat and Mass Transfer

An approach for computational blood flow under the joint effects of the electro-osmotic, magnetic field, chemical reaction and porosity

The Influence of the Magnetic Domain on The Peristaltic Motion of The Non-Newtonian Fluid in A Curved Tube

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