Rotation and Magnetic Force Effects on Peristaltic Transport of Non -Newtonian Fluid in a Symmetric Channel

Authors

  • Amaal Mohi Nassief Department of Mathematics, College of Science, University of Baghdad
  • Ahmed M.Abdulhadi Department of Mathematics, College of Science, University of Baghdad

DOI:

https://doi.org/10.30526/36.2.3066

Keywords:

Adomain decomposition technique, Peristaltic transport, Magnetic force, Symmetric channel, Rotation frame

Abstract

In this paper, the impact of magnetic force, rotation, and nonlinear heat radiation on the peristaltic flow of a hybrid bio -nanofluids through a symmetric channel are investigated. Under the assumption of a low Reynolds number and a long wavelength, the exact solution of the expression for stream function, velocity, heat transfer coefficient, induced magnetic field, magnetic force, and temperature are obtained by using the Adomian decomposition method. The findings show that the magnetic force contours improve when the magnitude of the Hartmann number M is high and decreases when rotation increases. Lastly, the effects of essential parameters that appear in the problem are analyzed through a graph. Plotting all figures is done using the MATHEMATICA  software.

References

Zaman, A.; Ali, N.; Khan, A. A., Computational biomedical simulations of hybrid nanoparticles on unsteady blood hemodynamics in a stenotic artery. Mathematics and Computers in Simulation, 2020, 169, 117-132.

Changdar, S.; De, S. Investigation of nanoparticle as a drug carrier suspended in a blood flowing through an inclined multiple stenosed artery. Bionanoscience 2018, 8 (1), 166-178.

Chen, P. C.; Mwakwari, S. C.; Oyelere, A. K. Gold nanoparticles: from nanomedicine to nanosensing. Nanotechnology, science and applications, 2008, 1, 45.

Hummady, L. Z.; Abbas, I. T.; Mohammed, R. A. Inclined Magnetic Field of Non-uniform and Porous Medium Channel on Couple Stress Peristaltic Flow and application in medical treatment (Knee Arthritis). Journal of Southwest Jiaotong University, 2019, 54 (4).

Das, S.; Barman, B.; Jana, R. Influence of Hall and Ion-Slip Currents on Peristaltic Transport of Magneto-Nanofluid in an Asymmetric Channel. BioNanoScience, 2021, 11 (3), 720-738.

Zhang, L.; Bhatti, M. M.; Marin, M.; S. Mekheimer, K. Entropy analysis on the blood flow through anisotropically tapered arteries filled with magnetic zinc-oxide (ZnO) nanoparticles. Entropy, 2020, 22 (10), 1070.

Abbasi, F.; Gul, M.; Shehzad, S. Effectiveness of temperature-dependent properties of Au, Ag, Fe3O4, Cu nanoparticles in peristalsis of nanofluids. International Communications in Heat and Mass Transfer, 2020, 116, 104651.

Abo-Elkhair, R.; Bhatti, M.; Mekheimer, K. S. Magnetic force effects on peristaltic transport of hybrid bio-nanofluid (AuCu nanoparticles) with moderate Reynolds number: An expanding horizon. International Communications in Heat and Mass Transfer, 2021, 123, 105228.

Noreen, S.; Rashidi, M.; Qasim, M. Blood flow analysis with considering nanofluid effects in vertical channel. Applied Nanoscience, 2017, 7 (5), 193-199.

Tripathi, D.; Prakash, J.; Gnaneswara Reddy, M.; Kumar, R. Numerical study of electroosmosis-induced alterations in peristaltic pumping of couple stress hybrid nanofluids through microchannel. Indian Journal of Physics, 2021, 95 (11), 2411-2421.

Abd-Alla, A.; Mohamed, R.; Abo-Dahab, S.; Soliman, M. Rotation and initial stress effect on MHD peristaltic flow of reacting radiating fourth-grade nanofluid with viscous dissipation and Joule heating. Waves in Random and Complex Media, 2022, 1-35.

Abd-Alla, A.; Abo-Dahab, S.; El-Shahrany, H. Effects of rotation and initial stress on peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field. Journal of Magnetism and Magnetic Materials, 2014, 349, 268-280.

Salih, A. W. Influence Of Rotation, Variable Viscosity And Temperature On Peristaltic Transport In An Asymmetric Channel. Turkish Journal of Computer and Mathematics Education , 2021, 12 (6), 1047-1059.

Mohaisen, H. N.; Abedulhadi, A. M. Effects of the Rotation on the Mixed Convection Heat Transfer Analysis for the Peristaltic Transport of Viscoplastic Fluid in Asymmetric Channel. Iraqi Journal of Science, 2022, 1240-1257.

Mohaisen, H. N.; Abdalhadi, A. M. Influence of the Induced Magnetic and Rotation on Mixed Convection Heat Transfer for the Peristaltic Transport of Bingham plastic Fluid in an Asymmetric Channel. Iraqi Journal of Science, 2022, 1770-1785.

M. Abdulhadi, A.; Al-Hadad, A. H. Effects of rotation and MHD on the Nonlinear Peristaltic Flow of a Jeffery Fluid in an Asymmetric Channel through a Porous Medium. Iraqi Journal of Science, 2023, 57 (1A), 223-240.

Hayat, T.; Rafiq, M.; Ahmad, B. Influences of rotation and thermophoresis on MHD peristaltic transport of Jeffrey fluid with convective conditions and wall properties. Journal of Magnetism and Magnetic Materials, 2016, 410, 89-99.

Mjthap, H. Z.; Al-Azzawi, S. N. Mixing Sumudu transform and Adomain decomposition method for solving Riccati equation of variable fractional order. Journal of Interdisciplinary Mathematics, 2019, 22 (8), 1559-1563.

Tawfiq, L. N.; Hussein, N. A. Efficient Approach for Solving (2+ 1) D-Differential Equations. Baghdad Science Journal, 2022, 0166-0166.

Wazwaz, A.-M., Adomian decomposition method for a reliable treatment of the Bratu-type equations. Applied Mathematics and Computation, 2005, 166 (3), 652-663.

Bhatti, S.; Zahid, M.; Ali, R.; Sarwar, A.; Wahab, H. A. Blade coating analysis of a viscoelastic Carreau fluid using Adomian decomposition method. Mathematics and Computers in Simulation, 2021, 190, 659-677.

Shit, G.;Ranjit, N.; Sinha, A. Adomian decomposition method for magnetohydrodynamic flow of blood induced by peristaltic waves. Journal of Mechanics in Medicine and Biology, 2017, 17 (01), 1750007.

Kareem, Z. H.; Tawfiq, L. N. M. Recent Modification of Decomposition Method for Solving Nonlinear Partial Differential Equations. Journal of Advances in mathematics, 2020, 18, 154-161.

Seikh, A. H.; Akinshilo, A.; Taheri, M.; Rahimi-Gorji, M.; Alharthi, N.; Khan, I.; Khan, A. R. Influence of the nanoparticles and uniform magnetic field on the slip blood flows in arterial vessels. Physica Scripta, 2019, 94 (12), 125218.

Akram, J.; Akbar, N. S.; Tripathi, D. Blood-based graphene oxide nanofluid flow through capillary in the presence of electromagnetic fields: A Sutterby fluid model. Microvascular Research 2020, 132, 104062.

Raza, M.; Ellahi, R.; Sait, S. M.; Sarafraz, M.; Shadloo, M. S.; Waheed, I. Enhancement of heat transfer in peristaltic flow in a permeable channel under induced magnetic field using different CNTs. Journal of Thermal Analysis and Calorimetry, 2020, 140 (3), 1277-1291.

Mekheimer, K. S.; Saleem, N.; Hayat, T.; Hendi, A. Simultaneous effects of induced magnetic field and heat and mass transfer on the peristaltic motion of second‐order fluid in a channel. International journal for numerical methods in fluids, 2012, 70 (3), 342-358.

Kareem, R. S.; Abdulhadi, A. M. Effect of MHD and Porous Media on Nanofluid Flow with Heat Transfer: Numerical Treatment. Journal of advanced research in fluid mechanics and thermal science, 2019, 63 (2), 317-328.

Downloads

Published

20-Apr-2023

Issue

Section

Mathematics

Publication Dates