The numerical calculations for the creeping flow of MHD Pseudoplastic nanofluid in a mixed uniform and non-uniform channel: physiological applications

References

• Abdelsalam, S. I., J. X. Velasco-Hern´andez, and A. Z. Zaher. 2021. “Electro-magnetically Modulated Self-Propulsion of Swimming Sperms via Cervical Canal.” Biomechanics and Modeling in Mechanobiology 20 (3): 861–878. https://doi.org/10.1007/s10237-020-01407-3.
   PubMed Web of Science ®Google Scholar
• Abderrahmane, A., O. Younis, H. S. Majdi, K. Guedri, W. Jamshed, S. S. Mohamed, R. Marzouki, and S. Baghaei. 2022. “Exploration of Ostwald-de Waele non-Newtonian Nanofluid Subject to Lorentz Force, and Entropy Optimization in a Corrugated Porous Medium Enclosure: Galerkin Finite Element Analysis.” Journal of Magnetism and Magnetic Materials 562: 169834. https://doi.org/10.1016/j.jmmm.2022.169834.
   Web of Science ®Google Scholar
• Abouzeid, M., and M. A. A. Mohamed. 2017. “Homotopy Perturbation Method for Creeping Flow of Non-Newtonian Power-Law Nanofluid in a Nonuniform Inclined Channel with Peristalsis.” Zeitschrift fur Naturforschung 72: 899–907.
   Google Scholar
• Asfour, H. A., and M. G. Ibrahim. 2023. “Numerical Simulations and Shear Stress Behavioral for Electro-Osmotic Blood Flow of Magneto Sutterby Nanofluid with Modified Darcy’s Law.” Thermal Science and Engineering Progress 37 (1): 101599. https://doi.org/10.1016/j.tsep.2022.101599.
   Google Scholar
• Bird, R. B., W. E. Stewart, and N. E. Lightfoot. 1960. Transport Phenomena. Singapore: Wiley.
   Google Scholar
• Chwang, A. T., and T. T. Wu. 1975. “Hydromechanics of low-Reynolds-Number Flow. Part 2. Singularity Method for Stokes Flows.” Journal of Fluid Mechanics 67 (4): 787–815. https://doi.org/10.1017/S0022112075000614.
   Google Scholar
• David, B. D. 2009. Living at Micro Scale. Cambridge, MA: Harvard University Press.
   Google Scholar
• Hasona, W. M., A. A. El-Shekhipy, and M. G. Ibrahim. 2018. “Combined Effects of Magnetohydrodynamic and Temperature Dependent Viscosity on Peristaltic Flow of Jeffrey Nanofluid Through a Porous Medium: Applications to oil Refinement.” International Journal of Heat and Mass Transfer 126: 700–714. https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.087.
   Web of Science ®Google Scholar
• Hayat, T., S. I. Shah, B. Ahmad, and M. Mustafa. 2014. “Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel.” Applied Bionics and Biomechanics 11: 1–14.
   Web of Science ®Google Scholar
• Hussain, A., and N. Farooq. 2023. “Gyrotactic Micro-Organisms Swimming Under the Hyperbolic Tangent Blood Nano Material and Solar Biomimetic System Over the Esophagus.” International Communications in Heat and Mass Transfer 141: 106579. https://doi.org/10.1016/j.icheatmasstransfer.2022.106579.
   Web of Science ®Google Scholar
• Ibrahim, M. G. 2022a. “Adaptive Simulations to Pressure Distribution for Creeping Motion of Carreau Nanofluid with Variable Fluid Density Effects: Physiological Applications.” Thermal Science and Engineering Progress 32 (1): 101337. https://doi.org/10.1016/j.tsep.2022.101337.
   Google Scholar
• Ibrahim, M. G. 2022b. “Numerical Simulation for non-Constant Parameters Effects on Blood Flow of Carreau–Yasuda Nanofluid Flooded in Gyrotactic Microorganisms: Dtm-Pade Application.” Archive of Applied Mechanics 92 (2022): 1643–1654. https://doi.org/10.1007/s00419-022-02158-6.
   Google Scholar
• Ibrahim, M. G. 2022c. “Concentration-dependent Viscosity Effect on Magnetonano Peristaltic Flow of Powell-Eyring Fluid in a Divergent-Convergent Channel.” International Communications in Heat and Mass Transfer 134: 105987. https://doi.org/10.1016/j.icheatmasstransfer.2022.105987.
   Web of Science ®Google Scholar
• Ibrahim, M. G. 2022d. “Computational Calculations for Temperature and Concentration-Dependent Density Effects on Creeping Motion of Carreau Fluid: Biological Applications.” Waves in Random and Complex Media 32: 1–15.
   Google Scholar
• Ibrahim, M. G., and M. Abouzeid. 2022. “Influence of Variable Velocity Slip Condition and Activation Energy on MHD Peristaltic Flow of Prandtl Nanofluid Through a non-Uniform Channel.” Scientific Reports 12 (1), 18747: 1–12.
   Web of Science ®Google Scholar
• Javid, K., M. Ellahi, K. Al-Khaled, M. Raza, S. U. Khan, M. I. Khan, E. R. El-Zahar, S. Gouadria, M. Afzaal, and M. I. Khan. 2022. “EMHD Creeping Rheology of Nanofluid Through a Micro-Channel via Ciliated Propulsion Under Porosity and Thermal Effects.” Case Studies in Thermal Engineering 30: 101746. https://doi.org/10.1016/j.csite.2021.101746.
   Web of Science ®Google Scholar
• Malek, J., and K. R. Rajagopal. 2005. “Mathematical Issues Concerning the Navier–Stokes Equations and Some of Its Generalizations, in Evolutionary Equations.” Handbook of Differential Equations 2: 1–91. Elsevier 2005.
   Google Scholar
• Noreen, S., T. Kausar, and D. Tripathic. 2020. “Heat Transfer Analysis on Creeping Flow Carreau Fluid Driven by Peristaltic Pumping in an Inclined Asymmetric Channel.” Thermal Science and Engineering Progress 17: 100486. https://doi.org/10.1016/j.tsep.2020.100486.
   Google Scholar
• Reddy, M. G., and O. D. Makinde. 2016. “Magnetohydrodynamic Peristaltic Transport of Jeffrey Nanofluid in an Asymmetric Channel.” Journal of Molecular Liquids 223: 1242–1248. https://doi.org/10.1016/j.molliq.2016.09.080.
   Web of Science ®Google Scholar
• Saleem, M., and A. Haider. 2014. “Heat and Mass Transfer on the Peristaltic Transport of non-Newtonian Fluid with Creeping Flow.” International Journal of Heat and Mass Transfer 68: 514–526. https://doi.org/10.1016/j.ijheatmasstransfer.2013.09.053.
   Web of Science ®Google Scholar
• Santhosh, N., and R. Sivaraj. 2023. “Comparative Heat Transfer Performance of Hydromagnetic Mixed Convective Flow of Cobalt-Water and Cobalt-Kerosene Ferro-Nanofluids in a Porous Rectangular Cavity with Shape Effects.” The European Physical Journal Plus 138: 240. https://doi.org/10.1140/epjp/s13360-023-03837-1.
   Web of Science ®Google Scholar
• Santhosh, N., R. Sivaraj, V. Ramachandra, O. Anwar Bég, Ho-Hon Leung, F. Kamalov, and S. Kuharat. 2023. “Computational Study of MHD Mixed Convective Flow of Cu/Al2O3-Water Nanofluid in a Porous Rectangular Cavity with Slits, Viscous Heating, Joule Dissipation and Heat Source/Sink Effects.” Waves in Random and Complex Media 2168786: 1–36.
   Google Scholar
• Thirumalaisamy, K., V. Ramachandran, V. Ramachandra, O. Anwar Bég, H. Leung, F. Kamalov, and R. Panneer Selvam. 2022. “Comparative Heat Transfer Analysis of Electroconductive Fe3O4–MWCNT– Water and Fe3O4–MWCNT– Kerosene Hybrid Nanofluids in a Square Porous Cavity Using the non-Fourier Heat Flux Model.” Physics of Fluids 34 (12). https://doi.org/10.1063/5.0127463
   Web of Science ®Google Scholar
• Thirumalaisamy, K., and S. Sivaraj Ramachandran. 2023. “Comparative Heat Transfer Analysis on Fe3O4–H2O and Fe3O4–Cu–H2O Flow Inside a Tilted Square Porous Cavity with Shape Effects.” Physics of Fluids 35 (2): 022007. https://doi.org/10.1063/5.0136326
   Web of Science ®Google Scholar
• Vajravelu, K., K. V. Prasad, P. S. Datti, and B. T. Raju. 2014. “MHD Flow and Heat Transfer of an Ostwald–de Waele Fluid Over an Unsteady Stretching Surface.” Ain Shams Engineering Journal 5 (1): 157–167. https://doi.org/10.1016/j.asej.2013.07.009
   Google Scholar
• Vijayalakshmi, P., and R. Sivaraj. 2023. “Heat Transfer Analysis on Micropolar Alumina–Silica–Water Nanofluid Flow in an Inclined Square Cavity with Inclined Magnetic Field and Radiation Effect.” Journal of Thermal Analysis and Calorimetry 148 (2): 473–488. https://doi.org/10.1007/s10973-022-11758-x
   Web of Science ®Google Scholar
• Wang, H., N. Yao, B. Wang, T. Shih, and X. Wang. 2022. “Homogeneous Venturi-Effect Concentrators for Creeping Flows: Magnifying Flow Velocities and Heat Fluxes Simultaneously.” Applied Thermal Engineering 206, 118012: 118–131. https://doi.org/10.1016/j.applthermaleng.2021.118012.
   Web of Science ®Google Scholar