Mathematical modelling on peristaltic motion and temperature distribution of dusty Jeffrey fluid under the influence of variable viscosity

References

• Akbar, N. S., and Z. H. Khan. 2014. “Heat Transfer Analysis of the Peristaltic Instinct of Biviscosity Fluid with the Impact of Thermal and Velocity Slips.” International Communications in Heat and Mass Transfer 58: 193–199. doi:10.1016/j.icheatmasstransfer.2014.08.036.
   Web of Science ®Google Scholar
• Ali, Aamir, Y. Ali, D.N. Khan Marwat, M. Awais, and Z. Shah. 2019a. “Peristaltic Flow of a Nanofluid in a Deformable Channel with Double Diffusion.” SN Applied Sciences 2: 1–10. doi:10.1007/s42452-019-1867-4.
   Web of Science ®Google Scholar
• Ali, Aamir, S. Asghar, and M. Awais. 2017. “Thermophoresis and Concentration Effects in a Fourth Grade Peristaltic Flow with Convection Walls.” Journal of Central South University 24: 1654–1662. doi:10.1007/s11771-017-3571-0.
   Web of Science ®Google Scholar
• Ali, Aamir, M. Awais, A. Ai-Zubaidi, S. Saleem, and D. N. Khan Marwat. 2022a. “Hartmann Boundary Layer in Peristaltic Flow for Viscoelastic Fluid: Existence.” Ain Shams Engineering Journal 13: 101555. doi:10.1016/j.asej.2021.08.001.
   Web of Science ®Google Scholar
• Ali, Aamir, Sana Mumraiz, Hafiz Junaid Anjum, Saleem Asghar, and Muhammad Awais. 2021a. “Slippage Phenomenon in Hydromagnetic Peristaltic Rheology with Hall Current and Viscous Dissipation.” International Journal of Nonlinear Sciences and Numerical Simulation 23: 1–25. doi:10.1515/ijnsns-2019-0226.
   Web of Science ®Google Scholar
• Ali, Aamir, Mehak Sajid, Hafiz Junaid Anjum, Muhammad Awais, Kottakkaran Sooppy Nisar, and C. Ahamed Saleel. 2022b. “Entropy Generation Analysis of Peristaltic Flow of Nanomaterial in a Rotating Medium Through Generalized Complaint Walls of Micro-Channel with Radiation and Heat Flux Effects.” Micromachines 13: 1–24. doi:10.3390/mi13030375.
   Web of Science ®Google Scholar
• Ali, Aamir, S. Saleem, Sana Mumraiz, Anber Saleem, M. Awais, and D. N. Khan Marwat. 2021b. “Investigation of TiO2-Cu/H2O Hybrid Nanofluid with Slip Conditions in MHD Peristaltic Flow of Jeffrey Material.” Journal of Thermal Analysis and Calorimetry 143: 1985–1996. doi:10.1007/s10973-020-09648-1.
   Web of Science ®Google Scholar
• Ali, Aamir, Zahir Shah, S. Mumraiz, Poom Kumam, and M. Awais. 2019b. “Entropy Generation on MHD Peristaltic Flow of Cu-Water Nanofluid with Slip Conditions.” Heat Transfer – Asian Research 48: 1–19. doi:10.1002/htj.21346.
   Web of Science ®Google Scholar
• Anjum, H. J., and A. Ali. 2022. “Quantifying Particle Adhesion to the Ureteral Walls During Peristaltic Flow.” Physical Review E 105: 024406. doi:10.1103/PhysRevE.105.024406.
   PubMed Web of Science ®Google Scholar
• Ashraf, Muhammad, Amir Abbas, Aamir Ali, Zahir Shah, Hussam Alrabaiah, and Ebenezer Bonyah. 2020. “Numerical Simulation of the Combined Effects of Thermophoretic Motion and Variable Thermal Conductivity on Free Convection Heat Transfer.” AIP Advances 10: 085005(1-8). doi:10.1063/5.0018674.
   Web of Science ®Google Scholar
• Awais, M., U. Bukhari, A. Ali, and H. Yasmin. 2017. “Convective and Peristaltic Viscous Flow with Variable Viscosity.” Journal of Engineering Thermophysics 26: 69–78. doi:10.1134/S1810232817010088.
   Web of Science ®Google Scholar
• Awais, M., Poom Kumam, Nabeela Parveen, Aamir Ali, Zahir Shah, and Phatiphat Thounthong. 2020. “Slip and Hall Effects on Peristaltic Rheology of Copper-Water Nanomaterial Through Generalized Complaint Walls with Variable Viscosity.” Frontiers in Physics 7: 1–11. doi:10.3389/fphy.2019.00249.
   Web of Science ®Google Scholar
• Awais, M., Zahir Shah, N. Perveen, Aamir Ali, Poom Kumam, Habib ur Rehman, and Phatiphat Thounthong. 2020a. “MHD Effects on Ciliary-Induced Peristaltic Flow Coatings with Rheological Hybrid Nanofluid.” Coatings (MDPI) 10: 1–30. doi:10.3390/coatings10020186.
   Web of Science ®Google Scholar
• Bhatti, M. M., and A. Zeeshan. 2016. “Analytical Study of Heat Transfer with Variable Viscosity on Solid Particle Motion in Dusty Jeffrey Fluid.” Modern Physics Letters B 13: 1–13. doi:10.1142/S0217984916501967.
   Google Scholar
• Bhatti, M. M., A. Zeeshan, O. Anwar Beg, and A. Kadir. 2017. “Mathematical Modelling on Nonlinear Thermal Radiation Effects on EMHD Peristaltic Pumping of Visco-Elastic Dusty Fluid Through a Porous Medium.” International Journal of Engineering Science and Technology 20: 1129–1139. doi:10.1016/j.jestch.2016.11.003.
   Web of Science ®Google Scholar
• Eldabe, N.T., Kawther A. Kamel, Galila M. Abd-Allah, and Shaima F. Ramadan. 2013. “Peristaltic Motion with Heat and Mass Transfer of a Dusty Fluid Through a Horizontal Porous Channel Under the Effect of Wall Properties.” International Journal of Recent Research and Applied Studies 15: 300–311.
   Google Scholar
• Fung, Y. C., and C. S. Yih. 1968. “Peristaltic Transport.” Journal of Applied Mechanics 35: 669–675. doi:10.1115/1.3601290.
   Web of Science ®Google Scholar
• Gnaneswara Reddy, M., K. Venugopal Reddy, and O. D. Makinde. 2016. “Heat Transfer on MHD Peristaltic Rotating Flow of a Jeffrey Fluid in an Asymmetric Channel.” International Journal of Applied Computational Mathematics 12: 1–27. doi:10.1007/s40819-016-0293-1.
   Google Scholar
• Hasona, W. M. 2020. “Temperature-Dependent Electrical Conductivity and Thermal Radiation Effects on MHD Peristaltic Motion of Williamson Nanofluids in a Tapered Asymmetric Channel.” Journal of Mechanics 36: 103–118. doi:10.1017/jmech.2019.23.
   Web of Science ®Google Scholar
• Hasona, W. M., N. H. Almalki, A. A. El-Shekhipy, and M. G. Ibrahim. 2020. “Combined Effects of Variable Thermal Conductivity and Electrical Conductivity on Peristaltic Flow of Pseudoplastic Nanofluid in an Inclined non-Uniform Asymmetric Channel: Applications to Solar Collectors.” Journal of Thermal Science and Engineering Applications 12: 021018. doi:10.1115/1.4044404.
   Web of Science ®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. doi:10.1016/j.ijheatmasstransfer.2018.05.087.
   Web of Science ®Google Scholar
• Hasona, Wahed M., Abdelhafeez Shekhipy, and M. G. Ibrahim. 2019. “Semi-analytical Solution to MHD Peristaltic Flow of a Jeffrey Fluid in Presence of Joule Heat Effect by Using Multi-Step Differential Transform Method.” New Trends in Mathematical Science 2: 123–137. doi:10.20852/ntmsci.2019.351.
   Google Scholar
• Hayat, Tasawar, Maryam Shafique, Anum Tanveer, and Ahmed Alsaedi. 2016. “Radiative Peristaltic Flow of Jeffrey Nanofluid with Slip Conditions and Joule Heating.” Plos One 11: 1–11. doi:10.1371/journal.pone.0148002.
   Web of Science ®Google Scholar
• Hung, Tin-Kan, and Thomas D. Brown. 1976. “Solid-particle Motion in Two-Dimensional Peristaltic Flows.” Journal of Fluid Mechanics 73: 77–96. doi:10.1017/S0022112076001262.
   Web of Science ®Google Scholar
• Ibrahim, M. G. 2022. “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. doi:10.1016/j.icheatmasstransfer.2022.105987.
   Web of Science ®Google Scholar
• Ibrahim, M. G., W. M. Hasona, and A. A. El-Shekhipy. 2019. “Concentration-dependent Viscosity and Thermal Radiation Effects on MHD Peristaltic Motion of Synovial Nanofluid: Applications to Rheumatoid Arthritis Treatment.” Computer Methods and Programs in Biomedicine 170: 39–52. doi:10.1016/j.cmpb.2019.01.001.
   PubMed Web of Science ®Google Scholar
• Ibrahim, M. G., W. M. Hasona, and A. A. El-Shekhipy. 2020. “Instantaneous Influences of Thermal Radiation and Magnetic Field on Peristaltic Transport of Jeffrey Nanofluids in a Tapered Asymmetric Channel: Radiotherapy of Oncology Treatment.” Advances and Applications in Fluid Mechanics 24: 25–55. doi:10.17654/FM024120025.
   Google Scholar
• Ijaz, S., H. Sadaf, and Z. Iqbal. 2019. “Remarkable Role of Nanoscale Particles and Viscosity Variation in Blood Flow Through Overlapped Atherosclerotic Channel: A Useful Application in Drug Delivery.” Arabian Journal for Science and Engineering 44: 6241–6252. doi:10.1007/s13369-019-03779-w.
   Web of Science ®Google Scholar
• Kalantari, Alireza, Kayvan Sadeghy, and Soheil Sadeqi. 2013. “Peristaltic Flow of non-Newtonian Fluids Through Curved Channels: A Numerical Study.” Annual Transactions of the Nordia Rheology Society 21: 1–8.
   Google Scholar
• Kothandapani, M., and S. Srinivas. 2008. “Peristaltic Transport of a Jeffrey Fluid Under the Effect of Magnetic Field in an Asymmetric Channel.” International Journal of Non-Linear Mechanics 43: 915–924. doi:10.1016/j.ijnonlinmec.2008.06.009.
   Web of Science ®Google Scholar
• Laila, Roohi, Dil Nawaz Khan Marwat, Kamran Khan, Aamir Ali, and Zahir Shah. 2019. “Flow in a Two Dimensional Channel with Deforming and Peristaltically Moving Walls.” SN Applied Sciences 1: 1–13. doi:10.1007/s42452-018-0001-3.
   Web of Science ®Google Scholar
• Latham, T. W. 1966. “Fluid Motion in a Peristaltic Pump.” M.Sc. thesis, Massachusetts Institute of Technology.
   Google Scholar
• Mekheimer, K. S., and Y. Abd Elmaboud. 2008. “The Influence of Heat Transfer and Magnetic Field on Peristaltic Transport of a Newtonian Fluid in a Vertical Annulus: Application of an Endoscope.” Physics Letters A 372: 1657–1665. doi:10.1016/j.physleta.2007.10.028.
   Web of Science ®Google Scholar
• Mekheimer, K. S., Y. Abd Elmaboud, and A. I. Abdellateef. 2013. “Particulate Suspension Flow Induced by Sinusodial Peristaltic Waves Through Eccentric Cylinders: Thread Annular.” International Journal of Bio-Mathematics 6: 1–25. doi:10.1142/S1793524513500265.
   Google Scholar
• Mekheimer, K. S., and S. Mohammed. 2014. “Peristaltic Transport of a Pulsatile Flow for a Particle-Fluid Suspension Through a Annular Region: Application of a Clot Blood Model.” International Journal of Scientific and Engineering Research 5: 849–859.
   Google Scholar
• Nadeem, S., and Safia Akram. 2010. “Peristaltic Flow of a Jeffrey Fluid in a Rectangular Duct.” Nonlinear Analysis: Real World Applications 11: 4238–4247. doi:10.1016/j.nonrwa.2010.05.010.
   Web of Science ®Google Scholar
• Nadeem, S., and H. Sadaf. 2016. “Hypothetical Analysis for Peristaltic Transport of Metallic Nanoparticles in an Inclined Annulus with Variable Viscosity.” Bulletin of the Polish Academy of Sciences, Technical Sciences 64: 447–454. doi:10.1515/bpasts-2016-0050.
   Web of Science ®Google Scholar
• Parthasarathy, Siva, Govindarajan Arunachalam, and M. Vidhya. 2015. “Analysis on the Effects on Wall Properties on MHD Peristaltic Flow of a Dusty Fluid Through a Porous Medium.” International Journal of Pure and Applied Mathematics 102: 247–263. doi:10.12732/ijpam.v102i2.7.
   Google Scholar
• RadhaKrishnamacharya, G., and C. Sreenivasulu. 2007. “Influence of Wall Properties on Peristaltic Transport with Heat Transfer.” Comptes Rendus Mécanique 335: 369–373. doi:10.1016/j.crme.2007.05.002.
   Web of Science ®Google Scholar
• Rehman, M., S. Noreen, A. Haide, and H. Azam. 2015. “Effect of Heat Sink/Source on Peristaltic Flow of Jeffrey Fluid Through a Symmetric Channel.” Alexandria Engineering Journal 54: 733–743. doi:10.1016/j.aej.2015.03.011.
   Google Scholar
• Sadaf, Hina. 2019. “Bio-fluid Flow Analysis Based on Heat Transfer and Variable Viscosity.” Applied Mathematics and Mechanics 40: 1029–1040. doi:10.1007/s10483-019-2499-8.
   Google Scholar
• Sadaf, Hina, Adnan Kiani, and Nazir Ahmad Mir. 2020. “Mixed Convection Analysis of Cilia-Driven Flow of a Jeffrey Fluid in a Vertical Tube.” Canadian Journal of Physics 98: 1–8. doi:10.1139/cjp-2018-0753.
   Web of Science ®Google Scholar
• Shapiro, A. H., M. Y. Jaffrin, and S. L. Weinberg. 1969. “Peristaltic Pumping with Long Wavelength at Low Reynolds Number.” Journal of Fluid Mechanics 37: 799–825. doi:10.1017/S0022112069000899.
   Web of Science ®Google Scholar
• Sheriff, Samreen, Hina Sadaf, Noreen Sher Akbar, and N. A. Mir. 2019. “Slip Analysis with Thermally Developed Peristaltic Motion of Nanoparticles Under the Influence of Variable Viscosity in Vertical Configuration.” The European Physical Journal Plus 134: 1–22. doi:10.1140/epjp/i2019-12286-x.
   Web of Science ®Google Scholar
• Subba Reddy, M. V., A. Ramachandra Rao, and S. Sreenadh. 2007. “Peristaltic Motion of a Power-law Fluid in an Asymmetric Channel.” International Journal of Non-Linear Mechanics 42: 1153–1161. doi:10.1016/j.ijnonlinmec.2007.08.003.
   Web of Science ®Google Scholar
• Suryanarayana Reddy, M., G. Sankar Shekar Raju, M. V. Subba Reddy, and K. Jayalakshmi. 2011. “Peristaltic Transport of a Jeffrey Fluid Through a Porous Medium in an Inclined Tube Under the Effect of a Magnetic Field.” International Journal of Applied Mathematics and Physics 3: 89–101.
   Google Scholar
• Tripathi, D., and O. Anwar Beg. 2012. “A Study of Unsteady Physiological Magneto-Fluid Flow and Heat Transfer Through a Finite Length Channel by Peristaltic Pumping.” Journal of Engineering in Medicine 226: 631–644. doi:10.1177/0954411912449946.
   Google Scholar
• Verma, Vineet Kumar, and Sunil Datta. 2010. “Magnetohydrodynamic Flow in a Channel with Varying Viscosity Under Transverse Magnetic Field.” Advances in Theoretical and Applied Mechanics 3: 53–66.
   Google Scholar
• Vinod Kumar, P., Y. V. K. Ravi Kumar, and Shahnaz Bathul. 2014. “Unsteady Peristaltic Pumping of a Jeffrey Fluid in a Finite Length Tube with Permeable Wall.” International Journal of Engineering Research and Technology 3: 1212–1216. doi:10.17577/IJERTV3IS05142610.17577/IJERTV3IS051426.
   Google Scholar
• Yahya, G. A., M. F. Sanaa, and A. M. Abd-Alla. 2015. “Effects of an Endoscope and Rotation on Peristaltic Flow in a Tube with Long Wavelength.” International Journal of Scientific and Engineering Research 6: 864–876.
   Google Scholar