Study of peristaltic transport of a dusty second-grade fluid in a curved configuration

Document Type : Article

Authors

1 Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan

2 Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

3 Department of Mathematics, Government Degree College, Asghar Mall, Rawalpindi, Pakistan

Abstract

This study attempts to analyze the effect of diverse parameters of the peristaltic flow of second grade dusty fluid through a curved configuration. Stream function conversions are used to model the separate system of equations for the dust particles and fluid. The Perturbation technique is used to get the analytical solutions and the results are verified through graphs. It is noticeable that the trapped bolus, compresses both the dust particles and fluid with an increase in `the second grade parameter'. Moreover, a surge in `the Reynolds number' Re effects the bolus trapped in the lower portion of the channel for fluid. Decrement in the velocity is observed with a rise in `the wave number' \delta and `the second grade parameter' \alpha_1.

Keywords

Main Subjects

References

References:
1. Shapiro, A.H., Jaffrin, M.Y., and Weinberg, S.L. "Peristaltic pumping with long wavelengths at low Reynolds number", Journal of Fluid Mechanics, 34(4), pp. 799-825 (1969).
2. Bhatti, M.M. and Abdelsalam, S.I. "Bio-inspired peristaltic propulsion of hybrid nano fluid flow with Tantalum (Ta) and Gold (Au) nanoparticles under magnetic effects", Waves in Random and Complex Media, pp. 1-26 (2021).
3. Bhatti, M.M., Zeeshan, A., Bashir, F., et al. "Sinusoidal motion of small particles through a Darcy- Brinkman-Forchheimer microchannel filled with non- Newtonian  fluid under electro-osmotic forces", Journal of Taibah University for Science, 15(1), pp. 514-529 (2021).
4. Ramadan, S.F., Mekheimer, K.S., Bhatti, M.M., et al. "Phan-Thien-Tanner nanofluid flow with gold nanoparticles through a stenotic electrokinetic aorta: a study on the cancer treatment", Heat Transfer Research, 52, pp. 87-99 (2021).
5. Prasanna Kumara, B.C. "Assessment of the local thermal non-equilibrium condition for nanofluid flow through porous media: A comparative analysis", Indian Journal of Physics, 96, pp. 2475-2483 (2022).
6. Prasannakumara, B.C. "Numerical simulation of heat transport in Maxwell nanofluid flow over a stretching sheet considering magnetic dipole effect", Partial Differential Equations in Applied Mathematics, 4, 100064 (2021).
7. Magesh, A. and Kothandapani, M. "Heat and mass transfer analysis on non-Newtonian fluid motion driven by peristaltic pumping in an asymmetric curved channel", The European Physical Journal Special Topics, 230(5), pp. 1447-1464 (2021).
8. Magesh, A. and Kothandapani, M. "Analysis of heat and mass transfer on the peristaltic movement of Carreau nanofluids", Journal of Mechanics in Medicine and Biology, 22(01), 2150068 (2022).
9. Tamizharasi, P., Vijayaragavan, R., and Magesh, A. "Heat and mass transfer analysis of the peristaltic driven flow of nanofluid in an asymmetric channel", Partial Differential Equations in Applied Mathematics, 4, 100087 (2021).
10. Magesh, A., Kothandapani, M., and Pushparaj, V. "Electro-osmatic  flow of Jeffrey  fluid in an asymmetric micro-channel under the effect of magnetic field", Journal of Physics: Conference Series, 1850, pp. 012102 (2021).
11. Magesh, A., Kumar, P.P., Tamizharasi, P., et al. "Effect of magnetic field on the peristaltic transport of Oldroyd-B fluid in an asymmetric inclined channel", Journal of Physics: Conference Series, 1850, p. 012111 (2021).
12. Ramesh, K. and Devakar, M. "Peristaltic transport of MHD Williamson fluid in an inclined asymmetric channel through porous medium with heat transfer", Journal of Central South University, 22(8), pp. 3189- 3201 (2015).
13. Katta, R. and Jayavel, P. "Heat transfer enhancement in radiative peristaltic propulsion of nanofluid in the presence of induced magnetic field", Numerical Heat Transfer, Part A: Applications, 79(2), pp. 83-110 (2020).
14. Ramesh, K., Gnaneswara Reddy, M., and Devakar, M. "Biomechanical study of magnetohydrodynamic Prandtl nanofluid in a physiological vessel with thermal radiation and chemical reaction", Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 232(4), pp. 95-108 (2018).
15. Ramesh, K. and Devakar, M. "Influence of heat transfer on the peristaltic transport of Walters B fluid in an inclined annulus", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(7), pp. 2571- 2584 (2017).
16. Shah, S., Hussain, S., Sagheer, M., et al. "Numerical study of three-dimensional mixed convective maxwell nanofluid flow over a stretching surface with nonlinear thermal radiation and convective boundary conditions", Journal of Nanofluids, 8(1), pp. 160-170 (2019).
17. Crooke, P.S. "On growth properties of solutions of the Saffman dusty gas model", Zeitschrift fur Angewandte Mathematik und Physik ZAMP, 23(2), pp. 182-200 (1972).
18. Charya, G.R. "Pulsatile flow of a dusty fluid through a constricted channel", Zeitschrift fur Angewandte Mathematik und Physik ZAMP, 29(2), pp. 217-225 (1978).
19. Srinivasa Charya, D. and Radha Krishnama Charya, G. "The effects of wall properties on peristaltic transport of a dusty fluid", Turkish Journal of Engineering and Environmental Sciences, 32(6), pp. 357-365 (2008).
20. Muthuraj, R., Nirmala, K., and Srinivas, S. "Influences of chemical reaction and wall properties on MHD peristaltic transport of a dusty fluid with heat and mass transfer", Alexandria Engineering Journal, 55(1), pp. 597-611 (2016).
21. Bhatti, M.M., Zeeshan, A., Ijaz, N., et al. "Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct", Engineering Science and Technology, an International Journal, 20(3), pp. 1129-1139 (2017).
22. Tariq, H., Khan, A.A., and Zaman, A. "Peristaltically wavy motion on dusty Walters B fluid with inclined magnetic field and heat transfer", Arabian Journal for Science and Engineering, 44(9), pp. 7799-7808 (2019).
23. Khan, A.A. and Tariq, H. "Influence of wall properties on the peristaltic flow of a dusty Walter's B fluid", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40(8), pp. 1-18 (2018).
24. Javed, M. and Hayat, T. "Effects of heat transfer on MHD peristaltic transport of dusty fluid in a flexible channel", International Bhurban Conference on Applied Sciences and Technology (IBCAST), pp. 539-550 (2017).
25. Ganesh Kumar, K., Gireesha, B.J., and Gorla, R.S.R. "Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field", International Journal of Mechanical and Materials Engineering, 13(1), pp. 1-11 (2018).
26. Gireesha, B.J., Mahanthesh, B., Thammanna, G.T., et al. "Hall effects on dusty nanofluid two-phase transient flow past a stretching sheet using KVL model", Journal of Molecular Liquids, 256, pp. 139-147 (2018).
27. Kiran, G.R., Murthy, V.R., and Radha Krishnama Charya, G. "Pulsatile flow of a dusty fluid thorough a constricted channel in the presence of magnetic field", Materials Today: Proceedings, 19, pp. 2645- 2649 (2019).
28. Punith Gowda, R.J., Naveen K.R., and Prasanna Kumara, B.C. "Two-phase Darcy-Forchheimer flow of dusty hybrid nanofluid with viscous dissipation over a cylinder", International Journal of Applied and Computational Mathematics, 7(3), pp. 1-18 (2021).
29. Shankaralingappa, B.M., Gireesha, B.J., Prasanna Kumara, B.C. "Darcy-Forchheimer flow of dusty tangent hyperbolic fluid over a stretching sheet with Cattaneo- Christov heat flux", Waves in Random and Complex Media, pp. 1-20 (2021).
30. Radhika, M., Punith Gowda, R.J., Naveenkumar, R., et al. "Heat transfer in dusty fluid with suspended hybrid nanoparticles over a melting surface", Heat Transfer, 50(3), pp. 2150-2167 (2021). 
31. Ali, N., Sajid, M., and Hayat, T. "Long wavelength flow analysis in a curvedchannel", Zeitschrift fur Naturforschung A., 65(3), pp. 191-196 (2010).
32. Hayat, T., Farooq, S., and Alsaedi, A. "MHD peristaltic flow in a curved channel with convective condition", Journal of Mechanics, 33(4), pp. 483-499 (2017).
33. Shehzad, S.A., Abbasi, F.M., Hayat, T., et al. "Peristalsis in a curved channel with slip condition and radial magnetic field", International Journal of Heat and Mass Transfer, 91, pp. 562-569 (2015).
34. Bibi, F., Hayat, T., Farooq, S., et al. "Entropy generation analysis in peristaltic motion of Sisko material with variable viscosity and thermal conductivity", Journal of Thermal Analysis and Calorimetry, 143(1), pp. 363-375 (2021).
35. Nadeem, S. and Shahzadi, I. "Mathematical analysis for peristaltic flow of two phase nanofluid in a curved channel", Communications in Theoretical Physics, 64(5), p. 547 (2015).
36. Riaz, A., Khan, S.U.D., Zeeshan, A., et al. "Thermal analysis of peristaltic flow of nanosized particles within a curved channel with second-order partial slip and porous medium", Journal of Thermal Analysis and Calorimetry, 143(3), pp. 1997-2009 (2021).
37. Rashid, M., Ansar, K., and Nadeem, S. "Effects of induced magnetic field for peristaltic flow of Williamson fluid in a curved channel", Physica A: Statistical Mechanics and its Applications, 553, 123979 (2020).
Scientia Iranica
Volume 31, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2024
Pages 15-25

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