DOI QR코드

DOI QR Code

The strongest control of thermophoresis coefficient on nanoparticle profile at intermediate gaps: A spinning sphere

  • Sharif, Humaira (Department of Mathematics, Govt. College University Faisalabad) ;
  • Naeem, Muhammad Nawaz (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed A. (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Ayed, Hamdi (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Alshoaibi, Adil (Department of Physics, College of Science, King Faisal University)
  • Received : 2021.07.13
  • Accepted : 2022.03.03
  • Published : 2022.03.25

Abstract

The evaluation of velocity profile for large values of buoyancy parameter and Bioconvected Rayleigh number is examined. The non-linear problem has been tackled numerically by shooting technique. Nanofluid temperature and nanoparticle concentration slightly elevates for increasing values of thermophoresis coefficient. Thickness of thermal boundary layer is significantly increased with thermophoresis coefficient whereas thickness of concentration boundary layer is more slightly enhanced. The response of temperature and nanoparticles concentration is observed due to change in Brownian motion parameter. As Brownian motion parameter increased temperature distribution is slightly enhanced. The reverse behavior is observed in case of nanoparticles concentration. Comparison of numerical technique with the extant literature is made and an acceptable agreement is attained.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups under grant number R.G.P.2/2/43.

References

  1. Abdulrazzaq, M.A., Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020), "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory", Steel Compos. Struct., 35(1), 147-57. https://doi.org/10.12989/scs.2020.35.1.147.
  2. Agranat, V.M. (1988), "Effect of pressure gradient on friction and heat transfer in a dusty boundary layer", Fluid Dyn., 23, 729-732. http://doi.org/10.1007/BF02614150.
  3. Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 403-421. https://doi.org/10.12989/scs.2011.11.5.403.
  4. Baaskaran, N., Ponappa, K. and Shankar, S. (2018), "Assessment of dynamic crushing and energy absorption characteristics of thin-walled cylinders due to axial and oblique impact load", Steel Compos. Struct., 28(2), 179-194. https://doi.org/10.12989/scs.2018.28.2.179.
  5. Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699.
  6. Beg, O.A., Mabood, F. and Islam, M.N. (2015), "Homotopy simulation of nonlinear unsteady rotating nanofluid flow from a spinning body", Int. J. Eng. Math., 2015, 1-15. http://doi.org/10.1155/2015/272079.
  7. Bilouei, B.S., Kolahchi, R. and Bidgoli, M.R. (2016), "Buckling of concrete columns retrofitted with Nano-Fiber Reinforced Polymer (NFRP)", Comput. Concrete, 18(5), 1053-1063. https://doi.org/10.12989/cac.2016.18.6.1053.
  8. Chakrabarti, K.M. (1974), "Note on Boundary layer in a dusty gas", AIAA, 12, 1136-1137. http://doi.org/10.2514/3.49427.
  9. Chamkha, A. (2010), "Effects of thermal stratification on flow and heat transfer due to a stretching cylinder with uniform suction/injection", Int. J. Ener. Tech., 2(4), 1-7. https://doi.org/10.7763/IJET.2010.V2.91
  10. Chen, J., Zhuang, Y., Fang, H., Liu, W., Zhu, L. and Fan, Z. (2019a), "Energy absorption of foam-filled lattice composite cylinders under lateral compressive loading", Steel Compos. Struct., 31(2), 133-148. https://doi.org/10.12989/scs.2019.31.2.133.
  11. Chen, W., Ji, C., Alam, M.M. and Xu, D. (2019b), "Flow-induced vibrations of three circular cylinders in an equilateral triangular arrangement subjected to cross-flow", Wind Struct., 29(1), 43-53. https://doi.org/10.12989/was.2019.29.1.043.
  12. Civalek, O. (2017), "Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method", Compos. Part B Eng., 111, 45-59. https://doi.org/10.1016/j.compositesb.2016.11.030.
  13. Derakhshandeh, J.F. and Alam, M.M. (2020), "Reynolds number effect on the flow past two tandem cylinders", Wind Struct., 30(5), 475-483. https://doi.org/10.12989/was.2020.30.5.475.
  14. Golabchi, H., Kolahchi, R. and Bidgoli, M.R. (2018), "Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects", Comput. Concrete, 21(4), 431-440. https://doi.org/10.12989/cac.2018.21.4.431.
  15. Imtiaz, M., Hayat, T. and Alsaedi, A. (2016), "Mixed convection flow of Casson nanofluid over a stretching cylinder with convective boundary conditions", Adv. Powder Tech., 27(5), 2245-2256. https://doi.org/10.1016/j.apt.2016.08.011.
  16. Iqbal, W., Naeem, M.N. and Jalil, M. (2019), "Numerical analysis of Williamson fluid flow along an exponentially stretching cylinder". AIP Adv., 9(5), 055118, http://doi.org/10.1063/1.5092737.
  17. Ishak, A. and Nazar, R. (2009), "Laminar boundary layer flow along a stretching cylinder", Eur. J. Sci. Res., 36(1), 22-29.
  18. Ishak, A., Nazar, R. and Pop, I. (2008), "Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder", Appl. Math. Model., 32(10), 2059-2066. https://doi.org/10.1016/j.apm.2007.06.036.
  19. Khan, M. and Malik, R. (2015), "Forced convective heat transfer to Sisko fluid flow past a stretching cylinder", AIP Adv., 5(12), 127202. http://doi.org/10.1063/1.4937346.
  20. Konch, J. and Hazarika, G.C. (2017), "Unsteady Hydro magnetic flow of dusty fluid over a stretching cylinder with variable viscosity and thermal conductivity", Int. J. Adv. Sci. Tech., 99, 57-70. http://doi.org/10.14257/ijast.2017.99.05.
  21. Lal, A. and Markad, K. (2018), "Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams", Comput. Concrete, 22(6), 501-514. https://doi.org/10.12989/cac.2018.22.6.501.
  22. Loghman, A., Arani, A.G. and Barzoki, A.A.M. (2017), "Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates", Comput. Concrete, 19(6), 677-687. https://doi.org/10.12989/cac.2017.19.6.677.
  23. Mahdy, A. (2015), "Heat transfer and flow of a Casson fluid due to a stretching cylinder with the soret and dufour effects", J. Eng. Phys. Therm., 88(4), 928-936. https://doi.org/10.1007/s10891-015-1267-6.
  24. Malik, M.Y., Hussain, A., Salahuddin, T., Awais, M., Bilal, S. and Khan, F. (2016), "Flow of Sisko fluid over a stretching cylinder and heat transfer with viscous dissipation and variable thermal conductivity: a numerical study", AIP Adv., 6(4), 045118. https://doi.org/10.1063/1.4948458.
  25. Malik, M.Y., Naseer, M., Nadeem, S. and Rehman, A. (2013), "The boundary layer flow of Casson nanofluid over an exponentially stretching cylinder", Appl Nanosci, 4, 869-873. https://doi.org/10.1007/s 13204-013-0267-0.
  26. Mousavi, M., Mohammadimehr, M. and Rostami, R. (2019), "Analytical solution for buckling analysis of micro sandwich hollow circular plate", Comput. Concrete, 24(3), 185-192. https://doi.org/10.12989/cac.2019.24.3.185.
  27. Mousavi, M., Mohammadimehr, M. and Rostami, R. (2019), "Analytical solution for buckling analysis of micro sandwich hollow circular plate", Comput. Concrete, 24(3), 185-192. https://doi.org/10.12989/cac.2019.24.3.185.
  28. Naseer, M., Malik, M.Y., Nadeem, S. and Rehman, A. (2014), "The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder", Alexandria Eng. J., 53, 747-750. https://doi.org/10.1016/j.aej.2014.05.001.
  29. Rasekh, A., Ganji, D.D., Tavakoli, S., Ehsani, H. and Naeejee, S. (2014), "MHD flow and heat transfer of dusty fluid over a stretching hollow cylinder with a convective boundary conditions", Heat Trans. Asian Res., 43(3), 221-232. https://doi.org/10.1002/htj.21073.
  30. Rebhi, A.D. (2010), "On boundary layer flow of dusty gas from a horizontal circular cylinder", Brazil J. Chem. Eng., 27(4), 653-662. http://doi.org/10.1590/S0104-66322010000400017.
  31. Rehman, A. (2015), "Boundary layer flow and heat transfer of micropolar fluid over a vertical exponentially stretching cylinder", Appl. Comput. Math, 4(6), 424-430. http://doi.org/10.11648/j.acm.20150406.15.
  32. Safaei, B., Khoda, F.H. and Fattahi, A.M. (2019), "Non-classical plate model for single-layered graphene sheet for axial buckling", Adv. Nano Res., 7, 265-275. http://doi.org/10.12989/anr.2019.7.4.265.
  33. Saffman, P.G. (1962), "On the stability of laminar flow of a dusty gas", J. Fluid Mech., 13, 120-128. https://doi.org/10.1017/S0022112062000555.
  34. Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805.
  35. Salahuddin, T., Malik, M.Y., Hussain, A., Awais, M. and Bilal, S. (2017), "Mixed convection boundary layer flow of Williamson fluid with slip conditions over a stretching cylinder by using Keller-box method", Int. J. Nonlinear Sci. Numer. Simul., 18(1), 9-17. https://doi.org/10.1515/ijnsns.2015.0090.
  36. Sayin, E. and Calayir, Y. (2015), "Comparison of linear and nonlinear earthquake response of masonry walls", Comput. Concrete, 16(1), 17-35. https://doi.org/10.12989/cac.2015.16.1.017.
  37. Shadravan, S., Ramseyer, C.C. and Floyd, R.W. (2019), "Comparison of structural foam sheathing and oriented strand board panels of shear walls under lateral load", Adv. Comput. Des., 4(3), 251-272. https://doi.org/10.12989/acd.2019.4.3.251.
  38. Wang, C.Y. (1988), "Fluid flow due to a stretching cylinder", Phys. Fluid., 31, 466-468. https://doi.org/10.1063/1.866827.
  39. Wang, C.Y. and Ng, C.O. (2011), "Slip flow due to a stretching cylinder", Int. J. Non-Lin. Mech., 46, 1191-1194. https://doi.org/10.1016/j.ijnonlinmec.2011.05.0.
  40. Zamani, A., Kolahchi, R. and Bidgoli, M.R. (2017), "Seismic response of smart nanocomposite cylindrical shell conveying fluid flow using HDQ-Newmark methods", Comput. Concrete, 20(6), 671-682. https://doi.org/10.12989/cac.2017.20.6.671.