journal article·2021-06-06Open access

Numerical Simulation of Heat Mass Transfer Effects on MHD Flow of Williamson Nanofluid by a Stretching Surface with Thermal Conductivity and Variable Thickness

Saeed Islam, Haroon Ur Rasheed, Kottakkaran Sooppy Nisar, Nawal A. Alshehri, Mohammed Zakarya

Coatings· Volume 11· Issue 6

Abstract

The current analysis deals with radiative aspects of magnetohydrodynamic boundary layer flow with heat mass transfer features on electrically conductive Williamson nanofluid by a stretching surface. The impact of variable thickness and thermal conductivity characteristics in view of melting heat flow are examined. The mathematical formulation of Williamson nanofluid flow is based on boundary layer theory pioneered by Prandtl. The boundary layer nanofluid flow idea yields a constitutive flow laws of partial differential equations (PDEs) are made dimensionless and then reduce to ordinary nonlinear differential equations (ODEs) versus transformation technique. A built-in numerical algorithm bvp4c in Mathematica software is employed for nonlinear systems computation. Considerable features of dimensionless parameters are reviewed via graphical description. A comparison with another homotopic approach (HAM) as a limiting case and an excellent agreement perceived.
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Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer Mechanisms · Fluid Dynamics and Turbulent Flows

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

References (32)

Show source-provided references
1. Enhancing thermal conductivity of fluids with nanoparticle
2. Convective transport in nanofluids10.1115/1.2150834 ↗
3. Critical review of convective heat transfer nanofluids10.1016/j.rser.2005.06.005 ↗
4. A review on nanofluids part I: Theoretical and numerical investigations10.1590/S0104-66322008000400001 ↗
5. A review on nanofluids part II: Experiments and applications10.1590/S0104-66322008000400002 ↗
6. Review of convective heat transfer enhancement with nanofluids10.1016/j.ijheatmasstransfer.2009.02.006 ↗
7. Ibrahim, W., and Gamachu, D. (2019). Nonlinear convection flow of Williamson nanofluid past a radially stretching surface. AIP Adv., 9.10.1063/1.5113688 ↗
8. Viscous dissipation effect on Williamson nanofluid over stretching/shrinking wedge with thermal radiation and chemical reaction10.1088/2399-6528/ab8a68 ↗
9. The investigation of MHD Williamson nanofluid over stretching cylinder with the effect of activation energy10.1155/2020/9523630 ↗
10. Entropy generation in MHD Williamson nanofluid over a convectively heated stretching plate with chemical reaction10.1002/htj.21703 ↗
11. Aldabesh, A., Hussain, M., Khan, N., Riahi, A., Khan, S., and Tlili, I. (2021). Thermal variable conductivity features in Buongiorno nanofluid model between parallel stretching disks: Improving energy system efficiency. Case Stud. Therm. Eng., 23.10.1016/j.csite.2020.100820 ↗
12. Alhamaly, A.S., Khan, M., Shuja, S.Z., Yilbas, B.S., and Al-Qahtani, H. (2021). Axisymmetric stagnation point flow on linearly stretching surfaces and heat transfer: Nanofluid with variable physical properties. Case Stud. Therm. Eng., 24.10.1016/j.csite.2021.100839 ↗
13. MHD stagnation point flow of nanofluid towards a stretching surface with variable thickness and thermal radiation10.1166/jon.2015.1144 ↗
14. Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet10.1016/j.csite.2020.100819 ↗
15. Reddy, Y.R., Rao, V.S., and Kumar, M.A. (2020). Effect of heat generation/absorption on MHD copper-water nanofluid flow over a non-linear stretching/shrinking sheet. AIP Conf. Proc., 2246.10.1063/5.0014438 ↗
16. 3D MHD free convective stretched flow of a radiative nanofluid inspired by variable magnetic field10.1007/s13369-018-3473-y ↗
17. The flow of pseudo plastic materials10.1021/ie50239a035 ↗
18. Rasheed, H., AL-Zubaidi, A., Islam, S., Saleem, S., Khan, Z., and Khan, W. (2021). Effects of joule heating and viscous dissipation on magnetohydrodynamic boundary layer flow of Jeffrey nanofluid over a vertically stretching cylinder. Coatings, 11.10.3390/coatings11030353 ↗
19. Ibrahim, W., and Negera, M. (2020). Melting and viscous dissipation effect on upper-convected Maxwell and Williamson nanofluid. Eng. Rep., 2.10.1002/eng2.12159 ↗
20. Peristaltic Pumping of Williamson fluid through a porous medium in a horizontal channel with heat transfer
21. Flow and heat transfer analysis of Williamson nanofluid10.1007/s13204-013-0282-1 ↗
22. Dual solutions for stagnation-point flow and convective heat transfer of a Williamson nanofluid past a stretching/shrinking sheet10.1007/s00231-015-1627-y ↗
23. Abbas, Z., Rafiq, M.Y., Alshomrani, A.S., and Ullah, M.Z. (2021). Analysis of entropy generation on peristaltic phenomena of MHD slip flow of viscous fluid in a diverging tube. Case Stud. Therm. Eng., 23.10.1016/j.csite.2020.100817 ↗
24. Boundary layer flow over a stretching sheet with variable thickness
25. Dual solutions in a thermal diffusive flow over a stretching sheet with variable thickness10.1016/j.icheatmasstransfer.2013.09.007 ↗
26. Differential transformation method for studying flow and heat transfer due to stretching sheet embedded in porous medium with variable thickness, variable thermal conductivity, and thermal radiation10.1007/s10483-014-1870-7 ↗
27. Chemically reacting and radiating nanofluid flow past an exponentially stretching sheet in a porous medium
28. Magnetic field and viscous dissipation effect on bioconvection in a permeable sphere embedded in a porous medium with a nanofluid containing gyrotactic micro-organisms10.1002/htj.21337 ↗
29. Nanofluid flow over three different geometries under viscous dissipation and thermal radiation using the local linearization method10.1002/htj.21497 ↗
30. Investigation of two-dimensional viscoelastic fluid with nonuniform heat generation over permeable stretching sheet with slip condition10.1155/2019/3121896 ↗
31. Rasheed, H., Khan, Z., Khan, I., Ching, D.L.C., and Nisar, K.S. (2019). Numerical and analytical investigation of an unsteady thin film nanofluid flow over an angular surface. Processes, 7.10.3390/pr7080486 ↗
32. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet10.1007/BF01379650 ↗