Advertisement

Activation energy and chemical reaction in Maxwell magneto-nanoliquid with passive control of nanoparticle volume fraction

  • G. K. Ramesh
  • S. A. Shehzad
  • T. Hayat
  • A. Alsaedi
Technical Paper
  • 33 Downloads

Abstract

Two-dimensional flow of Maxwell magneto-nanoliquid by stretching surface is investigated. Convective boundary conditions and passive control of nanoparticles volume fraction are used for the analysis of thermal and concentration boundary layers. Flow analysis is created by considering Buongiorno model. Influences of activation energy and chemical reaction are useful application in lubrication practice, oil and water emulsions; therefore, we retained these effects. The differential framework is illustrated numerically via spectral relaxation method. Part of critical parameters on flow fields and additionally on the skin fiction factor and energy and mass transportation rates are resolved and discussed.

Keywords

Activation energy Chemical reaction Maxwell nanoliquid Convective condition Spectral relaxation method 

Notes

Compliance with ethical standards

Conflict of Interest

The authors declare that they have no conflict of interest.

References

  1. 1.
    Fetecau C, Fetecau C (2003) A new exact solution for the flow of a Maxwell fluid past an infinite plate. Int J Non-Linear Mech 38:423–427MathSciNetCrossRefGoogle Scholar
  2. 2.
    Waheed SE (2016) Flow and heat transfer in a Maxwell liquid film over an unsteady stretching sheet in a porous medium with radiation. Springer Plus 5:1061CrossRefGoogle Scholar
  3. 3.
    Mustafa M, Mushtaq A, Hayat T, Alsaedi A (2016) Non-aligned MHD stagnation-point flow of upper-convected Maxwell fluid with nonlinear thermal radiation. Neural Comput Appl. http://sci-hub.tw/10.1007/s00521-016-2761-2 CrossRefGoogle Scholar
  4. 4.
    Noor NFM, Haq R, Abbasbandy S, Hashim I (2016) Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption. J Nonlinear Sci Appl 9:2986–3001MathSciNetCrossRefGoogle Scholar
  5. 5.
    Mushtaq A, Abbasbandy S, Mustafa M, Hayat T, Alsaedi A (2016) Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo–Christov heat flux model. AIP Adv 6:015208CrossRefGoogle Scholar
  6. 6.
    Cao L, Si X, Zheng L (2016) Convection of Maxwell fluid over stretching porous surface with heat source/sink in presence of nanoparticles: lie group analysis. Appl Math Mech 37:433–442MathSciNetCrossRefGoogle Scholar
  7. 7.
    Ramesh GK, Gireesha BJ (2014) Influence of heat source/sink on a Maxwell fluid over a stretching surface with convective boundary condition in the presence of nanoparticles. Ain Shams Eng J 5:991–998CrossRefGoogle Scholar
  8. 8.
    Ramesh GK, Gireesha BJ, Hayat T, Alsaedi A (2016) Stagnation point flow of Maxwell fluid towards a permeable surface in the presence of nanoparticles. Alex Eng J 55:857–865CrossRefGoogle Scholar
  9. 9.
    Khan MI, Khan MI, Waqas M, Hayat T, Alsaedi A (2017) Chemically reactive flow of Maxwell liquid due to variable thicked surface. Int Commun Heat Mass Transfer 86:231–238CrossRefGoogle Scholar
  10. 10.
    Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. In: ASME International Mechanical Engineering Congress & Exposition, vol 66, San Francisco, pp 99–105, 12-17 November 1995Google Scholar
  11. 11.
    Buongiorno J (2006) Convective transport in nanofluids. J Heat Transfer 128:240–250CrossRefGoogle Scholar
  12. 12.
    Ferdows M, Chapal SM, Afify AA (2014) Boundary layer flow and heat transfer of a nanofluid over a permeable unsteady stretching sheet with viscous dissipation. J Eng Thermophys 23:216–228CrossRefGoogle Scholar
  13. 13.
    Ramesh GK (2015) Numerical study of the influence of heat source on stagnation point flow towards a stretching surface of a Jeffrey nanoliquid. J Eng 2015:10CrossRefGoogle Scholar
  14. 14.
    Anwar MI, Shafie S, Kasim ARM, Salleh MZ (2016) Radiation effect on MHD stagnation-point flow of a nanofluid over a nonlinear stretching sheet with convective boundary condition. Heat Transfer Res 47:797–816CrossRefGoogle Scholar
  15. 15.
    Ibrahim W (2016) Passive control of nanoparticle of micropolar fluid past a stretching sheet with nanoparticles, convective boundary condition and second-order slip. Proc Inst Mech Eng Part E J Process Mech Eng 231:704–719CrossRefGoogle Scholar
  16. 16.
    Madhu M, Kishan N, Chamkha AJ (2017) Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects. Propuls Power Res 6:31–40CrossRefGoogle Scholar
  17. 17.
    Qayyum S, Hayat T, Alsaedi A (2017) Chemical reaction and heat generation/absorption aspects in MHD nonlinear convective flow of third grade nanofluid over a nonlinear stretching sheet with variable thickness. Results Phys 7:2752–2761CrossRefGoogle Scholar
  18. 18.
    Javed T, Mehmood Z, Abbas Z (2017) Natural convection in square cavity filled with ferrofluid saturated porous medium in the presence of uniform magnetic field. Physica B 506:122–132CrossRefGoogle Scholar
  19. 19.
    Sheikholeslami M, Shamlooei M (2017) Convective flow of nanofluid inside a lid driven porous cavity using CVFEM. Physica B 521:239–250CrossRefGoogle Scholar
  20. 20.
    Waqas M, Hayat T, Shehzad SA, Alsaedi A (2018) Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Physica B 529:33–40CrossRefGoogle Scholar
  21. 21.
    Halim NA, Sivasankaran S, Noor NFM (2017) Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface. Neural Comput Appl 28:1023–1033CrossRefGoogle Scholar
  22. 22.
    Ramly NA, Sivasankaran S, Noor NFM (2017) Zero and nonzero normal fluxes of thermal radiative boundary layer flow of nanofluid over a radially stretched surface. Sci Iran 24:2895–2903Google Scholar
  23. 23.
    Sheikholeslami M (2017) Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection. Physica B 516:55–71CrossRefGoogle Scholar
  24. 24.
    Sheikholeslami M, Darzi M, Sadoughi MK (2018) Heat transfer improvement and pressure drop during condensation of refrigerant-based nanofluid; an experimental procedure. Int J Heat Mass Transf 122:643–650CrossRefGoogle Scholar
  25. 25.
    Sheikholeslami M, Rokni HB (2018) CVFEM for effect of Lorentz forces on nanofluid flow in a porous complex shaped enclosure by means of non-equilibrium model. J Mol Liq 254:446–462CrossRefGoogle Scholar
  26. 26.
    Bai Y, Liu X, Zhang Y, Zhang M (2016) Stagnation-point heat and mass transfer of MHD Maxwell nanofluids over a stretching surface in the presence of thermophoresis. J Mol Liq 224:1172–1180CrossRefGoogle Scholar
  27. 27.
    Sheikholeslami M (2017) Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection. Physica B 516:55–71CrossRefGoogle Scholar
  28. 28.
    Khan MI, Hayat T, Khan MI, Alsaedi A (2018) Activation energy impact in nonlinear radiative stagnation point flow of Cross nanofluid. Int Commun Heat Mass Transfer 91:216–224CrossRefGoogle Scholar
  29. 29.
    Hayat T, Qayyum S, Shehzad SA, Alsaedi A (2017) Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface. Results Phys 7:562–573CrossRefGoogle Scholar
  30. 30.
    Khan MI, Alsaedi A, Shehzad SA, Hayat T (2017) Hydromagnetic nonlinear thermally radiative nanoliquid flow with Newtonian heat and mass conditions. Results Phys 7:2255–2260CrossRefGoogle Scholar
  31. 31.
    Makinde OD, Olanrewaju PO, Charles WM (2011) Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture. Afrika Mathematica 22:65–78MathSciNetCrossRefGoogle Scholar
  32. 32.
    Maleque KA (2013) Effects of exothermic/endothermic chemical reactions with Arrhenius activation energy on MHD free convection and mass transfer flow in presence of thermal radiation. J Thermodyn 2013:11CrossRefGoogle Scholar
  33. 33.
    Awad FG, Motsa S, Khumalo M (2014) Heat and mass transfer in unsteady rotating fluid flow with binary chemical reaction and activation energy. PLoS ONE 9:e107622CrossRefGoogle Scholar
  34. 34.
    Abbas Z, Sheikh M, Motsa SS (2016) Numerical solution of binary chemical reaction on stagnation point flow of Casson fluid over a stretching/shrinking sheet with thermal radiation. Energy 95:12–20CrossRefGoogle Scholar
  35. 35.
    Shafique Z, Mustafa M, Mushtaq A (2016) Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy. Results Phys 6:627–633CrossRefGoogle Scholar
  36. 36.
    Mustafa M, Khan JA, Hayat T, Alsaedi A (2017) Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy. Int J Heat Mass Transf 108:1340–1346CrossRefGoogle Scholar
  37. 37.
    Aziz A (2009) A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun Nonlinear Sci Numer Simul 14:1064–1068CrossRefGoogle Scholar
  38. 38.
    Ramesh GK, Gireesha BJ, Gorla RSR (2015) Boundary layer flow past a stretching sheet with fluid-particle suspension and convective boundary condition. Heat Mass Transfer 51:1061–1066CrossRefGoogle Scholar
  39. 39.
    Nayak MK, Akbar NS, Tripathi D, Pandey VS (2017) Three dimensional MHD flow of nanofluid over an exponential porous stretching sheet with convective boundary conditions. Therm Sci Eng Prog 3:133–140CrossRefGoogle Scholar
  40. 40.
    Hayat T, Muhammad T, Ahmad B, Shehzad SA (2016) Impact of magnetic field in three-dimensional flow of Sisko nanofluid with convective condition. J Magn Magn Mater 413:1–8CrossRefGoogle Scholar
  41. 41.
    Hayat T, Ullah I, Ahmed B, Alsaedi A (2017) MHD mixed convection flow of third grade liquid subject to non-linear thermal radiation and convective condition. Results Phys 7:2804–2811CrossRefGoogle Scholar
  42. 42.
    Ramesh GK, Gireesha BJ, Gorla RSR (2015) Study on Sakiadis and Blasius flows of Williamson fluid with convective boundary condition. Nonlinear Eng 4:215–221CrossRefGoogle Scholar
  43. 43.
    Kandasamy R, Muhaimin I (2013) R. Mohamad., Thermophoresis and Brownian motion effects on MHD boundary-layer flow of a nanofluid in the presence of thermal stratification due to solar radiation. Int J Mech Sci 70:146–154CrossRefGoogle Scholar
  44. 44.
    Makinde OD, Aziz A (2011) Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci 50:1326–1332CrossRefGoogle Scholar
  45. 45.
    Halim NA, Haq RU, Noor NFM (2017) Active and passive controls of nanoparticles in Maxwell stagnation point flow over a slipped stretched surface. Meccanica 52:1527–1539MathSciNetCrossRefGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • G. K. Ramesh
    • 1
  • S. A. Shehzad
    • 2
  • T. Hayat
    • 3
    • 4
  • A. Alsaedi
    • 4
  1. 1.Department of MathematicsK.L.E’S J.T. CollegeGadagIndia
  2. 2.Department of MathematicsCOMSATS University IslamabadSahiwalPakistan
  3. 3.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  4. 4.NAAM Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

Personalised recommendations