journal article·2015-05-01Open access

Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating

M. Ramzan, Farhan Yousaf

AIP Advances· Volume 5· Issue 5

Abstract

This paper deals with steady three dimensional boundary layer flow of an incompressible viscoelastic nanofluid flow in the presence of Newtonian heating. An appropriate transformation is employed to convert the highly non linear partial differential equations into ordinary differential equations. Homotopy Analysis method (HAM) is used to find series solution of the obtained coupled highly non linear differential equations. The convergence of HAM solutions is discussed via h-curves. Graphical illustrations displaying the influence of emerging parameters on velocity, temperature and concentration profiles are given. It is observed that γ the conjugate parameter for Newtonian heating show increasing behavior on both temperature and concentration profiles. However, the temperature and concentration profiles are increasing and decreasing functions of Brownian motion parameter Nb respectively.
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Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer Mechanisms · Rheology and Fluid Dynamics Studies

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

Affiliations

Majmaah University 1 Department of Mathematics, College of Science, Al-Zulfi, Postal Code 11932, , Saudi Arabia

Mohammad Ali Jinnah University 2 Department of Mathematics, Faculty of Computing, , Islamabad Campus, Islamabad, Postal Code 44000, Pakistan

References (27)

Show source-provided references
1. Hydromagnetic steady flow of Maxwell fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux10.1371/journal.pone.0068139 ↗
2. Modified homotopy analysis method for solving system of second order BCVPs10.1016/j.cnsns.2007.09.012 ↗
3. (2010) Homotopy solution for unsteady three dimensional MHD flow and mass transfer in a porous space10.1016/j.cnsns.2009.09.013 ↗
4. Soret-Dufour effects on three-dimensional flow of third grade fluid10.1016/j.nucengdes.2011.11.002 ↗
5. Radiative Hydromagnetic Flow of Jeffrey Nanofluid by an Exponentially Stretching Sheet10.1371/journal.pone.0103719 ↗
6. Boundary layer flow of third grade nanofluid with Newtonian heating and viscous dissipation10.1007/s11771-015-2530-x ↗
7. Three-Dimensional Mixed Convection Flow of Viscoelastic Fluid with Thermal Radiation and Convective Conditions10.1371/journal.pone.0090038 ↗
8. MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption10.1016/j.energy.2014.07.069 ↗
9. MHD three dimensional flow of viscoelastic fluid with thermal radiation and variable thermal conductivity10.1007/s11771-014-2378-5 ↗
10. Three dimensional flow of viscoelastic fluid by an exponentially stretching surface with mass transfer10.1016/j.petrol.2014.03.009 ↗
11. Enhancing thermal conductivity of fluids with nanoparticles
12. Three dimensional flow of an Oldroyd-B fluid with Newtonian heating10.1108/HFF-03-2014-0070 ↗
13. Three-Dimensional Flow of an Oldroyd-B Nanofluid towards Stretching Surface with Heat Generation/Absorption10.1371/journal.pone.010510 ↗
14. Numerical study on three-dimensional flow of nanofluid past a convectively heated exponentially stretching sheet10.1139/cjp-2014-0433 ↗
15. Mixed convection flow of viscoelastic nanofluid over a stretching cylinder10.1007/s40430-014-0219-y ↗
16. Newtonian heating effects in three-dimensional flow of viscoelastic fluid10.1088/1674-1056/23/5/054703 ↗
17. Stagnation-point flow of a nanofluid towards a stretching sheet10.1016/j.ijheatmasstransfer.2011.07.021 ↗
18. Boundary-layer flow of a nanofluid past a stretching sheet10.1016/j.ijheatmasstransfer.2010.01.032 ↗
19. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition10.1016/j.ijthermalsci.2011.02.019 ↗
20. Boundary layer flow of nano fluid over exponentially stretching surface10.1186/1556-276X-7-94 ↗
21. Numerical and Series Solutions for Stagnation-Point Flow of a nano fluid over an exponentially Stretching Sheet10.1371/journal.pone.0061859 ↗
22. 2012 · 15
23. On the practical use of the spectra homotopy analysis method and local linearisation method for unsteady boundary-layer flows caused by an impulsively stretching plate10.1007/s11075-013-9766-z ↗
24. Melting heat transfer in the stagnation point flow of Powell-Eyring fluid10.2514/1.T4059 ↗
25. Thermal radiation effectsin squeezing flow of a Jeffery fluid10.1140/epjp/i2013-13001-9 ↗
26. An analytical solution of micropolar fluidinaporous channel with mass injection using homotopy analysis method10.1108/HFF-08-2011-0158 ↗
27. Solution of the Thomas-Fermi equation with a convergent approach10.1016/j.cnsns.2012.01.030 ↗