MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface

Haroon Rasheed; Abdul Rehman; Naveed Sheikh; Saleem Iqbal

doi:doi:10.11648/j.acm.20170606.15

| Peer-Reviewed

MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface

Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal

Published in Applied and Computational Mathematics (Volume 6, Issue 6)

Received: 25 October 2017 Accepted: 13 November 2017 Published: 25 December 2017

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).

Published in	Applied and Computational Mathematics (Volume 6, Issue 6)
DOI	10.11648/j.acm.20170606.15
Page(s)	265-270
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Magnetohydrodynamic, Boundary Layer Flow, Nanoparticle, Moving Surface

References

[1]	S. U. S. Choi, Enhancing Thermal Conductivity of Fluids With Nanoparticles, Development and Applications of Non-Newtonian Flows, in ASME MD- vol. 231 and FED-vol. 66, ed. by DA Siginer, HP Wang (USDOE, Washington, DC (United States), 1995), pp. 99-105.
[2]	S. P. Jang, S. U. S. Choi, Effects of various parameters on nanofluid thermal conductivity, J. of Heat Transf. 129 (2007) 617-623.
[3]	Md Shakhaoath Khan, Ifsana Karim, Md Sirajul Islam, Mohammad Wahiduzzaman, MHD boundary layer radiative, heat generating and chemical reacting flow past a wedge moving in a nanofluid, Nano Convergence 2014, 1:20.
[4]	S. Nadeem, Abdul Rehman, Axisymmetric stagnation flow of a nanofluid in a moving cylinder, Computational Mathematics and Modeling, 24 (2) (2013) 293-306.
[5]	Abdul Rehman, S. Nadeem, M. Y. Malik, Stagnation flow of couple stress nanofluid over an exponentially stretching sheet through a porous medium, Journal of Power Technologies 93 (2) (2013) 122-132.
[6]	M. Ferdows, Md. Shakhaoath Khan, Md. Mahmud Alam, Shuyu Sun, MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet, Mathematical Problems in Engineering, doi:10.1155/2012/408528.
[7]	Md Shakhaoath Khan, Ifsana Karim, Lasker Ershad Ali, Ariful Islam, Unsteady MHD free convection boundary-layer flow of a nanofluid along a stretching sheet with thermal radiation and viscous dissipation effects, International Nano Letters (2012), 2-24.
[8]	Abdul Rehman, S. Nadeem, S. Iqbal, Muhammad Y. Malik, M. Naseer, Nanoparticle effect over the boundary layer flow over an exponentially stretching cylinder, Proc IMechE Part N: J Nano engineering and Nano systems DOI: 10.1177/1740349913517872.
[9]	M. Y. Malik, M. Naseer, S. Nadeem, Abdul Rehman, The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder, Appl Nanosci, DOI 10.1007/s13204-013-0267-0.
[10]	Mohammad Mehdi Keshtkar, Neda Esmaili, Mohammad Reza Ghazanfari, Effect of heat source/sink on MHD mixed convection boundary layer flow on a vertical surface in a porous medium saturated by a nanofluid with suction or injection, Research Inventy: International Journal of Engineering And Science, 4 (5) (2014) 01-11.
[11]	B. Ghasemi, S. M. Aminossadati, Mixed convection in a lid-driven triangular enclosure filled with nanofluids, Int. Comm. Heat Mass Transfer, 37 (2010) 1142-1148.
[12]	Abdul Rehman, S. Nadeem, Mixed convection heat transfer in micropolar nanofluid over a vertical slender cylinder, Chin Phys Lett 29 (12) (2012) 124701-8.
[13]	E. Abu-Nada, Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step, Int. J. Heat Fluid Flow 29 (2008) 242-249.
[14]	M. M. Rashidi, E. Momoniat, B. Rostami, Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters, Journal of Applied Mathematics, Doi:10.1155/2012/780415.
[15]	S. Nadeem, Abdul Rehman, K. Vajravelu, Jinho Lee, Changhoon Lee, Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder, Mathematical Problems in Engineering, Volume 2012, Article ID 378259.
[16]	S. Nadeem, Abdul Rehman, Changhoon Lee, Jinho Lee, Boundary layer flow of second grade fluid in a cylinder with heat transfer, Mathematical Problems in Engineering, Volume 2012, Article ID 640289.
[17]	S. Nadeem, Abdul Rehman, Mohamed Ali, The boundary layer flow and heat transfer of a nanofluid over a vertical slender cylinder, J. Nano Engineering and Nano Systems (2012) 1-9.
[18]	Abdul Rehman, S. Nadeem, M. Y. Malik, Boundary layer stagnation-point flow of a third grade fluid over an exponentially stretching sheet, Braz. J. Che. Eng. 30 (3) (2013) 611-618.
[19]	Abdul Rehman, S. Nadeem, Heat transfer analysis of the boundary layer flow over a vertical exponentially stretching cylinder, Global J. Sci. Fron. Res. 13 (11) (2013) 73-85.
[20]	M. Y. Malik, M. Naseer, S. Nadeem, Abdul Rehman, The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder, Alexandria Engineering J., 53 (2014) 747-750.
[21]	M. Y. Malik, M. Naseer, Abdul Rehman, Numerical study of convective heat transfer on the Power Law fluid over a vertical exponentially stretching cylinder, Applied and Computational Mathematics, 4 (5), (2015) 346-350.
[22]	Abdul Rehman, Razmak Bazai, Sallahuddin Achakzai, Saleem Iqbal, Muhammad Naseer, Boundary Layer Flow and Heat Transfer of Micropolar Fluid over a Vertical Exponentially Stretched Cylinder, Applied and Computational Mathematics, 4 (6) (2015) 424-430.
[23]	Abdul Rehman, Ghulam Farooq, Israr Ahmed, Muhammad Naseer, Muhammad Zulfiqar, Boundary Layer Stagnation-Point Flow of Second Grade Fluid over an Exponentially Stretching Sheet, American Journal of Applied Mathematics and Statistics, 3 (6) (2015) 211-219.
[24]	Abdul Rehmana, Sallahuddin Achakzai, Sohail Nadeem, Saleem Iqbal, Stagnation point flow of Eyring Powell fluid in a vertical cylinder with heat transfer, Journal of Power Technologies 96 (1) (2016) 57–62.
[25]	Abdul Rehman, Saleem Iqbal, Syed Mohsin Raza, Axisymmetric Stagnation Flow of a Micropolar Fluid in a Moving Cylinder: An Analytical Solution, Fluid Mechanics, 2 (1) (2016) 1-7.
[26]	Abdul Rehman, Naveed Sheikh, Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet, International Journal of Fluid Mechanics & Thermal Sciences, 3 (3) (2017) 25-31.

Cite This Article

Plain Text BibTeX RIS

APA Style

Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal. (2017). MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Applied and Computational Mathematics, 6(6), 265-270. https://doi.org/10.11648/j.acm.20170606.15

Copy | Download

ACS Style

Haroon Rasheed; Abdul Rehman; Naveed Sheikh; Saleem Iqbal. MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Appl. Comput. Math. 2017, 6(6), 265-270. doi: 10.11648/j.acm.20170606.15

Copy | Download

AMA Style

Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal. MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Appl Comput Math. 2017;6(6):265-270. doi: 10.11648/j.acm.20170606.15

Copy | Download

@article{10.11648/j.acm.20170606.15,
  author = {Haroon Rasheed and Abdul Rehman and Naveed Sheikh and Saleem Iqbal},
  title = {MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {6},
  pages = {265-270},
  doi = {10.11648/j.acm.20170606.15},
  url = {https://doi.org/10.11648/j.acm.20170606.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170606.15},
  abstract = {The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface
AU  - Haroon Rasheed
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
Y1  - 2017/12/25
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170606.15
DO  - 10.11648/j.acm.20170606.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 265
EP  - 270
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170606.15
AB  - The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).
VL  - 6
IS  - 6
ER  -

Copy | Download

Author Information

Haroon Rasheed

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Abdul Rehman

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Saleem Iqbal

Department of Mathematics, University of Balochistan, Quetta, Pakistan

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal. (2017). MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Applied and Computational Mathematics, 6(6), 265-270. https://doi.org/10.11648/j.acm.20170606.15

Copy | Download

ACS Style

Haroon Rasheed; Abdul Rehman; Naveed Sheikh; Saleem Iqbal. MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Appl. Comput. Math. 2017, 6(6), 265-270. doi: 10.11648/j.acm.20170606.15

Copy | Download

AMA Style

Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal. MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface. Appl Comput Math. 2017;6(6):265-270. doi: 10.11648/j.acm.20170606.15

Copy | Download

@article{10.11648/j.acm.20170606.15,
  author = {Haroon Rasheed and Abdul Rehman and Naveed Sheikh and Saleem Iqbal},
  title = {MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {6},
  pages = {265-270},
  doi = {10.11648/j.acm.20170606.15},
  url = {https://doi.org/10.11648/j.acm.20170606.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170606.15},
  abstract = {The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface
AU  - Haroon Rasheed
AU  - Abdul Rehman
AU  - Naveed Sheikh
AU  - Saleem Iqbal
Y1  - 2017/12/25
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170606.15
DO  - 10.11648/j.acm.20170606.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 265
EP  - 270
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170606.15
AB  - The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).
VL  - 6
IS  - 6
ER  -

Copy | Download