Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

Ayele Tulu; Wubshet Ibrahim

doi:doi:10.11648/j.ijamtp.20190504.13

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Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

Ayele Tulu, Wubshet Ibrahim

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 4)

Received: 7 September 2019 Accepted: 28 October 2019 Published: 10 December 2019

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Abstract

In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 4)
DOI	10.11648/j.ijamtp.20190504.13
Page(s)	111-117
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), 2019. Published by Science Publishing Group

Keywords

Unsteady Flow, Wedge Surface, Nanofluid, Viscous Dissipation, Spectral Quasilinearization Method

References

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[2]	T. Salahuddin, A. Hussain, M. Y Malik, M. Awais, and M. Khan (2017), Carreau nanofluid impinging over a stretching cylinder with generalized slip effects using finite difference scheme. Results in Phy., 7, 3090-3099.
[3]	A. Nageeb, H. Haroun, S. Mondal, and P. Sibanda (2017), Effects of thermal radiation on mixed convection in a MHD nanofluid flow over a stretching sheet. In. J. Math. Com., Phy. Ele. Comp. Eng, 11 (2).
[4]	M. S Alama, M. Ali, M. A Alim, M. J Munshi, and M. Z Chowdhur (2017), Solution of Falkner- Skan unsteady MHD boundary layer flow and heat transfer past a moving porous wedge in a nanofluid. Sci. Dir., Pro. Eng., 194, 414-420.
[5]	B. K Ramesh, R. K Shreenivas, L. N Achala, and N. M Bujurk (2017), Similarity solutions of the MHD boundary layer flow past a constant wedge within porous media. Math. Prob. in Eng., doi: 10.1155/2017/1428137.
[6]	V. Nagendramma, K. Sreelakshmi, and G. Sarojamma (2017), Magnetohydrodynamic heat and mass transfer flow over a stretching wedge with convective boundary condition and thermophoresis. Sci. Dir., Pro. Eng., 127, 963 – 969.
[7]	W. Ibrahim, and A. Tulu (2019), Magnetohydrodynamic boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media, Math. Prob. in Eng., doi: 10.1155/2019/4507852.
[8]	D. Srinivasacharya, U. Mendu, and K. Venumadhav (2015), MHD boundary layer flow of a nanofluid past a wedge. Sci. Dir., Pro. Eng., 127, 1064-1070.
[9]	X. Xu, and S. Chen (2017), Dual solutions of a boundary layer problem for MHD nanofluids through a permeable wedge with variable viscosity. Xu and Chen Bou. Val. Prob, 147.
[10]	E. Haile, and B. Shankar (2015), Boundary-layer flow of nanofluids over a moving surface in the presence of thermal radiation, viscous dissipation and chemical reaction. J. of App. Math., 10, 952-969.
[11]	A. C Yunus, and A. J Ghajar (2015), Heat and Mass Transfer, fundamentals and applications. Mcgraw-Hill education, 2 Penn Plaza, New York, 5.
[12]	S. S Majety, and K. Gangadhar (2016), Viscous dissipation effects on radiative MHD boundary layer flow of nanofluid past a wedge through porous medium with chemical reaction. IOSR J. of Math. 12, 71-81.
[13]	S. S Motsa (2013), A new spectral local linearization method for nonlinear boundary layer flow problems. J. of App. Math., doi: 10.1155/2013/423628.
[14]	S. S Motsa, Z. G Makukula, and S. Shateyi, (2013), Spectral local linearization approach for natural convection boundary layer flow. Math. Prob. in Eng., doi: 10.1155/2013/765013.
[15]	N. Ali N, J. A Teixeira, and A. Addali (2018), A review on nanofluids: fabrication, stability, and thermophysical properties. J. of Nanomaterials, doi.org/10.1155/2018/6978130.
[16]	V. M Falkner, and S. W Skan (1931), Some approximate solutions of the boundary layer equations. Philos. Mag., 12, 865-896.
[17]	I. Ullah, I. Khan, and S. Shafie (2016), Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer. Alexandria J. of Eng., 55, 2139-2148.
[18]	G. Ashwini, and A. T Eswara (2012), MHD Falkner-Skan boundary layer flow with internal heat generation or absorption. Int. J. of Math. and Comp. Sc., 6, 556-559.
[19]	T. Watanabe (1990), Thermal boundary layer over a wedge with uniform suction and injection in forced flow. Acta_Mechanica, 83, 19-26.

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APA Style

Ayele Tulu, Wubshet Ibrahim. (2019). Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. International Journal of Applied Mathematics and Theoretical Physics, 5(4), 111-117. https://doi.org/10.11648/j.ijamtp.20190504.13

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ACS Style

Ayele Tulu; Wubshet Ibrahim. Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. Int. J. Appl. Math. Theor. Phys. 2019, 5(4), 111-117. doi: 10.11648/j.ijamtp.20190504.13

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AMA Style

Ayele Tulu, Wubshet Ibrahim. Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. Int J Appl Math Theor Phys. 2019;5(4):111-117. doi: 10.11648/j.ijamtp.20190504.13

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@article{10.11648/j.ijamtp.20190504.13,
  author = {Ayele Tulu and Wubshet Ibrahim},
  title = {Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {4},
  pages = {111-117},
  doi = {10.11648/j.ijamtp.20190504.13},
  url = {https://doi.org/10.11648/j.ijamtp.20190504.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190504.13},
  abstract = {In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.},
 year = {2019}
}

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TY  - JOUR
T1  - Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method
AU  - Ayele Tulu
AU  - Wubshet Ibrahim
Y1  - 2019/12/10
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190504.13
DO  - 10.11648/j.ijamtp.20190504.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 111
EP  - 117
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190504.13
AB  - In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.
VL  - 5
IS  - 4
ER  -

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Author Information

Ayele Tulu

Department of Mathematics, Wollega University, Nekemte, Ethiopia
Wubshet Ibrahim

Departments of Mathematics, Ambo University, Ambo, Ethiopia

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APA Style

Ayele Tulu, Wubshet Ibrahim. (2019). Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. International Journal of Applied Mathematics and Theoretical Physics, 5(4), 111-117. https://doi.org/10.11648/j.ijamtp.20190504.13

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ACS Style

Ayele Tulu; Wubshet Ibrahim. Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. Int. J. Appl. Math. Theor. Phys. 2019, 5(4), 111-117. doi: 10.11648/j.ijamtp.20190504.13

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AMA Style

Ayele Tulu, Wubshet Ibrahim. Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method. Int J Appl Math Theor Phys. 2019;5(4):111-117. doi: 10.11648/j.ijamtp.20190504.13

Copy | Download

@article{10.11648/j.ijamtp.20190504.13,
  author = {Ayele Tulu and Wubshet Ibrahim},
  title = {Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {4},
  pages = {111-117},
  doi = {10.11648/j.ijamtp.20190504.13},
  url = {https://doi.org/10.11648/j.ijamtp.20190504.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190504.13},
  abstract = {In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method
AU  - Ayele Tulu
AU  - Wubshet Ibrahim
Y1  - 2019/12/10
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190504.13
DO  - 10.11648/j.ijamtp.20190504.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 111
EP  - 117
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190504.13
AB  - In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.
VL  - 5
IS  - 4
ER  -

Copy | Download