Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation

Chinmayee Podder; Md. Abdus Samad

doi:doi:10.11648/j.ajam.20160406.16

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Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation

Chinmayee Podder, Md. Abdus Samad

Published in American Journal of Applied Mathematics (Volume 4, Issue 6)

Received: 26 September 2016 Accepted: 1 November 2016 Published: 29 November 2016

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Abstract

This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 6)
DOI	10.11648/j.ajam.20160406.16
Page(s)	296-309
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), 2016. Published by Science Publishing Group

Keywords

Dufour Number, Soret Number, Non-Newtonian Power-Law Fluid, Thermal Radiation, Viscous Dissipation

References

[1]	Elbashbeshy, E. M. A., “Heat Transfer over a Stretching Surface with Variable Surface Heat Flux”, J. Phys. D: Appl. Phys. 31(1998), 1951-1954.
[2]	Vajravelu, K. and A. Hadjinicolaou, “Convective Heat Transfer in an Electrically Conducting Fluid at a stretching surface with uniform free stream”, Int. J. Eng. Sci. 35(1997), 12-13, 1237-1244.
[3]	Howell, T. G., D. R. Jeng, and K. J. De Witt, “Momentum and heat transfer on a continuous moving surface in a power law fluid”, Int. J. of Heat and Mass Transfer, 40 (1997), 1853-1861.
[4]	Rahman, M. A., M. A. Samad, M. M. Rahman and M. Muhebujjaman, “Numerical Study of MHD Forced Convective Flow of a Micropolar Fluid Past a Non-Linear Stretching Sheet with a Variable Viscosity”, Dhaka Univ. J. Sci. 57 (2008), 243-248.
[5]	Raptis, A., “Flow of a micropolar fluid past a continuously moving plate by the presence of radiation”, Int. J. Heat Mass Transfer, 41 (1998), 2865-2866.
[6]	Andersson, H. I., K. H. Bech, and B. S. Dandapat, “Magnetohydrodynamic flow of a power-law fluid over a stretching sheet”, Int. J. Non-Linear Mech. 27 (1992), 926-936.
[7]	Mahmoud, M. A. A. and M. A. E. Mahmoud, “Analytical solutions of hydromagnetic Boundary-Layer flow of a non-Newtonian power-law fluid past a continuously moving surface”, Acta Mechanica, 181 (2006), 83–89.
[8]	Dandapaat, B. S. and A. S. Gupta, “Flow and heat transfer in a viscoelastic fluid over a stretching sheet”, Int. J. Non-Linear Mech. 40 (2005), 215-219.
[9]	Datti, P. S., K. V. Prasad, M. S. Abel, and A. Joshi, “MHD viscoelastic fluid flow over a non-isothermal stretching sheet”, Int. J. Eng. Sci. 42 (2005), 935-946.
[10]	Cess, R. D., “The effect of Radiation upon the forced convection heat transfer”, Appl. Sci. Res. 10 (1966), 1269-1277.
[11]	Pop, S. R., T. Grosan and I. Pop, “Radiation Effect on the Flow Near the Stagnation Point of a Stretching Sheet”, Technische Mechanik, 25 (2004), 100-106.
[12]	Damesh, R. A., H. M. Duwairi and M. Al-Odat, “Similarity analysis of magnetic field and thermal radiation effects on forced convection flow”, Turk J. Eng Env. 30 (2006), 83-89.
[13]	Cortell, R., “Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet”, Physics Letters, 372 (2008), 631-636.
[14]	Chen, C. H., “Effects of magnetic field and suction/injection on convective heat transfer on non-Newtonian power-law fluids past a power-law stretched sheet with surface heat flux”, Int. J. Thermal Sci. 47 (2008), 954-961.
[15]	O. D. Makinde, K. Zimba, O. Anwar Beg, “Numerical Study of Chemically-Reacting Hydromagnetic Boundary Layer Flow with Soret/Dufour Effects and a Convective Surface Boundary Condition”, Int. J. of Thermal & Environmental Engineering, 4 (1) (2012), 89-98.
[16]	M. J. Subhakar, K. Gangadhar, N. Bhaskar Reddy, “Soret and Dufour effects on MHD convective flow of heat and mass transfer over a moving non-isothermal vertical plate with heat generation/absorption”, Advances in Applied Science Research, 3 (5) (2012), 3165-3184.
[17]	Alam M. S., M. M. Rahman, M. A. Samad, “Dufour and Soret effects on unsteady MHD Free convection and Mass Transfer flow past a vertical porous plate in a porous medium”, Nonlinear Analysis: Modelling and Control, 11 (3) (2006): 217-226.
[18]	Mahdy, A., “Soret and Dufour effect on double diffusion mixed convection from a vertical surface in a porous medium saturated with a non-Newtonian fluid”, J. of Non-Newtonian Fluid Mech., 165 (2010): 568-575.
[19]	Tai Bo-Chen and Char Ming-I, “Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation”, Int. Commun. Heat and Mass Transfer, 37 (2010): 480-483.
[20]	Abreu C. R. A., Alfradique, M. F. and Silva, A. T., “Boundary layer flows with Dufour and Soret effects: I: Forced and natural convection”, Chemical Engineering Science, 61(2006): 4282-4289.
[21]	Moorthy M. B. K., Kannan T. and Senthil Vaido, “Soret and Dufour Effects on Natural Convection Heat and Mass Transfer Flow past a Horizontal Surface in a Porous Medium with Variable Viscosity”, WSEASTRANSACTIONS on HEAT and MASS TRANSFER, 8(3) (2013):121-130.
[22]	Omowaye A. J., Fagbade A. I and Ajayi A. O., “Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach”, Journal of the Nigerian Mathematical Society, 34 (2015): 343–360.

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APA Style

Chinmayee Podder, Md. Abdus Samad. (2016). Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. American Journal of Applied Mathematics, 4(6), 296-309. https://doi.org/10.11648/j.ajam.20160406.16

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ACS Style

Chinmayee Podder; Md. Abdus Samad. Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. Am. J. Appl. Math. 2016, 4(6), 296-309. doi: 10.11648/j.ajam.20160406.16

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AMA Style

Chinmayee Podder, Md. Abdus Samad. Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. Am J Appl Math. 2016;4(6):296-309. doi: 10.11648/j.ajam.20160406.16

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@article{10.11648/j.ajam.20160406.16,
  author = {Chinmayee Podder and Md. Abdus Samad},
  title = {Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {296-309},
  doi = {10.11648/j.ajam.20160406.16},
  url = {https://doi.org/10.11648/j.ajam.20160406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.16},
  abstract = {This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.},
 year = {2016}
}

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TY  - JOUR
T1  - Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation
AU  - Chinmayee Podder
AU  - Md. Abdus Samad
Y1  - 2016/11/29
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160406.16
DO  - 10.11648/j.ajam.20160406.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 296
EP  - 309
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160406.16
AB  - This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.
VL  - 4
IS  - 6
ER  -

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Author Information

Chinmayee Podder

Department of Mathematics, University of Barisal, Barisal, Bangladesh
Md. Abdus Samad

Department of applied Mathematics, University of Dhaka, Dhaka, Bangladesh

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APA Style

Chinmayee Podder, Md. Abdus Samad. (2016). Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. American Journal of Applied Mathematics, 4(6), 296-309. https://doi.org/10.11648/j.ajam.20160406.16

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ACS Style

Chinmayee Podder; Md. Abdus Samad. Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. Am. J. Appl. Math. 2016, 4(6), 296-309. doi: 10.11648/j.ajam.20160406.16

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AMA Style

Chinmayee Podder, Md. Abdus Samad. Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation. Am J Appl Math. 2016;4(6):296-309. doi: 10.11648/j.ajam.20160406.16

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@article{10.11648/j.ajam.20160406.16,
  author = {Chinmayee Podder and Md. Abdus Samad},
  title = {Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {296-309},
  doi = {10.11648/j.ajam.20160406.16},
  url = {https://doi.org/10.11648/j.ajam.20160406.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.16},
  abstract = {This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation
AU  - Chinmayee Podder
AU  - Md. Abdus Samad
Y1  - 2016/11/29
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160406.16
DO  - 10.11648/j.ajam.20160406.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 296
EP  - 309
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160406.16
AB  - This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.
VL  - 4
IS  - 6
ER  -

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