The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field

B. R. Sharma; R. N. Singh; Rupam Kr. Gogoi

doi:doi:10.11648/j.ajam.20140201.11

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The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field

B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi

Published in American Journal of Applied Mathematics (Volume 2, Issue 1)

Received: 27 December 2013 Accepted: Published: 20 February 2014

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Abstract

The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.ajam.20140201.11
Page(s)	1-7
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

Binary Mixture, Baro-Diffusion, Magnetic Field

References

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[4]	Singh H, Singh J, Bajwa BS (2009) Uranium Concentration in the Drinking water Sample Using the SSNTDs. Indian J Phys 83(7):1039 – 1044
[5]	ASTDR Agency for Toxic Substances and DisesaseRegistry( 1999), Atalanta, GA
[6]	Kumaresan M. Riyazuddin P (1999) Chemical Speciation of Trace Metals( Review). Res Chem Environ 3(4) : 59-79
[7]	Charles M (2001)UNSCEAE Report 2000: Sourcesc and effects of Ionizing Radiation . J RadiolProt 21:83-85
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[9]	Hoo LS, Samatl A, Othman MR (2004) The Crucial Concept Posed y Aquatic Organism in Assessing the Lotic System Water Quality : A review. Res J Chem Environ 8 (2):24-30
[10]	US EPA ( 2003) Current Drinking Water Standards ,pp 1-12
[11]	Landau LD, Lifshitz EM (1960) Electrodynamics of Continuous Media. Pergamon Press, New York
[12]	De Groot SR, Mazur P, Mazur S (1962) Non – Equilibrium Thermodynamics. North Holland Publishing Co, Amsterdam
[13]	Schlichting, H. (1951), Boundary Layer Theory, 1st German edition, pp.70-71 & 292.
[14]	Pai, S. I. (1956) Viscous Flow theory , 1- Laminar flow , D. Van Nostrand Company, Inc., London
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[16]	Kapur, J. N. and Sukla, J. B. (1964), Applied Science Research, Section A, Vol. 8, pp. 55-60.
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[18]	Jakeman, E.,Hurle, D. T. ,Soret-driven thermo-solutal convection, J. Fluid Mech., 47(4) (1971),667-687.

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B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi. (2014). The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. American Journal of Applied Mathematics, 2(1), 1-7. https://doi.org/10.11648/j.ajam.20140201.11

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ACS Style

B. R. Sharma; R. N. Singh; Rupam Kr. Gogoi. The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. Am. J. Appl. Math. 2014, 2(1), 1-7. doi: 10.11648/j.ajam.20140201.11

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AMA Style

B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi. The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. Am J Appl Math. 2014;2(1):1-7. doi: 10.11648/j.ajam.20140201.11

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@article{10.11648/j.ajam.20140201.11,
  author = {B. R. Sharma and R. N. Singh and Rupam Kr. Gogoi},
  title = {The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajam.20140201.11},
  url = {https://doi.org/10.11648/j.ajam.20140201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140201.11},
  abstract = {The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.},
 year = {2014}
}

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T1  - The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field
AU  - B. R. Sharma
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AB  - The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.
VL  - 2
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Author Information

B. R. Sharma

Dept.of Mathematics, Dibrugarh University, Dibrugarh-786004, India
R. N. Singh

Marwari Hindi High School, Jalukpara, Dibrugarh-786001, India
Rupam Kr. Gogoi

Dept. of Mathematics, Sibsagar College, Joysagar, Sivasagar-785665, India

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APA Style

B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi. (2014). The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. American Journal of Applied Mathematics, 2(1), 1-7. https://doi.org/10.11648/j.ajam.20140201.11

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ACS Style

B. R. Sharma; R. N. Singh; Rupam Kr. Gogoi. The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. Am. J. Appl. Math. 2014, 2(1), 1-7. doi: 10.11648/j.ajam.20140201.11

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AMA Style

B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi. The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field. Am J Appl Math. 2014;2(1):1-7. doi: 10.11648/j.ajam.20140201.11

Copy | Download

@article{10.11648/j.ajam.20140201.11,
  author = {B. R. Sharma and R. N. Singh and Rupam Kr. Gogoi},
  title = {The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajam.20140201.11},
  url = {https://doi.org/10.11648/j.ajam.20140201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140201.11},
  abstract = {The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field
AU  - B. R. Sharma
AU  - R. N. Singh
AU  - Rupam Kr. Gogoi
Y1  - 2014/02/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140201.11
DO  - 10.11648/j.ajam.20140201.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140201.11
AB  - The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimensional parameters viz, the baro-diffusion number, the Soret number, the product of Prandtl number and Eckert number, the Hartmann number, the electric parameter and the Magnetic Reynolds number affects the species separation significantly. The inclination of the channel has adverse effect on the rate of species separation while the intensity of the applied magnetic field enhanced the same.
VL  - 2
IS  - 1
ER  -

Copy | Download