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
Volume 2, Issue 1, February 2014, Pages: 1-7
Received: Dec. 27, 2013; Published: Feb. 20, 2014
Views 2935      Downloads 135
Authors
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
Article Tools
PDF
Follow on us
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.
Keywords
Binary Mixture, Baro-Diffusion, Magnetic Field
To cite this article
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, American Journal of Applied Mathematics. Vol. 2, No. 1, 2014, pp. 1-7. doi: 10.11648/j.ajam.20140201.11
References
[1]
Arnikar HJ (1963) Essentials of Nuclear Chemistry. New age international ( P) limited, London
[2]
Rastogy RP, Nath N, Singh NB (1992) Modern Inorganic Chemistry.united Book Depot,allahbad, India
[3]
Srivastava AC (1992) Mass Diffusion in a Binary Mixture of Viscous Fluids. ProclNatlAcadSci69 (A2):103-117
[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
[8]
WHO Guidelines for Drinking WaterQuality (2004), Third Edition
[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
[15]
De Groff, H. M. (1956), Journal of Applied Sciences, Vol. 23, pp. 395-396.
[16]
Kapur, J. N. and Sukla, J. B. (1964), Applied Science Research, Section A, Vol. 8, pp. 55-60.
[17]
Shah, N. A. (1996), Ph. D. Thesis, Submitted to the Dibrugarh University, Dibrugarh, Assam, India
[18]
Jakeman, E.,Hurle, D. T. ,Soret-driven thermo-solutal convection, J. Fluid Mech., 47(4) (1971),667-687.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186