The week's pick
Random Articles
Reseach Article
Effect of Radial Magnetic Field and Temperature Gradient on Separation of Components of a Binary Fluid Mixture Confined in an Annular Region
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 83 - Number 5 |
| Year of Publication: 2013 |
| Authors: Bishwaram Sharma, Ram Niroj Singh, Rupam Kr. Gogoi |
10.5120/14446-2607
|
Bishwaram Sharma, Ram Niroj Singh, Rupam Kr. Gogoi . Effect of Radial Magnetic Field and Temperature Gradient on Separation of Components of a Binary Fluid Mixture Confined in an Annular Region. International Journal of Computer Applications. 83, 5 ( December 2013), 30-35. DOI=10.5120/14446-2607
Abstract
The effect of a radial magnetic field on separation of a binary mixture of incompressible viscous thermally and electrically conducting fluids confined between two concentric cylinders in which the inner is rotating with a uniform angular velocity and having a uniform suction of the mixture with a constant velocity and outer is at rest. The equations governing the motion, temperature and concentration in cylindrical polar co-ordinate are solved analytically. The solution obtained in closed form for concentration distribution is plotted against the radial distances from the surface of the inner cylinder for various values of non-dimensional parameters viz. The Hartmann number, thermal diffusion number, baro diffusion number, suction Reynolds number, the product of Pradtl number and Eckert number, the product of Schmidt number and suction Reynolds number and the suction parameters affects the species separation of rarer and lighter component significantly.
References
- Liu, V. C. 9 (1959), On the separation of gas mixture by suction of thermo diffusion boundary layer, Quart. J. Mech. And appl. Math. 12, 1-13
- Hurle, D. T. J. and Jakeman, E. (1969), Significance of the sorret-effect in the Rayleigh-Jefferey's problem,Phys. Fluids, 12, 2704
- Landau LD, Lifshitz EM ( 1960) Electrodynamics of Continuous Media. Pergamon Press, New York
- De Groot SR, Mazur P, Mazur S (1962) Non – Equilibrium Thermodynamics. North Holland Publishing Co, Amsterdam
- Srivastava, A. C. (1992), The effect of rotation and a temperature gradient on the diffusion in a binary mixture, ganita, 43, 163-170.
- Poots G (1961) Laminar Natural Convection Flow in Magneto – Hydrodyanamics. Int J Heat Mass Tranfs 3:1- 25
- Simon O (1953) an Analysis of Laminar Free Convection Heat Transfer about a Flat Plate Parralle to Direction of the Generating Body Force. N. S. S. A. Rep
- Sarma GSR (1975) Barodiffusion in a Roatating Binary Mixture over an infinite Rotating disk. Z Angew Math Phys 26:337- 345
- Sharma BR, Hazarika GC(2002) Baro- diffusion and Thermal – diffusion in a Binary Mixture. Nepali Math Sci Report 20(1-2):65-73
- Sharma BR (2003) Baro – diffusion and Thermal diffusion in a Binary Mixture of Electrically Conducting Incompressible Fluids due to Rotation of a Circular Cylinder. Bull Pure Appl Sci 22( E1):79-87
- Sharma BR(2004) Pressure- diffusion and Soret Effect in a Binary Fluid mixture. Bull Pure Appl Sci 23(E1):165-173
- Sharma BR, Shah NA (1996) Baro- diffusion and Thermal – diffusion in a Binary Mixture. J Math Phy Sci 30(4):169-179
- Sharma BR,Gogoi RK (2000) The Effect Curvature of a Curved Annulus on Seperation of a Binary Mixture. In: Proceeding of the 46th annual technical session, Assam science Society, pp 81-89
- Sharma BR, Singh RN (2004) Soret Effect in Generalized MHD Couette Flow of a Binary Mixture. Bull Cal Math Soc 96(5):367-374
- Sharma BR, Singh RN (2003) The Effect of Inclination of a Channel on Seperation of a Binary Mixture of Viscous Incompressible Thermally and Electrically conducting fluids. Proc ISTAM 48:36-43
- Sharma BR, Shah NA(2002) the effect of pressure gradient and teperature gradient on seperation of a binary mixture of incompressible viscous fluids filling the space outside a uniformly rotating cylinder. In: Proceeding of the 47th annual technical session,vol. 3. Assam Science Society,pp 72-81
- Sparrow EM, Cess RD (1961) The effect of a magnetic field on free convection heat transfer. Int J Heat Mass Transf 3:267-274
- Srivastava AC (1985) Barodiffusion in a binary mixture near a stagnation point. Nepali Math Sci Report 10(2):53-62
- Srivastava AC(1999)Separation of a binary mixture of viscous fluids by thermal diffusion near a stagnation point. Ganit 50(2):129-134
- Srivastava AC (1999) Historical development of fluid dynamicsand mass diffusion in a binary mixture of viscous fluids. Math Stud 68( 1-4):73-85
- Srivastava AC ( 1991) seperation of binary mixture in a viscous fluid due to rotating heated sphere . Bull GUMA 6:63-72
- Srivastava PK(2003) A study of flow of two component fluids , its heat transfer. Ph. D. Thesis, University of Lucknow, Lucknow, India
- Globe,S. (1959), Laminar steady state magnetohydrodynamics flow in an annular channel. Phys Fluids 2:404 – 407
- Landau L. D, Lifshitz EM (1959) Fluid Mechanics,2nd edn. Pergamon Press, London
- Srivastava AC (1979) Barodiffusion in a binary mixture confined between two disk. Math Forum 2 (2): 16-21
- Sharma BR, Hazarika GC, Singh RN (2006) Influence of magnetic field on seperation of a binary mixture in free convection flow considering Soret effect. J natl Acad Math 20:1-20
- Sharma BR, Singh RN (2007) Soret effect in natural convection between heated vertical plates in a horizontal magnetic field. J ultra Sci Phy Sci 19 (1)M:97-106
- Sharma BR, Singh RN ( 2008) Baro – diffussion and thermal – diffusionin a binary fluid mixture confined between two parallel discs in presence of an small axial magnetic field. Latin Am Appl Res 38:313 – 320
- Sharma BR, Singh RN ( 2009) Thermal diffusion in a binary fluid mixture confined between two concentric circular cylinders in presence of radial magnetic field. J Energy Heat Mass Transfer 31:27 – 38
- Sharma BR, Singh RN ( 2009) Baro – diffussion and Thermal – diffusionin a Binary Fluid Mixture Confined in an Inclined Channel in Presence of a Weak Magnetic Field. Proc Natl Acad Sci India 79 ( AIII): 273-278
- Hurle DT, Jakeman E (1971) Soret – Driven Thermo Solutal Convection. J Fluid Mech 47 (4): 667-687
- Sarma GSR ( 1973) Barodiffusion in a Binary Mixture at a Rotating Disk. Z Angew Math Phys 24:789 – 800.
- Sharma B R, Singh R N (2010) Separation of species of a binary fluid mixture confined between two concentric rotating circular cylinders in presence of a strong radial magnetic field. Heat Mass Transfer 46:769-777.
Index Terms
Keywords