Two-Phase Laminar Wall Jet Flow With Electrification of Particles

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2016 by IJETT Journal
Volume-42 Number-9
Year of Publication : 2016
Authors : Pradeep Kumar Tripathy, Tumbanath Samantara, Saroj Kumar Mishra
DOI :  10.14445/22315381/IJETT-V42P282

Citation 

Pradeep Kumar Tripathy, Tumbanath Samantara, Saroj Kumar Mishra "Two-Phase Laminar Wall Jet Flow With Electrification of Particles", International Journal of Engineering Trends and Technology (IJETT), V42(9),478-482 December 2016. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

Abstract
A laminar two-phase incompressible boundary layer flow through a wall jet has been investigated with electrification and Brownian diffusion of particles. The particles are charged even after in the absence of external electric field due to particle-particle and particle-wall interaction. Schlichting perturbed model is applied to find the momentum boundary layer solution of mean as well as perturbed flow. The solution of momentum mean fluid flow is obtained analytically. The other flow profiles are solved by using finite difference technique with non-uniform grid to analyze in terms of graphs.

 References

[1] A.N. Osiptsov , “Mathematical modeling of dusty-gas boundary layer”, Applied Mechanics Reviews, Vol.50, No.6, pp: 357-370, 1997.
[2] A.Pozzi., and A.Bianchini., “Linearized Solutions for plane Jets” ,ZAMM,Vol- 52, pp-523-528,1972.
[3] G.Palani & P.Ganesan, “Heat transfer effects on dusty-gas flow past a semi-infinite inclined plate”,Forschung im Ingenieurwesen, Vol-70,(3-4)pp-223, 2007.
[4] H .Schlichting ,“Boundary Layer Theory”,7th edition;pp-578-583 ,1968.
[5] I.I. Rhyming, “on plane, laminar two-phase jet flow”, Acta Mechnica,Vol-11:pp-117-140,1971.
[6] J.L Bansal and S.S Tak, “Approximate Solutions of Heat and Momentum Transfer in Laminar Plane wall Jet” .Appl.Sci.Res vol-34, pp-299-312,1978.
[7] J.L Bansal, “Jets of conductive fluids in the presence of a transverse magnetic field”,ZAMP, Vol-55:pp.479-489, 1975.
[8] K.Rietema and H.E.A van der Akker, “ On the momentum equations in the dispersed two-phase system”, International Journal of Multiphase Flow, Vol-9(1),pp-31-36,1983.
[9] L.Xie,G.Li,N.Bao and Jun Zhou. “Contact electrification by Collision of homogeneous Particles”, Journal of Applied Physics,Vol-113,184908,2013.
[10] P.G. Saffmann, “The lift on small sphere in a slow shear flow”, Journal of Fluid Mechanics, Vol.22, No. 2, pp:385-400, 1965.
[11] P.K. Tripathy & S.K. Mishra, “Two-phase thermal boundary layer flow”, International Journal of Engineering Research & Technology, Vol.1, No. 8, pp:1-10, 2012.
[12] P.K. Tripathy, A.R. Sahu & S,K, Mishra, “Numerical simulation of forced convection two-phase flow over an adiabatic plate”, International Journal of Mathematical Sciences, Vol.33, No.1, pp: 1154-1159, 2012.
[13] P.K. Tripathy, S.S. Bishoyi & S.K. Mishra., “Numerical investigation of two-phase flow over a wedge”, International Journal of Numerical methods and Applications, Vol.8, No.1, pp: 45-62., 2012.
[14] S.K. Misra and P.K.Tripathy ,“Mathematical & Numerical Modeling of Two Phase Flow & Heat Transfer using non-uniform grid” “Far East J.Appl.Math,Vol-54,No-2:pp107-126,2011.
[15] S.L . Soo “Effect of electrification on the dynamics of a particulate system” I and EC Fund, 3:pp-75-80,1964.
[16] S.L. Soo, “Non-equilibrium fluid dynamics-laminar flow over a flat plate”, Journal of Applied Mathematics and Physics (ZAMP), Vol. 19, No. 4, pp: 545-563, 1968.
[17] T.C .Panda et.al ,“Discretisation Modeling of Laminar Circular Two Phase Jet Flow and Heat Transfer”International Journal of Numerical Methods and Applications,Vol-8,Number-1, pp-23-43, 2012.
[18] T.C. Panda ,S.K.Mishra & D.K. Dash,” Modeling Dispersion of Suspended Particulate Matter (SPM) in Axi-Symmetric mixing (compressible)”, Far East J.Appl.Math,Vol-20,Number-3:pp289-304,2005.
[19] T.C. Panda, S.K.Mishra & D.K. Dash,” Effect of volume fraction in axi-symmetric jet mixing”, Acta Ciencia Indica, Vol-31M(2),pp-449-456,2005.
[20] S.L. Soo, “Laminar and separated flow of a particulate suspension”, Astronautica Acta, Vol.11, No. 6, pp:422-43, 1965

Keywords
—Two-phase flow, Momentum boundary layer, electrification of particles, Wall Jet, Brownian diffusion, Non-uniform grid.