Flow and Heat Transfer in a Laminar Two Phase Plane Wall Jet

T.N.Samantara; S.K.Mishra; T.C.Panda

doi:https://doi.org/10.14445/22315381/IJETT-V4I8P133

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Volume 4 | Issue 8 | Year 2013 | Article Id. IJETT-V4I8P133 | DOI : https://doi.org/10.14445/22315381/IJETT-V4I8P133

Flow and Heat Transfer in a Laminar Two Phase Plane Wall Jet

T.N.Samantara , S.K.Mishra , T.C.Panda

Citation :

T.N.Samantara , S.K.Mishra , T.C.Panda, "Flow and Heat Transfer in a Laminar Two Phase Plane Wall Jet," International Journal of Engineering Trends and Technology (IJETT), vol. 4, no. 8, pp. 3434-3447, 2013. Crossref, https://doi.org/10.14445/22315381/IJETT-V4I8P133

Abstract

Laminar mixing of a two - dimensional plane wall jet of particulate suspension in an incompressible carrier fluid has been considered. The basic equations are of the boundary layer type and include the diffusion equation for sub micron particles to investiga te the flow field. The drag force due to slip, finite volume fraction ,heat due to conduction and viscous dissipation in the particle phase energy equation have been introduced to study their effect on skin friction & heat transfer. The governing equations are solved by taking perturbations on Schlirchting’s model. Again, the effects of Prandtle number ,Eckrt number, Nusselt number, size of the particle s ,Material density of the particle s and diffusion parameter s on the velocity and temperature field for both phases have shown through figures and tables . It is observed that Nusselt number always increases with the increase of the above parameters, and heat always transform from fluid to plate in all the cases.

Keywords

Volume Fraction, Suspended Particulate Matter(SPM), Skin Friction, Heat Transfer

References

1. Bansal J.L. and Tak S.S. , “On the Compressible Laminar Walljet” ,Indian j.pure and applied Math, 10(12):1469 - 1483, Dec - 1979
2. Bansal J.L. and Tak S.S., “Approximate Solutions of Heat and Momentum Transfer in Laminar Plane wall Jet” .Appl.Sci.Res 34,1978 pp - 299 - 312
3. Melville W.K. and Bray K.N.C, “The Two Phase Turbulent jet” .Int.J.Heat Mass Transfer,22; 279 - 287, (1979)
4. Melville W.K. and Bray K.N.C, “A Model of the Two Phase Turbulent jet” .Int.J.Heat Mass Transfer,22; 647 - 656, (1979)
5. Misra.S.K and Tripathy P.K ,“Mathematical & Numerical Modeling of t wo phase flow & heat transfer using non - uniform grid “Far East J.Appl.Math,54(2):107 - 126(2011)
6. Panda T.C et.al , “ Discretisation Modeling Of Laminar Circular Two Phase Jet Flow and Heat Transfer”Int.j.Numerical Methods and Applications, Vol - 8 Number - 1,201 2 pp - 23 - 43
7. Panda T.C, Mishra. S.K, and Dash. D.K, ”Modeling Dispersion of Suspended Particulate matter (SPM) in axi - Symmetric mixing(compressible)”, Far East J.Appl.Math,20(3): 289 - 304 (2005)
8. Panda T.C, Mishra. S.K. and Dash.D.K., ” Modeling Dispersion of Suspended Particulate matter (SPM) in axi - Symmetric mixing (Incompressible)”,Achraya Nagarjuna int.j.of.Math & Information Technology(ANIJMIT),2:10 - 27(2005)
9. Pozzi. A. and Bianchini.A, “Linearized Solutions for plane Jets” , ZAMM 52, 523 - 528(1972)
10. Rhyming I .I, ”on plane, laminar two - phase jet flow “ Acta Mechnica,11:117 - 140,[1971]
11. Schlichting .H, “Boundary Layer Theory’ , 7 th edition; 578 - 583 (1968