Modelling of Two Phase Flow over a Stretching Sheet with Analysis of Boundary Layer Flow and Heat Transfer Characteristics

Aswin Kumar Rauta

doi:https://doi.org/10.14445/22315373/IJMTT-V41P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 2 | Year 2017 | Article Id. IJMTT-V41P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P519

Modelling of Two Phase Flow over a Stretching Sheet with Analysis of Boundary Layer Flow and Heat Transfer Characteristics

Aswin Kumar Rauta

Citation :

Aswin Kumar Rauta, "Modelling of Two Phase Flow over a Stretching Sheet with Analysis of Boundary Layer Flow and Heat Transfer Characteristics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 2, pp. 195-204, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P519

Abstract

The steady boundary layer incompressible fluid (gas) with suspended particulate matter (SPM) over a stretching sheet has been investigated. The random motion of particles, electrification of particles, heat due to conduction and viscous dissipation for both fluid as well as particle phases have taken into consideration. The governing partial differential equations have reduced to a set of non-linear ordinary differential equations with the help of similarity transformations and solved numerically by using Runge-Kutta 4th order method adopting shooting technique. The effect of various parameters such as electrification parameter, Prandtl number, Eckert number, volume fraction, diffusion parameter and fluid-particle interactions parameter on the normalized velocity and the temperature of both phases have been analyzed and interpreted graphically. The effects of different parameters on the skin friction coefficient and Nusselt number also have tabulated. The comparisons of the present results are found to be an excellent agreement with the existing literature. It is worthy to note that, the electrification of particles enhance the temperature of the particle phase. Further it is also interpreted that, the negative value of skin friction coefficient indicates the solid surface exerts a drag force on the fluid.

Keywords

Electrification of particles, Diffusion parameter, Fluid–Particle interaction parameter, Shooting techniques, Stretching sheet, Volume fraction.

References

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