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Two-Phase Particulate Suspension Flow in Convergent and Divergent Channels: A Numerical Model

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Abstract

The problem dealing with the two-phase flow of particulate suspension in a converging diverging channel has been analyzed. The basic equations governing the flow are reduced to a set of ordinary differential equations by using the appropriate transformations for the velocity components. The numerical solutions are carried out using numerical technique and the results are presented graphically. The flow phenomena have been analyzed for different physical parameters, Reynolds number, cross flow Reynolds number, angle of the channel, ratios of densities fluid and particle phases and momentum inverse stokes number. The effects of parameters on the velocity of the fluid and the skin friction has been discussed.

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Abbreviations

Re :

Reynolds number

R:

Cross flow Reynolds number

\(r,\theta \) :

Polar coordinates

\(\alpha \) :

Angle of the channel

\(\upsilon \) :

Kinematic viscosity

\(\mu \) :

Coefficient of viscosity

\(\rho \) :

Density of the fluid

u :

Fluid phase velocity

\(u_p \) :

Particle phase velocity

L :

Ratio of the densities of the particle and fluid phase

\(\beta \) :

Momentum inverse stokes number

S:

Drag coefficient of the interaction for the force exerted by one face on the other

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Acknowledgements

One of the author Mallikarjuna thanks to BMS College of Engineering, Bangalore-19 for giving financial assistance and support through the TECHNICAL EDUCATION QUALITY IMPROVEMENT PROGRAMME [TEQIP-II] of the MHRD, Government of India.

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Authors and Affiliations

  1. Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore, Karnataka, 560054, India

    S. Ramprasad & S. H. C. V. Subba Bhatta

  2. Department of Mathematics, BMS College of Engineering, Bangalore, Karnataka, 560019, India

    B. Mallikarjuna

  3. Department of Mathematics, National Institute of Technology, Warangal, Telangana, 506004, India

    D. Srinivasacharya

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  1. S. Ramprasad
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  3. B. Mallikarjuna
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  4. D. Srinivasacharya
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Correspondence to B. Mallikarjuna.

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Ramprasad, S., Subba Bhatta, S.H.C.V., Mallikarjuna, B. et al. Two-Phase Particulate Suspension Flow in Convergent and Divergent Channels: A Numerical Model. Int. J. Appl. Comput. Math 3 (Suppl 1), 843–858 (2017). https://doi.org/10.1007/s40819-017-0386-5

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