DOI QR코드

DOI QR Code

EFFECT OF MAGNETIC FIELD ON LONGITUDINAL FLUID VELOCITY OF INCOMPRESSIBLE DUSTY FLUID

  • N. JAGANNADHAM (GIET University) ;
  • B.K. RATH (Department of Mathematics, GIET University) ;
  • D.K. DASH (Department of Mathematics, CCET)
  • Received : 2022.06.28
  • Accepted : 2022.11.17
  • Published : 2023.03.30

Abstract

The effects of longitudinal velocity dusty fluid flow in a weak magnetic field are investigated in this paper. An external uniform magnetic field parallel to the flow of dusty fluid influences the flow of dusty fluid. Besides that, the problem under investigation is completely defined in terms of identifying parameters such as longitudinal velocity (u), Hartmann number (M), dust particle interactions β, stock resistance γ, Reynolds number (Re) and magnetic Reynolds number (Rm). While using suitable transformations of resemblance, The governing partial differential equations are transformed into a system of ordinary differential equations. The Hankel Transformation is used to solve these equations numerically. The effects of representing parameters on the fluid phase and particle phase velocity flow are investigated in this analysis. The magnitude of the fluid particle is reduced significantly. The result indicates the magnitude of the particle reduced significantly. Although some of our numerical solutions agree with some of the available results in the literature review, other results differs because of the effect of the introduced magnetic field.

Keywords

Acknowledgement

One of the authors(N Jagannadham)is thankful to Dr.Srinivas, Associate Professor, SR University, Warangal for fruitful discussion in the result of manuscript.

References

  1. B.K. Rath, P.K. Mahapatra and D.K. Dash, Effect of Volume Fraction along with concentration parameter in the dusty incompressible fluid, Adv. Appl. Fluid. Mech. 20 (2017), 117-125. https://doi.org/10.17654/FM020010117
  2. T.C. Panda, S.K. Mishra and K.C. Panda, Volume fraction and diffusion analysis in SPM modeling in an inertial frame of reference, Acta Ciencia Indica. XXVIIM (2001), 115.
  3. T.C. Panda, S.K. Mishra and K.C. Panda, Diffusion of suspended particulate matter using two-phase flow model, Int. J. for Numerical Methods in Fluids, New York, 2002.
  4. E.M. Purcell, The effect of fluid motions on the absorption of molecules by suspended particles, J. Fluid Mech. 84 (1978), 551-559. https://doi.org/10.1017/S0022112078000324
  5. T.C. Panda, S.K. Mishra and K.C. Panda, Modeling Dispersion of SPM in free convection flows in the vicinity of heated horizontal flat plate, Impact J. Sci. Tech. 1 (2006), 37-60.
  6. B.K. Rath, G.K. Behera and D.K. Dash, Solution of Longitudinal velocity of the fluid and the particle of he dusty fluid with the effect of volume fraction in the incompressible fluid of SPM, Adv. Appl. Fluid. Mech. 18 (2015), 155-162.
  7. N. Dutta and S.K. Das, axially symmetrical jet mixing of an incompressible dusty fluid, Acta Mechanica 55 (1985), 111-122. https://doi.org/10.1007/BF01267984
  8. N. Dutta and S.K. Das, Note on axis-symmetric jet mixing of compressible dusty fluid, Acta Mechanica 86 (1988), 103-109. https://doi.org/10.1007/BF01175952
  9. M. Gupta and H.S. Sharma, unsteady flow of a dusty viscous fluid through confocal elliptical ducts in presence of transverse magnetic field, Proc. 23rd ISTAM Congress, 2010, 275-284.
  10. T.C. Panda, S.K. Mishra and K.C. Panda, Induced flow of suspended particulate matter (SPM) due to time dependent horizontally oscillating plate, Acta Ciencia Indica 27M (2016), 233-239.
  11. S.L. Gupta V. Kumar and S.P. Singh, Electrodynamics (Electricity and Magnetism), Pragati Prakashan, Eighth Edition, acta ciencia indica, 2019, p.16.
  12. R.K. Gupta and S.C. Gupta, Flow of a dusty gas through a channel with time varying pressure gradient, Z.A.M.P. 27 (1976), 119-125.
  13. J.D. Goddard, A review of recent developments in the constitutive theory of particulate dispersions, Continuum Models of discrete systems, Univ. of Waterloo Press, Part V, 2017, 605-633.
  14. A.S. Gupta, Effect of suspended particles on the Ekmann boundary layer, Analele Universitatii, Bucuresti, Mathematica, Anul-XXVI, 2011, 45-52.
  15. S.L. Soo, Effect of electrification on the dynamics of a particulate system, I. and E.C. Fund. 3 (1964), 75-80. https://doi.org/10.1021/i160009a013