Numerical Study of Magnetohydrodynamic Flow of Dusty Fluid Through Different Channels
DOI:
https://doi.org/10.26713/cma.v12i4.1593Keywords:
Channel, Magnetic parameter, Laplace transform, Dusty gas, Dust particlesAbstract
In this paper, Magnetohydrodynamic (MHD) flow through various channels such as rectangular, hexagonal, octagonal, decagonal, dodecagonal, and tetradecagonal channels of dusty gas and dust particles has been analyzed under the influence of magnetic field parameters and time. Numerical values of the velocity of dust particles and gas were calculated using Laplace transform for a non-dimensional equation. It is observed that for a given value of the magnetic parameter, the velocity of gas and dust particles decreases increases alternately as we move from one channel to another channel and found that for a particular channel, the velocity of gas and dust particles decreases as the value of magnetic field parameter increases. It is also observed that for a given value of the magnetic parameter, the velocity of gas and the velocity of dust particles increase with time. The velocity of dust particles is less than the velocity of the gas.
Downloads
References
M. Chutia and P. N. Deka, A numerical investigation on manetohydrodynamic flow in a rectangular duct with strong transverse magnetic field and moving insulating walls, 113 – 118, in: Proceedings of International Conference on Frontiers in Mathematics 2015 (ICFM 2015), March 26-28, 2015, Gauhati University, Guwahati, Assam, India, ISBN 978-81-928118-9-5.
R. K. Gupta and S. C. Gupta, Flow of a dusty gas through a channel with arbitrary time varying pressure gradient, Zeitschrift für angewandte Mathematik und Physik ZAMP 27(1976), 119 – 125, DOI: 10.1007/BF01595248.
M. H. Hamdan, D. C. Roach, R. Silva-Zea, R. Erazo-Bone, F. Chuchuca-Aguliar and K. Escobar-Segovia, On the flow of a dusty gas through a channel over a porous layer saturated with a dusty gas, IOSR Journal of Engineering 10(9) (2020), 35 – 44.
G. Kalpana and K. R. Madhura, Computational study on heat transfer of MHD dusty fluid flow under variable viscosity and variable pressure down an inclined irregular porous channel, International Journal of Engineering Technology and Advanced Engineering 7(11) (2017), 358 – 369.
M. Lal and S. Agarwal, Unsteady flow of a dusty gas through a horizontal pipe with time varying pressure gradient, International Journal of Engineering and Advaned Technology 9 (2019), 627 – 631, URL: https://www.ijitee.org/wp-content/uploads/papers/v9i3/C8012019320.pdf.
K. R. Madhura and D. S. Swetha, Flow of an unsteady dusty fluid through hexagonal channel in presence of porous medium, International Journal of Applied Mathematics and Statistics 52 (2014), 107 – 134.
K. R. Madhura and D. S. Swetha, Influence of volume fraction of dust particles on dusty fluid flow through porous rectangular channel, International Journal of Mathematics Trends and Technology 50(5) (2017), 261 – 275, DOI: 10.14445/22315373/IJMTT-V50P543.
K. R. Madhura, D. S. Swetha and S. S. Iyengar, The impact of Beltrami effect on dusty fluid flow through hexagonal channel in presence of porous medium, Applied Mathematics and Computation 313 (2017), 342 – 354, DOI: 10.1016/j.amc.2017.06.016.
S. V. Manuilovich, Dusty-gas flow in a channel with horizontalwalls, Fluid Dynamics 47 (2012), 84 – 100, DOI: 10.1134/S0015462812010097.
P. Sharma and C. L. Varshney, Thermal dispersion effect on MHD flow of dusty gas and dust particles through hexagonal channel, International Journal of Heat and Mass Transfer 46 (2003), 2511 – 2514, DOI: 10.1016/S0017-9310(02)00503-3.
H. C. Sharma and M. Gupta, MHD flow of a dusty gas through a hexagonal channel, Current Science Association 53 (1984), 1195 – 1197.
D. Sharma, G. C. Hazarika and P. N. Deka, Numerical study of liquid metal flow through a square duct under the action of strong transverse magnetic field, International Journal of Computer Applications 71(8) (2013), 29 – 32, DOI: 10.5120/12380-8729.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.