International Journal of Mathematics Trends and Technology
Volume 66 | Issue 8 | Year 2020 | Article Id. IJMTT-V66I8P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I8P512
Blockage of a sludge tunnel as a closed drainage is a major problem in transportation processes. Debris may get clogged up by residues as sedimentary built-up at any location along the tunnel. The clogged up process if not detected early, will eventually lead to partial blockage or total blockage which will result to economic waste as well as environmental health hazard; hence the urgency for early blockage detection at any location of the tunnel. We have shown in this paper that the classical wave equation has the potential for capturing partial blockage phenomenon along a sludge tunnel. Also, we explore the dynamics of sonic wave to detect the presence of any obstruction at any point in the tunnel. Furthermore, we constructed a system of eigen-value equation that admits the spectrum of polychromatic waves whose components are high frequency oscillations propagating along both the upstream and downstream of the tunnel and any blockage encountered will cause a reversal of mode and phase that can be detected by any instrument susceptible to waveguides
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Orukari, M. A., Zuonaki Ongodiebi, "A Flow Model For The Detection of Obstruction Along a Sludge Tunnel," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 8, pp. 115-122, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I8P512
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