Rapid growth and population increase in urban centers has led to unplanned and rushed construction of buildings and amenities. This has led to poor development of sewer intakes from the buildings to the main sewer line. Therefore sewer blockage and low velocity of the sludge have been witnessed. The aim of this study is to investigate on how to achieve a maximum discharge of the lateral pipes into the main sewer line both from buildings and service (streets) sewer lines. This is achieved when sewerage system discharge is determined by the size of the sewer pipe used, effective inflow into the main sewer (linkages), slope (excavation depth) and distance between manhole. The governing equations for the flow are equation of continuity, momentum equations, energy equation and concentration equation. The nonlinear partial differential equations are transformed to ordinary differential equations , then solved numerically using the Collocation Method using an inbuilt MATLAB library known as Bvp4c. Velocity profiles, temperature profiles and the concentration profiles obtained are analyzed and discussed on how they affect the maximum discharge of sewer flow. Flow parameters are varied and their effect on the flow variables are determined and discussed. This study has remarkable applications in designing of the water, sanitation and sewer systems. This will reduce outbreak of diseases such as cholera, typhoid and enhance clean water and environment.
| Published in | Applied and Computational Mathematics (Volume 14, Issue 1) |
| DOI | 10.11648/j.acm.20251401.11 |
| Page(s) | 1-11 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Lateral Discharge, Sewage, Thermophoresis, Non-Newtonian Fluid, Viscous Fluid Flow
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APA Style
Mwangi, R. W., Kinyanjui, M. N., Kiogora, P. R. (2025). Maximum Discharge of Lateral Pipes in Sewage Flow. Applied and Computational Mathematics, 14(1), 1-11. https://doi.org/10.11648/j.acm.20251401.11
ACS Style
Mwangi, R. W.; Kinyanjui, M. N.; Kiogora, P. R. Maximum Discharge of Lateral Pipes in Sewage Flow. Appl. Comput. Math. 2025, 14(1), 1-11. doi: 10.11648/j.acm.20251401.11
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Download@article{10.11648/j.acm.20251401.11,
author = {Reuben Wambugu Mwangi and Mathew Ngugi Kinyanjui and Phineas Roy Kiogora},
title = {Maximum Discharge of Lateral Pipes in Sewage Flow},
journal = {Applied and Computational Mathematics},
volume = {14},
number = {1},
pages = {1-11},
doi = {10.11648/j.acm.20251401.11},
url = {https://doi.org/10.11648/j.acm.20251401.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20251401.11},
abstract = {Rapid growth and population increase in urban centers has led to unplanned and rushed construction of buildings and amenities. This has led to poor development of sewer intakes from the buildings to the main sewer line. Therefore sewer blockage and low velocity of the sludge have been witnessed. The aim of this study is to investigate on how to achieve a maximum discharge of the lateral pipes into the main sewer line both from buildings and service (streets) sewer lines. This is achieved when sewerage system discharge is determined by the size of the sewer pipe used, effective inflow into the main sewer (linkages), slope (excavation depth) and distance between manhole. The governing equations for the flow are equation of continuity, momentum equations, energy equation and concentration equation. The nonlinear partial differential equations are transformed to ordinary differential equations , then solved numerically using the Collocation Method using an inbuilt MATLAB library known as Bvp4c. Velocity profiles, temperature profiles and the concentration profiles obtained are analyzed and discussed on how they affect the maximum discharge of sewer flow. Flow parameters are varied and their effect on the flow variables are determined and discussed. This study has remarkable applications in designing of the water, sanitation and sewer systems. This will reduce outbreak of diseases such as cholera, typhoid and enhance clean water and environment.},
year = {2025}
}
TY - JOUR T1 - Maximum Discharge of Lateral Pipes in Sewage Flow AU - Reuben Wambugu Mwangi AU - Mathew Ngugi Kinyanjui AU - Phineas Roy Kiogora Y1 - 2025/01/02 PY - 2025 N1 - https://doi.org/10.11648/j.acm.20251401.11 DO - 10.11648/j.acm.20251401.11 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 1 EP - 11 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20251401.11 AB - Rapid growth and population increase in urban centers has led to unplanned and rushed construction of buildings and amenities. This has led to poor development of sewer intakes from the buildings to the main sewer line. Therefore sewer blockage and low velocity of the sludge have been witnessed. The aim of this study is to investigate on how to achieve a maximum discharge of the lateral pipes into the main sewer line both from buildings and service (streets) sewer lines. This is achieved when sewerage system discharge is determined by the size of the sewer pipe used, effective inflow into the main sewer (linkages), slope (excavation depth) and distance between manhole. The governing equations for the flow are equation of continuity, momentum equations, energy equation and concentration equation. The nonlinear partial differential equations are transformed to ordinary differential equations , then solved numerically using the Collocation Method using an inbuilt MATLAB library known as Bvp4c. Velocity profiles, temperature profiles and the concentration profiles obtained are analyzed and discussed on how they affect the maximum discharge of sewer flow. Flow parameters are varied and their effect on the flow variables are determined and discussed. This study has remarkable applications in designing of the water, sanitation and sewer systems. This will reduce outbreak of diseases such as cholera, typhoid and enhance clean water and environment. VL - 14 IS - 1 ER -
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
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