Department of Mathematics and Statistics, College of Science Sultan Qaboos University, PO Box 36, Al-Khod 123, Muscat, Sultanate of Oman.
*E-mail: antonp@squ.edu.om
**E-mail: hamdi@squ.edu.om
2000 Mathematics Subject Classification: 76F25, 76R99, 92F05
Beach profiles are changing as a result of erosion and coastal sediment transport. By modeling the seabed depth profile as the power functions of distance from the beach, the effect of beach erosion upon dispersing the outfall steady discharges plume is investigated. As the erosion increases the concentration levels at the beach, a formula to estimate the near-shore outfall extension that minimizes the impact of disposing effluents into the sea is given.
Advection-diffusion equation, beach erosion, steady discharge plumes, sea outfall