International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 11 No. 1or Keyword in Title:
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Table of Content for Vol. 11 No. 1, 2014

Generating Exact Solutions of Two-Dimensional Incompressible Navier-Stokes Equations
Muhammad Abul Kalam Azad (Ph.D student), Professor Dr. Laek Sazzad Andallah
      
 PP. 1 - 12
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ABSTRACT: This paper investigates exact solutions of two dimensional incompressible Navier-Stokes equations (2D NSEs) for a time dependent pressure gradient term using Orlowski and Sobczyk transformation (OST) and Cole-Hopf transformation (CHT).Separation of variables method is applied to find the solutions of 2D heat equation.


Mathematical Modelling of Depletion of Different Storage Vessels of Drinking Water by the Formation of Heavy Toxic Metals in the Drinking Water
Ogunmola, Oyewole Adeniyi and Ogbaji Eka Oche
      
 PP. 13 - 23
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ABSTRACT: Deterministic model was used to determine the depletion of water storage vessels dissolving in the stored water of pH value of 6.6. Stability analysis was carried out and it showed that there is instability in the depletion of the vessels. The numerical analysis showed that the depletion is in the form of negative exponential curve. Metal Vessel depletes the most at all levels of concentration of the input of toxic metal values, followed by earthen vessel, then Cement Reservoir and the least is Plastic vessel. Negative exponential curve well fits the generated data for each level of concentration of the input toxic metal values for each vessel. The estimated rates of depletion of vessel at each level for each vessel are also significant. The estimated rate of depletion of metal vessel is the highest, followed by the estimated rate of depletion of earthen vessel. The least estimated rate of depletion among the four vessels is plastic.