الفهرس 
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Abstract
In this work, steady state mathematical models for both simple and
rigorous of Multistage Flash Brine Circulation (MSF-BC) desalination
process are presented. The model is based on basic principles of physics
and chemistry that describe the stages. It is based on the basic laws of mass
balance, energy balance, the heat transfer mechanism, and the thermophysical
properties variation of various fluids with temperature and
salinity. The rigorous mathematical model was solved by two methods
using MATLAB software; the first one is tri-diagonal matrix (TDM) and
the second one is Orthogonal collocation.
The market share of MSF is dropped from 62% of the total desalination
industry to nearly 30% because of its energy intensive requirements. So,
the integration of Parabolic Trough Solar Collector with MSF desalination
is progressively attractive. The study presented an economic evaluation for
providing feasibility and reliability conception to solve the energy
problem. Using parabolic trough collectors with MSF-BC desalination
will be economic in case the plant driven by fuel rather than natural gas.