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In this communication we have used Bickley’s method for the construction of a sixth order spline function and apply it to solve the linear fifth order differential equations of the form yx(x)+g (x)y(x)= r(x) where g(x) and r(x) are given functions with the two different problems of different boundary conditions. The method is illustrated by applying it to solve some problems to demonstrate the application of the methods discussed.
The γ-ray densitometer has been designed and fabricated in our laboratory and carried out studies on temperature dependent γ-ray attenuation and thermo physical properties of NaCl, NaBr and NaF. The linear attenuation coefficients (μl) for the pellets of NaCl, NaBr and NaF as a function of temperature have been determined. The coefficients of temperature dependence of density have been reported. The variation of density and thermal expansion of NaCl, NaBr and NaF in the temperature range of 300 K - 1000 K have been studied and compared with results available in the literature. The temperature dependence of density and thermal expansion has been represented by linear equations. Volume thermal expansion coefficients have been reported.
The gamma quanta attenuation studies have been carried out to determine mass attenuation coefficients of 7041, 7075 and 7095 wrought aluminum alloys. The temperature dependence of linear attenuation coefficient, density and thermal expansion of these wrought aluminum alloys in the temperature range 300 K - 850 K have been reported. The measurements were done by using a gamma ray densitometer designed and fabricated in our laboratory. The data on variation of density and linear thermal expansion with temperature have been represented by linear equations. Volume thermal expansion coefficients have been reported.
The numerical modeling for the cool
water outfall discharge from the LNG Plant is undertaken using CORMIX to evaluate
the design of diffuser for discharge. The hydrodynamic data tide and currents
are used inputs to the model. It is then calibrated using monitored data. The software has been
run to calculate the mixing zone and dilution patterns for various flow conditions.
Model result shows that ambient condition is achieved within 64 m from the proposed outfall
locations. From the results of the modeling studies it can be concluded that
the proposed diffuser design and outfall locations are suitable for all tide
conditions. It also shows that there is no significant impact on the marine
life due to the proposed cool water discharge, beyond the small area around the
discharge location, as the parameters are attaining near ambient water quality within the
acceptable space and time.