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K is a function of T, P, and the composition of a given system. The K
            values most widely used are those developed by the National Gas
            Processors Association (NGPA) and are presented in Appendix A.
            Because the K values are designated for a specific convergence pressure
            (defined as the pressure at a given T, where the values of K for all
            component in a system become or tend to become equal to unity), it
            is important that the value of the operating pressure of the system
            should be below the convergence pressure used in predicting the K values.



            3.9.4  Some Important Applications for the Flash Equation

            In addition to the above, other applications for the flash equation are as
            follows:
                1.  To find the number of stages needed for a given separation: This
                    simply utilizes the stage-to-stage concept in which another stage
                    is added to each trial. Convergence is established when the liquid
                    composition leaving the last stage equals the specified crude oil.
                2.  To determine the optimum pressure for the second stage: This
                    involves a trial and error procedure [3].




            REFERENCES

            1. Bradley, H. B., Petroleum Engineering Handbook, Society of Petroleum
               Engineers, Richardson, TX, 1987.
            2. Maddox, R. N., Erbar, J. H., and A. Shariat, PDS Ducumentation, CPC, Inc.,
               Stillwater, OK, 1976.
            3. Abdel-Aal, H. K., Surface Petroleum Operations, Saudi Publishing &
               Distributing House, Jeddah, 1998.
            4. Arnold, K. and Stewart, M., Design of Oil Handling Systems and Facilities,
               Gulf Publishing Company, Houston, TX, Vol. I, 1989.
            5. Vonday, D., Spherical process vessels, Oil Gas J., 121–122, April 8, 1957.
            6. Chilingarian, G. V., Robertson, J. O. Jr., and Kumar, S., Surface Operations in
               Petroleum Production, I, Elsevier Science, Amsterdam, 1987.
            7. Whinery, K. F. and Campbell, J. M. A method for determining optimum
               second stage pressure in 3-stage separation, J. of Petrol. Technol. 4, 53–54,
               1958.
            8. Szilas, A. P., Production and Transportation of Oil and Gas, Elsevier Science,
               Amsterdam, 1975.
            9. Holland, C. D., Fundamentals of Multi component Distillation, McGraw–Hill,
               New York, 1981.






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