Indian Journal of Science and Technology
DOI: 10.17485/ijst/2017/v10i15/71242
Year: 2017, Volume: 10, Issue: 15, Pages: 1-5
Original Article
J. Venetis*
Department of Applied Mathematics and Physical Sciences, National Technical University of Athens (NTUA), Zografou Campus 9, Iroon Polytechniou street, Zografou – 15780, Greece; [email protected]
*Author for correspondence
J. Venetis
Department of Applied Mathematics and Physical Sciences, National Technical University of Athens (NTUA), Zografou Campus 9, Iroon Polytechniou street, Zografou – 15780, Greece; [email protected]
A continuation of our ongoing investigation into Joule – Thomson inversion curves for van der Waals gas, is performed from a mathematical viewpoint. The methodology basis of our analysis is the quadratic polynomial theory. In this context, focusing on the parametric equation of inversion curves in a P – V frame of reference we obtain a qualitative illustration of variables T, V by means of two inequality relations. However, we should elucidate that these inequalities are valid only for the intersection points between the family of Joule – Thomson inversion curves and the isothermal spinodal lines, provided that they are both sketched in a common P – V coordinate system. The mathematical treatment of the parametric equation of these curves has been carried out in a rigorous manner and no further restriction is introduced for the variables T, V. Thus, the proposed inequalities have a wider range of validity when compared with those that had been previously presented by the author and therefore their possible applications to P – V – T surfaces of van der Waals gas, are also wider.
Keywords: J – T Inversion Curves, P – V System, Quadratic Polynomial, Spinodal Lines, Van Der Waals Gas
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