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Scholars Journal of Engineering and Technology | Volume-14 | Issue-05
New Relationship Derived for Area-Mach, Area-Deflection and Area-Pressure for a Fully Expanded Convergent-Divergent Nozzle
R. C. Mehta
Published: May 23, 2026 | 26 19
DOI: https://doi.org/10.36347/sjet.2026.v14i05.006
Pages: 247-254
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Abstract
Analytical solutions for supersonic flow inside a convergent-divergent nozzle are derived using quasi-one-dimensional isentropic flow equation. Differential equations are obtained and summed over infinitesimal contribution under a reversible adiabatic process. The area-Mach, the area-deflection, and the pressure-deflection relations are obtained employing a fully expanded supersonic nozzle. First time a constant of integration is found for the solution of the area-Mach relation and nomogram is drawn for easy analysis of a convergent-divergent nozzle.