Numerical Analysis and Steam-Tunnel Tests of Transonic Flows through a SteamTurbine Cascade

Tadashi Tanuma, Satoru Yamamoto, Takashi Ikeda, Hisaaki Daiguji

Research output: Contribution to journalArticlepeer-review


An implicit time-marching finite-difference method for solving two-dimensional compressible Navier-Stokes equations is applied to the numerical analysis of transonic viscous flows through a steam turbine cascade. The distinctive feature of this method is its use of the momentum equations of contravariant velocity components. A high-order accurate difference scheme modified from the Chakravarthy-Osher TVD scheme is used in order to clearly capture shock waves which occur at the blade trailing edges. Steam-tunnel tests to measure losses of a linear cascade of transonic steam turbine blades are carried out in order to verify the effectiveness of the numerical method. Computed shock wave structures agree well with Schlieren photographs of the cascade tests. The agreement between the computed results and the measurements of total pressure loss coefficients and those of total pressure profiles in the blade wakes is also found to be reasonable.

Original languageEnglish
Pages (from-to)3330-3335
Number of pages6
JournalNihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Issue number555
Publication statusPublished - 1992


  • Cascade Flow
  • Finite Difference Method
  • Numerical Analysis
  • Steam Turbine
  • Transonic Flow
  • TVD Scheme


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