Aerodynamics and Heat Transfer in a Turbine Blade at Design and Off-Design Angles of Incidence

2000 ◽  
Author(s):  
C. Xu ◽  
R. S. Amano
Keyword(s):  
Heat Transfer ◽  
Numerical Method ◽  
Turbine Blade ◽  
Finite Volume ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Rapid Convergence ◽  
Navier Stokes Equations ◽  
Study Results ◽  
Flux Difference

A novel numerical method was developed to deal with the studies of the aerodynamic and heat transfer of flow passing through blade cascades at both design and off-design conditions. The Navier-Stokes equations are discretized and integrated in a coupled manner in this study. The time-marching was achieved by using time integration approach in the present method. The flux terms are discretized based on a cell finite volume formulation as well as a flux-difference splitting. The flux-difference splitting can ensure the scheme with rapid convergence and the finite volume technique can ensure the equation for the conservation of mass, momentum and energy. A hybrid difference scheme for quasi-three-dimensional procedure based on the discretized and integrated Navier-Stokes equations as developed to study flow and heat transfer in turbine blade passages. The numerical method possesses the positive features of the explicit and implicit algorithms, providing a relatively rapid convergence process and having a less restricted stability constraint. The computed results were compared with other numerical study results and experiments and showed fairly good agreement.

Validation of a Numerical Method for Unsteady Flow Calculations

1993 ◽  
Vol 115 (1) ◽  
pp. 110-117 ◽  
Author(s):  
M. Giles ◽  
R. Haimes
Keyword(s):  
Heat Transfer ◽  
Flat Plate ◽  
Numerical Method ◽  
Stokes Equations ◽  
Companion Paper ◽  
Ideal Gas ◽  
Euler Method ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Loss Prediction

This paper describes and validates a numerical method for the calculation of unsteady inviscid and viscous flows. A companion paper compares experimental measurements of unsteady heat transfer on a transonic rotor with the corresponding computational results. The mathematical model is the Reynolds-averaged unsteady Navier–Stokes equations for a compressible ideal gas. Quasi-three-dimensionality is included through the use of a variable streamtube thickness. The numerical algorithm is unusual in two respects: (a) For reasons of efficiency and flexibility, it uses a hybrid Navier–Stokes/Euler method, and (b) to allow for the computation of stator/rotor combinations with arbitrary pitch ratio, a novel space–time coordinate transformation is used. Several test cases are presented to validate the performance of the computer program, UNSFLO. These include: (a) unsteady, inviscid flat plate cascade flows (b) steady and unsteady, viscous flat plate cascade flows, (c) steady turbine heat transfer and loss prediction. In the first two sets of cases comparisons are made with theory, and in the third the comparison is with experimental data.

Validation of a Numerical Method for Unsteady Flow Calculations

1991 ◽  
Author(s):  
Michael Giles ◽  
Robert Haimes
Keyword(s):  
Heat Transfer ◽  
Flat Plate ◽  
Numerical Method ◽  
Stokes Equations ◽  
Companion Paper ◽  
Ideal Gas ◽  
Euler Method ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Loss Prediction

This paper describes and validates a numerical method for the calculation of unsteady inviscid and viscous flows. A companion paper compares experimental measurements of unsteady heat transfer on a transonic rotor with the corresponding computational results. The mathematical model is the Reynolds-averaged unsteady Navier-Stokes equations for a compressible ideal gas. Quasi-three-dimensionality is included through the use of a variable streamtube thickness. The numerical algorithm is unusual in two respects: a) for reasons of efficiency and flexibility it uses a hybrid Navier-Stokes/Euler method, and b) to allow for the computation of stator/rotor combinations with arbitrary pitch ratio a novel space-time coordinate transformation is used. Several test cases are presented to validate the performance of the computer program, UNSFLO. These include: a) unsteady, inviscid flat plate cascade flows, b) steady and unsteady, viscous flat plate cascade flows, c) steady turbine heat transfer and loss prediction. In the first two sets of cases comparisons are made with theory, and in the third the comparison is with experimental data.

scholarly journals Aerodynamic and thermal environment of a gap under hypersonic flight

2018 ◽  
Vol 22 (4) ◽  
pp. 1753-1758
Author(s):  
Haiming Huang ◽  
Jin Guo ◽  
Guo Huang
Keyword(s):  
Heat Transfer ◽  
Finite Volume ◽  
Stokes Equations ◽  
Thermal Environment ◽  
Numerical Results ◽  
Navier Stokes ◽  
Finite Volume Schemes ◽  
Navier Stokes Equations ◽  
Leading Role ◽  
Volume Method

Accurate prediction of aerodynamic and thermal environment around a gap has a significant effect on the development of spacecraft. The implicit finite volume schemes are derived and programmed from Navier-Stokes equations. Taking the gap between thermal insulation tiles as an example, a numerical simulation is performed by the finite volume method to obtain the flow characteristic in a gap and then to analyze the heat transfer mechanism. The numerical results are consistent with the experimental ones, which prove the precision of the method used in this paper. Furthermore, the numerical results reveal that the heat convection plays a leading role in heat transfer around a gap.

scholarly journals A Code for Simulating Heat Transfer in Turbulent Channel Flow

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 756
Author(s):  
Federico Lluesma-Rodríguez ◽  
Francisco Álcantara-Ávila ◽  
María Jezabel Pérez-Quiles ◽  
Sergio Hoyas
Keyword(s):  
Heat Transfer ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Turbulent Channel Flow ◽  
Passive Scalar ◽  
Direct Numerical Simulations ◽  
Time Dependent ◽  
Navier Stokes ◽  
Thermal Flow ◽  
Navier Stokes Equations

One numerical method was designed to solve the time-dependent, three-dimensional, incompressible Navier–Stokes equations in turbulent thermal channel flows. Its originality lies in the use of several well-known methods to discretize the problem and its parallel nature. Vorticy-Laplacian of velocity formulation has been used, so pressure has been removed from the system. Heat is modeled as a passive scalar. Any other quantity modeled as passive scalar can be very easily studied, including several of them at the same time. These methods have been successfully used for extensive direct numerical simulations of passive thermal flow for several boundary conditions.

Fast forced liquid film spreading on a substrate: flow, heat transfer and phase transition

2010 ◽  
Vol 656 ◽  
pp. 189-204 ◽  
Author(s):  
ILIA V. ROISMAN
Keyword(s):  
Heat Transfer ◽  
Phase Transition ◽  
Stokes Equations ◽  
Substrate Surface ◽  
Reynolds Numbers ◽  
Drop Impact ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Theoretical Predictions ◽  
Viscous Drop

This theoretical study is devoted to description of fluid flow and heat transfer in a spreading viscous drop with phase transition. A similarity solution for the combined full Navier–Stokes equations and energy equation for the expanding lamella generated by drop impact is obtained for a general case of oblique drop impact with high Weber and Reynolds numbers. The theory is applicable to the analysis of the phenomena of drop solidification, target melting and film boiling. The theoretical predictions for the contact temperature at the substrate surface agree well with the existing experimental data.

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