BEM/FVM conjugate heat transfer analysis of a three‐dimensional film cooled turbine blade

Abstract

We report on the progress in the development and application of a coupled boundary element/finite volume method temperature‐forward/flux‐back algorithm developed to solve conjugate heat transfer arising in 3D film‐cooled turbine blades. We adopt a loosely coupled strategy where each set of field equations is solved to provide boundary conditions for the other. Iteration is carried out until interfacial continuity of temperature and heat flux is enforced. The NASA‐Glenn explicit finite volume Navier‐Stokes code Glenn‐HT is coupled to a 3D BEM steady‐state heat conduction solver. Results from a CHT simulation of a 3D film‐cooled blade section are compared with those obtained from the standard two temperature model, revealing that a significant difference in the level and distribution of metal temperatures is found between the two. Finally, current developments of an iterative strategy accommodating large numbers of unknowns by a domain decomposition approach is presented. An iterative scheme is developed along with a physically‐based initial guess and a coarse grid solution to provide a good starting point for the iteration. Results from a 3D simulation show the process that converges efficiently and offers substantial computational and storage savings.

Film cooling effectiveness: Comparison of adiabatic and conjugate heat transfer CFD models

“…Li and Kassab [22,23], Heidmann et al [24] and Kassab et al [25] pursued a different method of coupling the fluid and solid thermal problems. The basis for their technique is the boundary element method (BEM) for the solution of solid conduction problem.…”

BEM/FDM conjugate heat transfer analysis of a two-dimensional air-cooled turbine blade boundary layer

“…He et al [13,14], M He et al [15], Kontinos [16], Rahaim and Kassab [17] and Rahaim et al [18] adopted this conjugate heat transfer analysis method to solve different coupled problems. Kassab et al [19] reported on the coupling of the BEM method with the Glenn-HT code. Heidmann et al [1,20] applied the coupled Glenn-HT-BEM code to the three-dimensional film-cooled turbine vane and developed the conjugate heat transfer solver and applied it to a realistic filmcooled turbine vane for a variety of blade materials.…”

An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems

“…Figure 1(a) shows a simple illustration where the interface Σ separates two materials. Such problems arise in many different contexts, for example, transport in porous media with discontinuous permeability for oil reservoir simulation [31]; electromagnetic radiation on biological tissues of discontinuous conductivity and permittivity [14]; heat transfer on turbine blades with aerodynamics on the external side and heat conduction inside the blade [22]. The last is a multi-physics example with different PDEs across the interface.…”