Abstract
The determination of temperature distribution within a turbine blade is
important in regard to avoid excessive high metal temperatures and temperatures
gradients. The prediction of temperature distribution was achieved through the use of
the finite difference technique, developed to solve the problem with the transformation
and grid generation techniques. Steady-state two-dimensional conduction heat transfer
equation was applied to the internal nodes in mesh to get the temperature distribution,
where at the surface nodes (outer, inner), forced convection heat transfer equation was
applied. The solution of the problem was established using computer program, which
serves to solve the equations by using Gauss-Siedel iterative method. In the present
study, three cases are used for thermal analyses of the blade, which requires the
specification of external and internal boundary conditions. It is also found from the
results obtained that the best cooling method to the turbine blade have been obtained
for the third case when the blade cooled by impingement and film cooling method. It
was found in the film cooled blade that the blade temperature decreases about (170 K)
cooler than the blade cooled without the film cooling method. The results of thermal
analyses obtained were compared with the finite element results. The comparison
shows that the finite difference results give a good agreement with the finite element
results with a small difference were calculated to be (3.5%) as maximum value and it
fall to (0%) in most regions.
important in regard to avoid excessive high metal temperatures and temperatures
gradients. The prediction of temperature distribution was achieved through the use of
the finite difference technique, developed to solve the problem with the transformation
and grid generation techniques. Steady-state two-dimensional conduction heat transfer
equation was applied to the internal nodes in mesh to get the temperature distribution,
where at the surface nodes (outer, inner), forced convection heat transfer equation was
applied. The solution of the problem was established using computer program, which
serves to solve the equations by using Gauss-Siedel iterative method. In the present
study, three cases are used for thermal analyses of the blade, which requires the
specification of external and internal boundary conditions. It is also found from the
results obtained that the best cooling method to the turbine blade have been obtained
for the third case when the blade cooled by impingement and film cooling method. It
was found in the film cooled blade that the blade temperature decreases about (170 K)
cooler than the blade cooled without the film cooling method. The results of thermal
analyses obtained were compared with the finite element results. The comparison
shows that the finite difference results give a good agreement with the finite element
results with a small difference were calculated to be (3.5%) as maximum value and it
fall to (0%) in most regions.