Determination of the Proper Number, Locations, Sizes and Shapes of Superelliptic Coolant Flow Passages in Turbine Blades

Author(s):  
George S. Dulikravich ◽  
Thomas J. Martin
Author(s):  
Mahesh M. Bhat ◽  
V. Ramamurti ◽  
C. Sujatha

Abstract Steam turbine blade is a very complex structure. It has geometric complexities like variation of twist, taper, width and thickness along its length. Most of the time these variations are not uniform. Apart from these geometric complexities, the blades are coupled by means of lacing wire, lacing rod or shroud. Blades are attached to a flexible disc which contributes to the dynamic behavior of the blade. Root fixity also plays an important role in this behavior. There is a considerable variation in the frequencies of blades of newly assembled turbine and frequencies after some hours of running. Again because of manufacturing tolerances there can be some variation in the blade to blade frequencies. Determination of natural frequencies of the blade is therefore a very critical job. Problems associated with typical industrial turbine bladed discs of a 235 MW steam turbine are highlighted in this paper.


2019 ◽  
Vol 56 (7) ◽  
pp. 1712-1724 ◽  
Author(s):  
Joe Onoufriou ◽  
Andrew Brownlow ◽  
Simon Moss ◽  
Gordon Hastie ◽  
Dave Thompson

1981 ◽  
Vol 13 (1) ◽  
pp. 69-72
Author(s):  
V. F. Novikov ◽  
V. F. Tikhonov
Keyword(s):  

1985 ◽  
Vol 107 (1) ◽  
pp. 123-126 ◽  
Author(s):  
S. R. Kennon ◽  
G. S. Dulikravich

A methodology is developed for the inverse design and/or analysis of interior coolant flow passage shapes in internally cooled configurations with particular applications to turbine cascade blade design. The user of this technique may specify the temperature (or heat flux) distribution along the blade outer fixed surface shape and the unknown interior coolant/blade interface. The numerical solution of the outer gas flow field determines the remaining unspecified blade outer surface quantity—surface heat flux if temperature was originally specified or vice versa. Along the unknown coolant flow passage shape the designer has the freedom to specify the desired temperature distribution. The hollow blade wall thickness distribution is then found from the solution of Laplace’s equation governing the temperature field within the solid portion of the hollow blade, while satisfying both boundary conditions of temperature and heat flux at the fixed outer blade surface, and the specified temperature boundary condition on the evolving inner surface. A first order panel method, coupled with Newton’s N-dimensional interation scheme, is used for the iterative solution of the unknown coolant/blade interface shape. Results are shown for a simple eccentrical bore pipe cross section and a realistic turbine blade cross section. The inverse design procedure is shown to be efficient and stable for all configurations that have been tested.


Author(s):  
R. Lang ◽  
E. N. Petrick

The demand for increased performance in turbojet engines has necessitated an increase in the operating temperatures of various engine components. To this end, metallurgical engineers have made significant improvements in the properties of high-strength metals. The metallurgical state-of-the-art, however, is not sufficient to satisfy the requirements of the propulsion engineer. The air-cooled turbine, therefore, has been developed. The higher operating temperature levels require a more critical study of temperature distribution and of the resultant operating stresses in the blading. The utilization of the analogy between heat flow and electrical flow is described herein as the basis for a method of determining the chordwise-temperature distribution and heat-transfer rates in the air-cooled turbine blades. A general review of the mathematical derivation of analog theory is included and a hypothetical problem is solved. It is to be noted that the technique is not restricted solely to the turbine problem, but can be applied to any steady-state problem which satisfies the specified conditions. Additional analog examples are cited, including techniques for determination of the velocity and pressure distribution around the turbine blade and the temperature distribution in an air-cooled turbine disk.


Author(s):  
Stephen R. Kennon ◽  
George S. Dulikravich

A method is described for the inverse design of complex coolant flow passage shapes in internally cooled turbine blades. This method is a refinement and extension of a method developed by the authors for designing a single coolant hole in turbine blades. The new method allows the turbine designer to specify the number of holes the turbine blade is to have. In addition, the turbine designer may specify that certain portions of the interior coolant flow passage geometry are to remain fixed (eg. struts, surface coolant ejection channels, etc.). Like the original design method, the designer must specify the outer blade surface temperature and heat flux distribution and the desired interior coolant flow passage surface temperature distributions. This solution procedure involves satisfying the dual Dirichlet and Neumann specified boundary conditions of temperature and heat flux on the outer boundary of the airfoil while iteratively modifying the shapes of the coolant flow passages using a least squares optimization procedure that minimizes the error in satisfying the specified Dirichlet temperature boundary condition on the surface of each of the evolving interior holes. Portions of the inner geometry that are specified to be fixed are not modified. A first order panel method is used to solve Laplace’s equation for the steady heat conduction within the solid portions of the hollow blade, making the inverse design procedure very efficient and applicable to realistic geometries. Results are presented for a realistic turbine blade design problem.


Author(s):  
George S. Dulikravich ◽  
Branko Kosovic

This work represents an extension of the earlier research on inverse determination of proper locations and sizes of a given number of coolant flow passages (holes) subject to specified surface temperatures and heat fluxes. The methodology is extended to allow designer to guess the required number of holes and the minimal allowable diameter of a hole. A constrained optimization algorithm is then used to minimize the total number of cooling holes, while satisfying user-specified hot surface temperatures and heat fluxes. Premature termination of the optimization process due to the existence of local minimas has been satisfactorily resolved by automatic switching of the objective function formulation whenever the local minima is detected. The convergence criteria of the iterative process, which can be specified by the user, was found to have a strong influence on the accuracy of the entire inverse design optimization algorithm.


1976 ◽  
Vol 8 (3) ◽  
pp. 296-299
Author(s):  
A. A. Kaminer ◽  
V. A. Balalaev ◽  
N. Ya. Nastenko

Sign in / Sign up

Export Citation Format

Share Document