in this paper a linear fuzzy fredholm integral equation(ffie) with arbitrary fuzzy function input and symmetric triangular (fuzzy interval) output is considered. for each variable, output is the nearest triangular fuzzy number (fuzzy interval) to the exact fuzzy solution of (ffie).

Accurate predictions of turbine heat transfer rates are needed to reduce the overall costs and risks of developing an efficient cooling system and to improve predictions of turbine life. 3D Navier Stokes codes are commonly used to predict the aerodynamic flowfield, but their use for heat transfer calculations is not so well established. This paper describes heat transfer predictions for the end...

This is an exploratory study of jet noise reduction using fan flow deflectors in a nozzle shaped like the exhaust of a separate-flow turbofan engine with bypass ratio 4.8. The deflectors directed the bypass plume downward and/or sideward relative to the core plume. Vaneand wedge-type deflectors were tested. The noise reduction achieved by the vane deflector was strong in the downward direction ...

In recent years a number of embankments were designedwith concrete overtopping protection shaped in a stepped fashion. During large overflows on stepped chutes, there is no skin friction between mainstream and steps, and flow resistance is basically form drag. Alterations of flow recirculation and of fluid exchanges between free-stream and cavity flow are discussed in this study. A comprehensiv...

Closed-form solutions were developed to optimize kinematics design of a 2-degree-of-freedom (2DOF) planar parallel manipulator. The optimum design based on the workspace was presented. Meanwhile, a global, comprehensive conditioning index was introduced to evaluate the kinematic designs. The optimal parallel manipulator is incorporated into a 5-DOF hybrid machine tool which includes a 2-DOF rot...

In the process of milling profile vanes a gas turbine engine on multi-operational machines, technological scheme transverse line shaping is used. According to this scheme, vane rotates around its own axis, it machined with mill spherical working surface, which performs rotation and interpolated axial movement. The required parameters surface quality airfoil (profile accuracy roughness parameter...

In this paper, we investigate GPU based parallel triangular solvers systematically. The parallel triangular solvers are fundamental to incomplete LU factorization family preconditioners and algebraic multigrid solvers. We develop a new matrix format suitable for GPU devices. Parallel lower triangular solvers and upper triangular solvers are developed for this new data structure. With these solv...

Various broadband multi-resonator gap-coupled configurations of equilateral triangular microstrip antenna and its compact variation, half equilateral triangular microstrip antenna, are proposed. The broadband proximity fed equilateral triangular microstrip antenna yields bandwidth of more than 650 MHz (~44%), whereas equivalent proximity fed gap-coupled half equilateral triangular microstrip an...

Block lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned systems are related. Nonsingular saddle point matrices of the form