A second-kind integral equation for the tractions on a rigid body moving in a Stokesian fluid is established using the Lorentz reciprocal theorem and an integral equation for a double-layer density. A second-order collocation method based on the trapezoidal rule is applied to the integral equation after appropriate singularity reduction. For translating prolate spheroids with various aspect rat...

The present work is carried out to investigate heat transfer and friction factor characteristics of fluid (air) flow through turbulent channel i.e. parallel plate heat exchanger for different geometry and designs parameters, with a bottom plate applied to uniform constant heat flux thermal boundary condition, and upper plate is provided with a insulated condition. The fluid domain is designed u...

Abstract Classical sets are used commonly to consider reliability. Because of the uncertainty in data (which considered present paper) classical fail describe reliability accurately. Uncertainty leads fluctuation actual situation structure. Fuzzy logic method attempts test system with benefit membership function. Within this context, specific problems reasoning-based approaches studied, explore...

This paper explores the study of Multi-Objective Multi-item Solid Transportation Problem (MMSTP) under fuzzy environment. Realizing impact real-life situations, here we consider MMSTP with parameters, e.g. , transportation cost, supply, and demand, treat as trapezoidal numbers. Trapezoidal numbers are then converted into nearly approximation interval by using (P. Grzegorzewski, Fuzzy Sets Syst....

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

The diffraction efficiency behavior of reflection gratings with an asymmetrical trapezoidal groove profile has been studied. Theoretical calculations predict that at certain grating parameters superior efficiency compared to the conventional ruled gratings can be achieved.

Leaping methods provide for efficient and approximate time stepping of chemical reaction systems modeled by continuous time discrete state stochastic dynamics. We investigate the application of leaping methods for ‘‘small number and stiff’’ systems, i.e. systems whose dynamics involve different time scales and have some molecular species present in very small numbers, specifically in the range ...

We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions. This is proved using the noncommutative k-Schur functions in terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmet...

We study a division problem which allocates resources to agents with single-peaked preferences, who have a right to decide for the participation. We introduce the generalized uniform rule which assigns resources to agent as equally as possible subject to the participation constraints. We present various characterizations of the generalized uniform rule on the basis of separability principle.

Using Hayashi's inequality, an Iyengar type inequality for functions with bounded second derivative is obtained. This result improves a similar result from [N. Elezovi´c, J. Pečari´c, Steffensen's inequality and estimates of error in trapezoidal rule, Appl. In 1938 Iyengar proved the following inequality in [1]: Theorem 1. Let function f be differentiable on [a, b] and | f (x)| ≤ M. Then 1 b − ...