A stochastic model is derived to predict the turbulent torque produced by a swirling flow. It is a simple Langevin process, with a colored noise. Using the unified colored noise approximation, we derive analytically the PDF of the fluctuations of injected power in two forcing regimes: constant angular velocity or constant applied torque. In the limit of small velocity fluctuations and vanishing...

In this paper, static and dynamic stability analyses taking axial excitation into account are presented for a laminated carbon fiber reinforced polymer (CFRP) cylindrical shell under non-normal boundary condition. The condition is put forward to signify that both ends of the free one generatrix clamped. partial differential motion governing equations CFRP with derived using Hamilton principle, ...

This framework presents heat transfer analysis for swirling flow of viscoplastic fluid bounded by a permeable rotating disk. Problem formulation is made through constitutive relations Bingham model. Viscous dissipation effects are pre-served in the mathematical Entropy production which yet to be explored von-Karman non-Newtonian fluids. Having found similarity equations, these have been dealt n...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

The advancement of nanofluid technology has become an essential tool for investigating thermal conductivity enhancement, which is highly valuable industrial and engineering applications in many fields including mathematics, physics, engineering, materials science. This analysis focuses on 3-D boundary-layer flow over a rotating disk by incorporating chemical reaction radiations effects. One aim...

The primary resonance and nonlinear vibrations of the functionally graded graphene platelet (FGGP)-reinforced rotating pretwisted composite blade under combined external multiple parametric excitations are investigated with three different distribution patterns. FGGP-reinforced is simplified to cantilever plate reinforced by platelet. It novel simplify leakage airflow in tip clearance non-unifo...

Abstract In this article, we deal with a strongly damped von Karman equation variable exponent source and memory effects. We investigate blow-up results of solutions three levels initial energy such as non-positive energy, certain positive high energy. Furthermore, estimate not only the upper bound but also lower time.

Owing to the excellent mechanical properties, polymethyl methacrylate (PMMA)/carbon nanotube (CNT) composite has been increasingly adopted in aerospace field, which is usually subjected various temperature conditions and supersonic aerodynamic loads. Using a molecular dynamics (MD)-based multiscale simulation, nonlinear forced vibration of PMMA/CNT plate investigated under coupled load conditio...

The paper deals with a novel algorithm used to improve identification quality of clusters generated by predictive clustering algorithm as a tool to identify states preceding to bifurcations for a system governed by von Karman equations. To construct bifurcation precursors, solutions (of the equations) observed on bifurcation paths are clustered; centers of the clusters constitute a set of bifur...

We consider an aeroelastic model known as a nonlinear flow-structure interaction, which describes the oscillations of a thin, flexible plate immersed in a potential flow. This model is used to study the phenomenon known as flutter, which involves the coupling of the plate’s vibrational modes with the aerodynamic load. Here, we treat this problem from a partial differential equations point of vi...