In this paper, the exact analytical and numerical solutions for rotating variable-thickness annular disk are presented. The inner and outer edges of the rotating variable-thickness annular disk are considered to have free boundary conditions. Two different annular disks for the radially varying thickness are given. The numerical Runge-Kutta solution as well as the exact analytical solution is a...

A class of exact general relativistic rotating thick disks surrounded by rotating dust is constructed by applying the “displace, cut, fill and reflect” method on the van Stockum class of metrics. Two particular solutions are considered in detail. We find that the disks have annular regions with negative energy density and heat flow is present in most of the radial extension of the disk. It is s...

We analyze axisymmetric deformations of a rotating disk with its thickness, mass density, thermal expansion coefficient and shear modulus varying in the radial direction. The disk is made of a rubberlike material that is modeled as isotropic, linear thermoelastic and incompressible. We note that the hydrostatic pressure in the constitutive relation of the material is to be determined as a part ...

In this paper, an analytical solution for computing the plastic & linear plastic stresses and critical angular velocity in a FGM hollow & solid rotating disk is developed. It has been assumed that the modulus of elasticity and yield strength were varying through thickness of the FGM material according to a power law relationship. The Poisson's ratio were considered constant throughout the thick...

In this paper, experimental data and numerical results of heat transfer from a heated rotating disk in still air are presented over a large range of inclination angles and a dimensionless correlation is developed for forced, natural and mixed convection. The measured Nusselt number over the rotating disk is compared with the numerical results. The goal of the present research is to develop a se...

We present a numerical study of 2D axisymmetric flows in a rotating annulus convectively forced by local thermal forcing via a heated annular ring at the bottom near the external wall and a cooled circular disk near the centre at the top surface of the annulus. Two vertically and horizontally displaced heat sources/sinks are arranged so thatstatically unstable Rayleigh-Bénard convection would b...

Disk brakes or sawing processes represent complicated thermo-mechanical systems where the dynamic interaction of the different components involved including heat effects establish a physical problem very interesting for theory and practical applications. In both cases the main structural element is a rotating disk where heat and mechanical loads are induced via frictional or cutting force conta...