Analytical Mechanics of Viscous Fluid(II).

Microcantilever mechanics in flowing viscous fluids

Some Aspects of Modality in Analytical Mechanics

I commemorate David Lewis by describing some of the modal involvements of analytical mechanics. I first review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to Lewis’ work on modality, especially on counterfactuals. The first is the way Hamilton-Jacobi theory uses ensembles, i.e. sets of possible ini...

Towards an Analytical Mechanics of Dissipative Materials

A Lagrangian-Hamiltonian variational formulation is proposed for the thermoelasticity of heat conductors and its generalization to anelasticity described by means of internal-state variablesby using a gauge-theoretical technique (introduction of an additional variable of state the gradient of thermacy that renders the system apparently Hamiltonian). Projecting the equations resulting from the E...

Some Aspects of Modality in Analytical Mechanics

This paper discusses some of the modal involvements of analytical mechanics. I rst review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to David Lewis' work on modality, especially on counterfactuals. The rst is the way Hamilton-Jacobi theory uses ensembles, i.e. sets of possible initial conditions. ...

An assessment of a semi analytical AG method for solving two-dimension nonlinear viscous flow

In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow between slowly expanding or contracting walls with weak permeability by utilizing a semi analytical Akbari Ganji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficult and the results are not accurate. This new approach is emerged after comparing the achieved solutions...