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A Fourier-Gauss A Fourier-Gauss pseudo-spectral scheme is developed and used to solve the variable coefficient parabolic partial differential energy equation. The dependence of the Nusselt number and the bulk temperature on the pressure coefficient is investigated for the Newtonian case including viscous dissipation. These effects are found to be closely interactive. The effect of the Weissenberg number on the local Nusselt number is explored for the Maxwell fluid with pressure-dependent viscosity.

Local Nusselt number decreases with increasing pressure coefficient for both fluids. The local Nusselt number Nu for Newtonian fluid with pressure-dependent viscosity is always greater than Nu related to the viscoelastic Maxwell fluid with pressure-dependent viscosity. Szigligetius Struggles with the Continuum - John Baez. Continuum mechanics with Mathematica. Ahmed Shabana - computational continuum mechanics. Andrei Constantinescu - Elasticity with Mathematica. Andrei Constantinescu - Elasticity with Mathematica, an introduction to continuum mechanics.

Continuum mechanics

Fundamentals of Continuum Mechanics - Stephen Bechtel. Fundamentals of Continuum Mechanics. Mase G. Physical foundations of mesoscale continua. Assume that the physics on the microscale interactions between atoms, molecules, defects in crystals.

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What is the appropriate mesoscale continuum theory for the problem? What are the assumptions involved and how do What are the assumptions involved and how do they define the limitations of the continuum model?

To answer these questions, we begin with the definition of mesoscale continuum kinematics from the microscale kinematics. The geometry of micro-structure e. We thus arrive at three kinematic formulations: mass continuum, lattice continuum and granular continuum. Then, upon formulating the power balance, we use the principle of virtual power to arrive at a variety of mathematical formulations: simple continuum with moving boundaries, phase field formulation, and, a higher order, size-dependent continuum.

Related Topics. Elasticity Solid Mechanics. Read full description.

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    • About this product Product Information This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective. Additional Product Features Author s.

      On the modeling of transport phenomena in continuum and statistical mechanics

      Dr Murdoch has taught and lectured at many distinguished mathematics and engineering schools around the world. Show more Show less. No ratings or reviews yet. Be the first to write a review. Petsev, N. Moeendarbary, E.

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      Liu, M. Methods Eng. Fraga Filho, C. Fluids Eslamian, A.

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      Liu, G. Valizadeh, A. Lee, E. Dirac, P. Vorobyev, A. Korzilius, S. Goffin, L. Fourtakas, G. Methods Fluids 78 , — Accessed 26 Dec Kleefsman, K. Newman, J. Cruchaga, M. Chen, J.

      1. Introduction