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finite difference solution of convective boundary layer flow

Submitted by S Sivasankaran on

Hi

i want to solve convection boundary layer flow past a vertical plate problem using Finite difference method, that is, i have to solve momentum (NavierStokes) and energy equations. Most of the boundary layer problem is solved by similarity transform method. That is they convert PDE to ODE then they solve ODE by Runge Kutta Shooting method. I would like to solve the PDE directly.

Momentum Eqn

U_t+U U_x + V U_y = U_yy + Gr T

Energy Eqn

Structure of Defective Crystals at Finite Temperatures: A Quasi-Harmonic Lattice Dynamics Approach

Submitted by arash_yavari on
research
domain walls
Lattice Defects
Lattice Dynamics
Finite-Temperature Structure

In this paper we extend the classical method of lattice dynamics to defective crystals with partial symmetries. We start by a nominal defect configuration and first relax it statically. Having the static equilibrium configuration, we use a quasiharmonic lattice dynamics approach to approximate the free energy. Finally, the defect structure at a finite temperature is obtained by minimizing the approximate Helmholtz free energy. For higher temperatures we take the relaxed configuration at a lower temperature as the reference configuration.

Help

Submitted by Yadollah on

Can anybody help me with piezoelectric modeling using abaqus cae? I am pretty new on this, I am looking at tutorials or *.cae files but I cannot find any. can you please reference me where to find them or maybe explain how it works? Thanks


cylinder with circumferential crack

Submitted by Suneel Kumar on
education
fracture mechanics

hi...i m doing 2nd year mtech...i m getting an error while solving circumferential crack in cylinder using ANSYS...while calculating stress intensity factor(SIF) it shows the error as "all crack face nodes do not have the same z value in the currently active coordinate system"...please anyone let me know how to deal this error??

regards

sunil kumar 

ASME IMECE2010 Symposium on Integrated Structures and Hybrid Materials

Submitted by Teng Li on
conference
IMECE 2010

The Integrated Structure Technical Committee in the Applied Mechanics Division of ASME invite you to submit an abstract to the Symposium on Mechanics of Integrated Structures and Hybrid Materials in Advanced Technologies at the 2010 ASME International Mechanical Engineering Congress & Exposition (IMECE).



Date: November 12-18, 2010

Venue: Vancouver, British Columbia, Canada.



Potential energy of a string

Submitted by L2020 on
vibration
string
potential energy

Hi,

I have to use Hamilton pricinple to evaluate the diff. equation of motion of a string. As shown in the figure below, the string is hanged from one end and is free at the other. The flexural stiffness of the string is negligible.

I have a problem with the potential energy of the string! required in the Hamilton principle. Since the flexural stiffness of the string is assumed to be negligible, is there any other term for potential energy? 

 

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