Recent content by hoomanya
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Thermal expansion of each dimension of a solid
Hi, I am trying to work out how much each dimension of a solid (for instance an annular disc) made out of steel changes assuming that the solid is heated uniformly and is not constrained at any of its boundaries. Am I right in saying that, the linear expansion equation L = L_0 (1+ α ΔT) can be...- hoomanya
- Thread
- Dimension Expansion Linear expansion Solid Solid mechanics Thermal Thermal expansion
- Replies: 1
- Forum: Mechanical Engineering
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Graduate Example of entropy as function of temperature only
Hi again, am I right that s(T) is a valid assumption for most liquids and solid because the intermolacular spacing is constant and hence changes in entropy due to changes in specific volume can be ignored?- hoomanya
- Post #4
- Forum: Thermodynamics
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MATLAB Matlab ode solvers - adding a separate convergence criteria
Hi, is there a way to add a user defined convergence criteria to an ode solver so that the solution is stopped?- hoomanya
- Thread
- Convergence Criteria Matlab Ode
- Replies: 1
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Relationship between displacement and stress
Hi, Am I right in saying that if the gradient of displacement is negative then stress is negative as in a simple elastic case, sigma = E*du/dx? thanks.- hoomanya
- Thread
- Displacement Relationship Stress Stress analysis
- Replies: 1
- Forum: Materials and Chemical Engineering
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How to check a numerical simulation is energy conservative?
thanks very much for your help this far.- hoomanya
- Post #23
- Forum: Mechanical Engineering
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How to check a numerical simulation is energy conservative?
I was thinking of the fundamental equation of thermodynamics and how Tds = du - pdv and so changes in the internal energy could be due to pdv or Tds independently. Can the changes in internal energy therefore no be just due the changes in pdv?- hoomanya
- Post #21
- Forum: Mechanical Engineering
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Graduate Does this wave propagation problem make physical sense?
My fluid is water. How about liquids?- hoomanya
- Post #7
- Forum: Other Physics Topics
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Graduate Does this wave propagation problem make physical sense?
Thanks very much. By strong or weak, do you mean in terms of speed of propagation of the wave? Also does this statement make sense "I read somewhere that the isothermal conditions could be explained by the waves having enough time to exchange heat and maintain a constant T"? Thanks again.- hoomanya
- Post #3
- Forum: Other Physics Topics
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Graduate Does this wave propagation problem make physical sense?
Hi, I'm trying to make sense of a wave propagation problem. It's a 1D problem, modelling propagation of density perturbations which travel like waves in a fluid. The problem is governed by the mass and momentum equations and density is related to pressure using the bulk modulus of the fluid...- hoomanya
- Thread
- Density Fluid dynamics Isothermal Physical Pressure Propagation Wave Wave propagation
- Replies: 6
- Forum: Other Physics Topics
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How to check a numerical simulation is energy conservative?
Hi, so I had a think about what you said, and in the problem essentially, sound waves propagate as a result of interplay between density and pressure. Essentially, I think the rare-fractions and the compressions have enough time to exchange heat and maintain at a constant temperature depending...- hoomanya
- Post #19
- Forum: Mechanical Engineering
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Graduate Thermodynamics of hyperelastic solid
Can someone please help with hyperelastic theory, I need to know how changes in reversible work are related to energy density function and then to strain and stress tensors. A reference that explains the theories simply would also be appreciated. So far I have failed to find anything relatively...- hoomanya
- Thread
- Continuum mechanics Solid Stress and strain Thermodyamics Thermodynamics
- Replies: 1
- Forum: Thermodynamics
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Displacement gradient same as strain?
Hi, is displacement gradient du/dx same as strain? i though it would be until someone made a comment that they are not the same thing and now I am confused.- hoomanya
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- Displacement Gradient Strain
- Replies: 1
- Forum: Mechanical Engineering
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How to check a numerical simulation is energy conservative?
I am solving the isothermal Euler equations and relating pressure to density using the bulk modulus of the material. I have an initial density (and hence pressure) wave and initial velocity is zero.- hoomanya
- Post #17
- Forum: Mechanical Engineering
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How to check a numerical simulation is energy conservative?
I'm not sure what you mean by a continuum model. I am not using a differential energy balance equation.- hoomanya
- Post #15
- Forum: Mechanical Engineering
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Graduate Problem integrating a double integral
That's what I thought. I might be reading the text I am reading wrong as the equations are not labelled correctly. Thanks. Good to know something else might be the problem.- hoomanya
- Post #5
- Forum: Differential Equations