Questions tagged [engineering]

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16
votes
2answers
802 views

Heat convection differential equations from 1952 - Mathematica “fails to converge”

I am trying to solve a fundamental problem in analytical convective heat transfer: laminar free convection flow and heat transfer from a flat plate parallel to the direction of the generating body ...
18
votes
3answers
2k views

How can I simulate this toggle mechanism?

I've been introduced to Mathematica very recently. Basically, I haven't actually "solved" anything in my Mathematica lifetime, but I've done some simulations. With my fractional knowledge, I tried ...
9
votes
3answers
943 views

FEM Solution desired for “Plate with orifice” deflection: Application of Boundary Conditions and use of Regions

I found the deflection of an orifice plate (circular plate with a hole) subject to uniform pressure using Mathematica's NDSolve functionality. The plate is fixed at its outer circumference and is ...
13
votes
3answers
951 views

Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness)

On this Mathematica.SE form, there exists information on how to use Mathematica to demonstrate the vibration of a circular membrane and the deflection of an orifice plate (the latter I had raised ...
4
votes
1answer
500 views

Solving coupled Differential equations with matching condition

I am somewhat new to using Mathematica and was wondering if it can solve the following: $(a \rightarrow h)$ are constants $a w^4[x] =-b + c(d-w[x]-e x),\hspace{2em} x_1 \leq x \leq x_g \\ a w^4[x] ...
3
votes
1answer
93 views

Controlling the motion of points in an animation

I am looking for a better way to show this behavior on a pressure-composition diagram for immiscible liquids (two black dots show behavior at different x-positions, only one is present otherwise): ...