Hi

I want to derive an incompressible Navier Stokes equations with Maple for Conical Coordinate System.

In the beginning I'd like to derive NS equations in the Cartesian coord. system:

with(Student[VectorCalculus]):

V:=VectorField();

NS:=Diff(V,t)+DirectionalDiff((V . Del),V)=-Gradient(P)/ro+ni*Del . Del . V

Obviously something wrong with this writing.

Please help

Mark

Hi

I am trying to plot E as a function of t for a following implicit integral equation:

(int(sqrt((1-(1-E^2)*(sin(x))^2)/(1-(1-E^2)*t^2*(sin(x))^2)),x=0..pi/2))=0

I am using implicitplot, but apparently it loops until infinity and not give any answer.

I tried also to change the integral boundaries to x=0.1..1.55 with no result.

I'll appreciate any help

Mark

PhD student, IIT

I have an equation for inviscid bubble expanding of the form:

ode:=R(t)*diff(R(t),t,t)+(diff(R(t),t))^2-1/R(t)=0

Sol:=dsolve(ode, numeric, initialConditions:=R(0)=R0,D(R)(0)=0)

Now, I want to plot the following expression:

Sol2:=1/R(t)

How can I do it?

Thanks ahead,

Mark