Material Derivative: Finding P for Steady State Flow

cabellos
Messages
76
Reaction score
1
material derivative?

I have to find the material derivative of the density P for the following steady state flow:

P = -1-2xy-3z^3 and u = (3x-z, y+3z, x-y)

I have looked at previous examples but I am not sure what i have to do with the density -1-2xy-3z^3 ... ?

please help.
 
Physics news on Phys.org
What's the DEFINITION of the material derivative?
 
I think iv got my head round it now. If someone has a spair few minutes could they check my answer of -8xy +8zy -12xz
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

How should I show that these systems have no periodic solutions?
Replies
2
Views
1K
Finding an equation of the tangent plane -- with steps
Replies
12
Views
2K
Solving for the Green's Function and Using It to Solve an Differential Equation
Replies
9
Views
2K
Critical points and partial differentiation
Replies
26
Views
2K
Find all points where the level surface tangent plane is parallel
Replies
4
Views
5K
Prove that these three ratios are equivalent
Replies
11
Views
2K
Finding a basis for a particular subspace with Dot Product restrictions
Replies
1
Views
1K
Given the planar curve, find the equation of the plane
Replies
7
Views
3K
Reduced equation of quadratic forms
Replies
1
Views
2K
Find an equation for the tangent plane to a surface (using gradient)
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top