I was reading about strain rate tensors and other kinematic properties of fluids that can be obtained if we know the velocity field V = (u, v, w). It got me wondering if I can sketch streamlines if I have the strain rate tensor with me to start with. Let's say I have the strain rate tensor...
I'm reading a book on vortex methods and I came across the above mentioned terms, however, I don't understand what they mean in mathematical terms. The book seems to be quite valuable with its content and therefore I would like to understand what the author is trying to say using the above...
I have the expression, A(Bx + 1) = C*d^(2x) where A,B,C and d are constants. How to arrive at an expression for x in terms of A,B,C and d?
I have tried doing this:
Log [A(Bx + 1)/C] = Log [d^(2x)]
2xLog(d) = Log[A(Bx + 1)/C]
but I'm unable to arrive at an explicit expression of x in terms...
While reading a text book on viscous flows, I came across the following interpretation of an equation:
where, v is the vertical component of the free stream velocity and y is the vertical distance from the surface of a solid and Re is the reynolds number.
Can someone please help me...
I was reading about the tangent vector at a point on a curve.
It is formulated as r' = Lim Δt→0 [r(t+Δt) - r(t)] / Δt (sorry for the misrepresentation of the 'Lim Δt→0 ')
where r(t) is a position vector to the curve and t is a parameter and r' is the derivative of r(t).
All I can...
The title does not say much. But my actual question is as follows.
Let us suppose a line ax+by=0.
This means A.B = 0 with A and B being vectors, where A = [a,b] and B = [x,y].
Therefore, A is perpendicular to B.
Now my question is if A is also perpendicular to line ax+by=0 (I'm not sure if this...
While solving non-homogenous linear ODEs we make use of the integrating factor to allow us to arrive at a solution of the unknown function. Same applies to non linear ODEs where the ODEs are converted to exact differentials.
But what I don't understand is how and why would someone have come up...
Hello everyone,
I wanted to learn about the issues that the aerospace industry is currently facing. Could anyone please help me in this regard. I searched on the internet but could not find a proper web site that explained this. So I thought this forum was the right place to ask about this...
I have learnt that they are called so because they cannot be expressed with the help of elemental methods of mathematics such as addition, subtraction, multiplication and division. But then isn't the whole of mathematics itself based on the elemental methods?