# Recent content by vktsn0303

1. ### Streamlines from strain rate tensor

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...
2. ### A Convolution, singularity, kernel, principle values, linear stability analysis, quadrature points

Thanks a lot for the information, fresh_42. I'll try to look up lecture notes that are made available online. I think that's the easier way to learn too.
3. ### A Convolution, singularity, kernel, principle values, linear stability analysis, quadrature points

Yes, I agree it's a rather broad question. Sorry about that. I would actually like to learn about singularities in a strict mathematical sense. So, if I have to learn about convolution, singularity and kernels in particular where should I start looking? I did google about them a bit, found some...
4. ### A Convolution, singularity, kernel, principle values, linear stability analysis, quadrature points

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...
5. ### I Express x in terms of the constants

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...
6. ### I Order of derivatives

If v is of order δ, what is the order of ∂v/∂x and ∂2v/∂x2 ?
7. ### What does this mean? (equation for viscous flows)

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...
8. ### The Determinant

What is the main idea behind the determinant? What was the main purpose for which it was conceived?
9. ### Tangent vector

But the rate of change at a point can never be a tangent at that point. It has to be integrated to obtain the equation of the tangent.
10. ### Tangent vector

Then why is the rate of change called the tangent vector itself?
11. ### Tangent vector

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...
12. ### Straight line in a plane

Post #2 helped me understand the negative reciprocal rule for perpendicularity. Post #11 helped me understand the negative reciprocal rule for perpendicularity being applicable, in context of post #10, only after A.B=0 being valid. The combination of both posts helped me understand everything...
13. ### Straight line in a plane

Thank you RyanH42.
14. ### Straight line in a plane

How is it right to say that A is perpendicular to ax+by=0 just because A is perpendicular to B?
15. ### Straight line in a plane

I think the above quoted message is misleading here. My question would have been as follows: Is it OK to say that A is perpendicular to ax+by=0 because A is perpendicular to B?