Recent content by vktsn0303

  1. vktsn0303

    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. vktsn0303

    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. vktsn0303

    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. vktsn0303

    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. vktsn0303

    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. vktsn0303

    I Order of derivatives

    If v is of order δ, what is the order of ∂v/∂x and ∂2v/∂x2 ?
  7. vktsn0303

    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. vktsn0303

    The Determinant

    What is the main idea behind the determinant? What was the main purpose for which it was conceived?
  9. vktsn0303

    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. vktsn0303

    Tangent vector

    Then why is the rate of change called the tangent vector itself?
  11. vktsn0303

    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. vktsn0303

    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. vktsn0303

    Straight line in a plane

    Thank you RyanH42.
  14. vktsn0303

    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. vktsn0303

    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?
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