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  • What do convergence and divergence mean? And why do they matter?
    I understand that when a series diverges, y doesn't approach 0 when x approaches infinity, and converging series do But what does this say? I just want to understand some applications NOTE: I'm
  • How to model converging illumination through object plane (in ZEMAX)
    Thread 'How to model converging illumination through object plane (in ZEMAX)' Hello community, I'm designing a projection lens system for a 35mm film projector in Zemax OpticStudio and struggling with the correct sequential mode setup for the illumination geometry
  • Series that converge to $\pi$ quickly - Mathematics Stack Exchange
    In particular, take a look at the latest version of his talk on "The life of pi" (and its references!), which includes many of the fast converging algorithms and series used in practice for high precision computations of $\pi$, such as the one from this Summer
  • Graphically determining the focal length of a converging lens
    To determine the focal length of a converging lens graphically, plot the values of 1 di on the y-axis and 1 do on the x-axis Rearranging the lens formula 1 f = 1 do + 1 di allows for the identification of a linear relationship, where the graph should yield a line with a slope of -1 and a y-intercept of approximately 1 f Each data point corresponds to the ordered pairs (1 do, 1 di), which
  • Identifying Converging and Diverging Lenses: Explaining with Principal . . .
    To determine whether a lens is converging or diverging, analyze the behavior of the principal rays after they pass through the lens A convex lens will cause rays to converge at a point on the opposite side, while a concave lens will cause rays to diverge, appearing to originate from a point on the same side as the object Drawing the three principal rays—one through the center, one parallel
  • How to determine when compressible flow is choked?
    In a compressible flow there is a critical pressure ratio between the upstream and downstream stagnation pressures in order for the flow to become choked, which always happens at the minimum cross-sectional area, or throat In a duct (or nozzle) that only converges and exits to a stagnation
  • Is there a pressure ratio limit for choked flow through a c-d nozzle . . .
    Choked flow in a converging-diverging nozzle is primarily determined by the stagnation properties before the throat, and the exit pressure influences the Mach number Increasing the diameter at the receiver does not guarantee choked flow unless the exit area is appropriately adjusted There is a critical pressure ratio for choked flow, which varies with the geometry of the nozzle, and if the
  • Why is my COMSOL solution not converging? - Physics Forums
    Hello, I'm a 2nd year student, and I'm trying to get to know COMSOL I'm starting off by solving simple problems with the incompressible Navier-Stokes model, but I keep having trouble with the convegence of the solution I keep getting the following error: "Failed to find a solution: The
  • Why Does Flow Become Supersonic in the Diverging Section of a Nozzle . . .
    now consider a converging diverging section suppose mach 1 is reached at the throat, at mach 1, section ll not alter the speed of flow, then why would the flow become supersonic in the diverging section i am a little confused about this since no part of stream can go over mach 1 in converging section, diverging section should act as a
  • Calculating Flow Rate: Pressure Source to Converging Nozzle
    The discussion focuses on calculating flow rate in a fluid system involving a pressure source and a converging nozzle, with an outlet to the atmosphere The user is attempting to determine the flow rate in gallons per minute (GPM) based on a pressure source of 100 psi and is considering various equations, including the Darcy-Weisbach and Hazen-Williams equations Key points include the need to





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