Recent content by WhiteWolf98

  1. WhiteWolf98

    Transitional Reynolds Number When Analysing Flow Through Orifices

    Think you've answered my question there as I was typing it. I'll be honest, I did think that. Thank you for your response
  2. WhiteWolf98

    Transitional Reynolds Number When Analysing Flow Through Orifices

    Yes I saw this, that is a very tiny Reynolds number. The smallest Re number I'm dealing with is about 320. It's just bizarre to me to be talking about different flow regimes at such tiny values. So depending on the conditions, are we saying that it's possible to get different flow regimes even...
  3. WhiteWolf98

    Transitional Reynolds Number When Analysing Flow Through Orifices

    Greetings, I need to work out the flow rate of of a flow through an orifice, where the size of the orifice and differential pressure are varied. The primary unknown in working out flow rate is the coefficient of discharge. A textbook I've been using to help me is "Hydraulic Control Systems" by...
  4. WhiteWolf98

    [Structural Dynamics] How to model a 3D wing as a 2D Wind Tunnel Model

    Ah, my apologies, I must not have worded it clear enough. I'll try again. So I'm not making an actual model, it's purely theoretical. I've considered a wing from an aircraft, and I want to express it in the form shown in the picture above. My only unknown is the spring constants, which I'm...
  5. WhiteWolf98

    [Structural Dynamics] How to model a 3D wing as a 2D Wind Tunnel Model

    Greetings Good People, As the title suggests, I'm having some trouble getting to a 2D model. The process is to select an aircraft (or wing model), and model it as a 2D, 2DOF wing-tunnel model. The aircraft I selected was a Cessna 172. This had a tapered wing, which after some calculations and...
  6. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    Okay, I think I was able to do it. For the sake of completion, I'll put the rest of my solution here. I realize the substitution probably wasn't necessary, but I found it easier to do thinking about it that way. Thank you very much everyone for all your help :)
  7. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    Ohh, I see it, I see it. What a silly mistake, I can't just add them. Alright, I'll give it another go. Thank you
  8. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    This is just not making any sense, sorry. I'll put all the steps I've done below. I feel like I'm just going in circles. And then for: Depending on which way I do it, I get different answers... which is weird! I don't get it. Yeah, I don't know anymore, nothing is working
  9. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    I'll try write out how I got it as soon as I can. For now, when multiplying that out, I get ##e^{i\theta}-e^{-i\theta}## Ah, that is a mistake on my part. Though I don't suppose ##e^{i\theta-i\alpha}## would make it correct
  10. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    Hello. Thanks for your replies, much appreciated. I tried again following your advice, and I couldn't eliminate ##2θ##. This is what I ended up with: $$=U_{\infty}\frac{e^{i\theta+i\alpha}-e^{i\alpha-i\theta}+2\sin(\alpha)i}{e^{2i\theta}}$$ Well actually, this was one way of writing it. The...
  11. WhiteWolf98

    Using Euler's Formula to write a fraction in another form

    Greetings. I'm having a bit of difficulty with getting from the first to the second equation. I know some basic identities, but it all just feels like a mess. My approach was just going to be to write whatever I could, but some of the terms are confusing me...
  12. WhiteWolf98

    Using Complex Conjugates to Decompose a Fraction

    My apologies, maybe I should have actually listened and shared the rest of the solution. I sort of get what you're doing there, and recognise two formulas from the z-transform table. This is the rest of the solution: Could it possibly be that the statement, 'Noting that the poles in the...
  13. WhiteWolf98

    Using Complex Conjugates to Decompose a Fraction

    That's the solution as I saw it; everything after is using the inverse z-transform. And I agree, I still have absolutely no clue what complex conjugates have to do with this
  14. WhiteWolf98

    Using Complex Conjugates to Decompose a Fraction

    Wow, uh. Right you are, my apologies. That's quite embarrassing lol THAT is what I meant to say! Seems I've got it all muddled up. Thanks a lot Mark, that's made it quite clear how that fraction is split.
  15. WhiteWolf98

    Using Complex Conjugates to Decompose a Fraction

    Okay... that makes sense. But then the next part: How can you just split a fraction like that? For example: $$\frac{x+y}{z}=\frac{x}{z}+\frac{y}{z}$$ You can do that. But what you can't do is: $$\frac{x+y}{w+z}=\frac{x}{w+z}+\frac{y}{w+z}$$ So how come it's being done there? Is there something...