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 July 16th, 2018, 06:48 AM #1 Newbie   Joined: Jul 2018 From: UK Posts: 1 Thanks: 0 HVAC finding the value of BETA help Good afternoon from a very sunny UK, I’m not particularly strong at maths but I’m hoping that there is a mathtastic wizz who can spare a minute and help me out, I would be eternally grateful. What I am doing is HVAC related. Presently there are a number of calculations where you can calculate a capture distance for an extraction system welding hood based upon quantitative measurements taken on site: (Equation 1) ɑ=(x/√A)*(W/L)^-β (Equation 2) β=0.2*(x/√A)^-1 (Equation 3) Vh=Vc(0.93+8.58a²) I can do Equations 1-3 fine but what I’m trying to find out what the capture distance would be based upon limited information that I would have at the design stage. I’ve got as far as rearranging the equations: (Equation 1a) x=a*√A*(W/L)^β (Equation 2a) β=0.2*(x/√A)^-1 (Equation 3a) a = (√100Vh-93Vc)/( √858*√Vc) Key x is the distance the hood is positioned from the process (m) W Width of the hood face (m) L Length of hood face (m) A Area of the hood face (m2) α Distance from the hood face for satisfactory capture (m) β Beta Vh Hood entry velocity (m/s) Vc Hood capture velocity (m/s) I’ve been doing the maths both ways to check that the answers tally and they do not. It maybe because it’s stressing me out but I just can’t see how to move forward. For small circular hoods the answers are near enough. However, for large rectangles/slots say 300x1000mm and above, the maths is miles out. It is equations 1a & 2a I’m particularly stuck with as I don’t know how to calculate the value of β Beta? Appreciate any help.xxxx July 16th, 2018, 10:13 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,971 Thanks: 2222 You can take the logarithm of each side of equation 1 (or 1a). What exactly were you unable to do with equation 2? Equation 3a should be a = √)100Vh-93Vc)/(√858*√Vc). Tags beta, finding, hvac Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post mared Algebra 2 November 20th, 2015 03:54 PM limes5 Real Analysis 1 July 7th, 2014 05:11 AM Dean1884 Algebra 7 August 5th, 2013 12:45 PM chamilka Real Analysis 3 July 2nd, 2012 10:28 PM Barbarel Number Theory 1 May 23rd, 2009 04:41 PM

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