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I would appreciate some guidance from the experts regarding the calculation of tower diameter

2020-09-10View Original

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Dear masters, as shown in the figure above, there is a formula for calculating the speed of an empty tower. Students are unable to understand this formula – they don’t know why the steam flow rate is 4 times greater, and why the tower diameter needs to be squared and then multiplied by π. I would appreciate it if you could help the students understand this. Thank you, and wish you all good health!
Reply #22020-09-10
Empty tower flow velocity = Vs/tower cross-sectional area; Tower cross-sectional area = radius squared * PI = (D/2)^2 * PI = D*D/4*PI; Substituting this value: Void tower velocity = Vs / (D*D/4*PI) = 4Vs / (D*D*PI) ; PI=π
Reply #32020-09-10
You didn’t do well in junior high, and then you studied humanities in high school? Once you understand the formula for the area of a circle and the formula for the volume of a cylinder, it will become clear
Reply #42020-09-11
The cross-sectional area S = πr^2 = (πD^2)/4; it’s just about calculating the area of a circle in elementary school
Reply #52020-09-14
Thank you to all the teachers for your guidance. I was wrong; I thought D was the diameter. Thank you to the teachers for their guidance!
Reply #62020-09-14
I understood it right away! Thank you! I see, so that 4 comes from that – it’s exactly the square of the radius. In that case, it can be replaced directly with 4, without having to calculate the radius first. Thank you!
Reply #72020-09-14
Thank you. Ah, my brain isn’t working properly, hahaha. Thank you, master!
Reply #82020-09-14
I’m so sorry; I made a joke. . . . . . .
Reply #92020-09-15
Kids, please remember some special numbers, such as π/4=0.785, etc.; you might see such numbers in others’ calculation books in the future
Reply #102020-09-15
Isn’t D the diameter? ? ? ? ?

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