Dynamic head, pressure drop formulas?

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Discussion Overview

The discussion revolves around calculating dynamic head and pressure drop in fluid flow through a tube, particularly focusing on the effects of holes or orifices in the tube. Participants seek formulas and methods for these calculations, indicating a blend of theoretical and practical considerations in fluid dynamics.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant requests formulas for calculating dynamic head and pressure drop in a tube with holes.
  • Another suggests using tables for specific materials and velocities, questioning the definition of a "hole" in the tube, proposing it might refer to an orifice.
  • A participant describes a scenario with fixed hole diameters and a free stream velocity, asking for methods to calculate pressure drop and head loss.
  • One response mentions using Bernoulli's equation to determine the pressure required for a specific flow rate through the holes, suggesting a nozzle coefficient adjustment.
  • A detailed formula for dynamic head is provided, along with an application of Bernoulli's equation to calculate head loss between two points in the tube.
  • Another participant recommends an online resource for theoretical background and calculators related to fluid mechanics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach or formulas for calculating dynamic head and pressure drop, with multiple competing views and methods presented throughout the discussion.

Contextual Notes

Some assumptions regarding flow conditions, such as the type of fluid and the specific configurations of the tube and holes, are not fully clarified, which may affect the applicability of the proposed methods and formulas.

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My fluid dynamics is rather weak and i was wondering if someone could please tell me how to calculate dynamic head of the flow in the a tube and how to calculate pressure drop of a hole in a tube? Some formulas would be handy



thanks



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Generally, you just use a table for certain materials and velocities. IIRC, we use a book put out by BOCA. And I'm not sure what you mean by a hole in the tube - an orifice?
 
Please see my diagram the diameters of the hold are fixed it has a fluid running through it being injected outwards. The diameter of the holes is fixed. the tube shape chamber has a free stream velocity flowing round it can be assumed to be air. need method of calculating pressure drop and head loss.
 

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I'm still not completely clear on it, but if you have a certain flow rate through the holes in mind, you can use bernoulli's equation to calculate the pressure required to get it. Figure on a 50% nozzle coefficient (meaning whatever pressure you get, double it).
 
well,the formula of the dynamic head is"H=P/W",where p:pressure&W:specific weight=density*acceleration"g",of the fluid passing in the tube.
u can apply the bernouli's equation as russ watters mentioned in his reply,between two points,say point"1" at the surface of the tube and at point"2" at the centre of the tube&at the centre line of the 1st two holes,and I've noticed that the every two holes at the same horizontal line?,their centre line is at the same line?,
so by using bernouli's:
(P1/W1+Z1+V1^2/2g)-(P2/W2+Z2+V2^2/2g)=head lossed from point "1" to point "2".
and according to my assumptions:taking the datumn at the holes centre line: Z1=the distance from point"1"to point"2"&Z2=0.0,
according to ur givens u should calculate the head losses in the pipe by adding the head losses calculated everytime between the every two points.
notice that the head losses formula is : "hl=flv^2/2gd" ,or "hl=0.8flq^2/gd^5" , where f:friction factor,l:tube length,v:fluid velocity in the tube,d:tube daimeter,q:fluid flow rate.
and for the pressure drop:
H1-H2=deltaP1>>2
H1-H3=deltaP1>>3
H1-4=deltaP1>>4.
hope this help.
thanks.
 
Hi there:

Check out eFunda.com at: http://www.efunda.com where you can find theoretical background information as well as online calculators on fluid mechanics.

Thanks,

Gordan
 

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