Orifice Diameter Impact on Vortex Formation

AI Thread Summary
The orifice diameter significantly influences vortex formation in water vortex power plants by affecting flow rate and vortex strength. A smaller orifice diameter can lead to a higher vortex due to reduced flow rates, which is governed by the equation Q = Cd A √(2gh). Historical research by Lord Kelvin and Helmholtz provides foundational insights into vortex behavior. Understanding the relationship between orifice size and flow dynamics is crucial for optimizing vortex performance. Proper adjustments to the orifice can enhance the efficiency of water vortex systems.
hao1030
Messages
3
Reaction score
0
can anyone tell me how the orifice diameter can affect the vortex forming ?
no much info from internet , thanks for help~:smile:
 
Physics news on Phys.org
hao1030, Welcome to Physics Forums!

Are you asking about a "bathtub" vortex? What orfice are you referring to? Will you please describe your experimental setup in more detail? This will help all the members here to respond more effectively.

Thank you, Bobbywhy
 
Bobbywhy said:
hao1030, Welcome to Physics Forums!

Are you asking about a "bathtub" vortex? What orfice are you referring to? Will you please describe your experimental setup in more detail? This will help all the members here to respond more effectively.

Thank you, Bobbywhy

it is water vortex power plant
http://en.wikipedia.org/wiki/Gravitation_water_vortex_power_plant
i have a basin with a certain orifice diameter , i want to know how this orifice can influence my vortex forming and it height/ strength .
 
Check PF
https://www.physicsforums.com/showthread.php?t=9987

http://mysite.du.edu/~jcalvert/tech/fluids/vortex.htm

http://depts.washington.edu/chemcrs/bulkdisk/chem520A_aut05/notes_Week_05_Lecture_11.pdf

Vortex was investigated by Lord Levin and Helmholtz in the 1800's so you might want to search for their theorems.
 
Last edited by a moderator:
Hope this helps! Here find a pdf document with the mathematical formula for controlling the outflow (which appears to be applicable from a water vortex) by varying the cross sectional area of the opening:

618 WSUD09: CONFERENCE PROCEEDINGS
TOWARDS WATER SENSITIVE CITIES AND CITIZENS: THE 6TH INTERNATIONAL WATER SENSITIVE URBAN DESIGN CONFERENCE AND HYDROPOLIS #3

Flow Controls
Conventional flow control devices such as orifice plates, throttle pipes and penstocks have traditionally been used for controlling outflows from retention and detention structures. The fundamental equation governing the operating characteristics of most flow control devices is given by equation 1: The formula shows that in order to reduce flow rate (Q) for a given operating head (h), you either need to reduce the cross sectional area (A) of the outlet or the co-efficient of discharge (Cd) for the flow control device. Orifice plates have a fixed co-efficient of discharge (typically ~ 0.6) which means that smaller aperture sizes are needed to reduce flow rates.

Where Q = Continuation flow in m3/s
Cd = Coefficient of discharge
A = Cross-sectional area of outlet (m2)
g = Acceleration due to gravity (m/s2)
h = Differential head across flow control (m)
Q = Cd A 2 gh

www.rocla.com.au/Drawings/WSUD%2009_Vortex%20Flow%20 ...
 
Last edited by a moderator:
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top