Orifice Diameter Impact on Vortex Formation

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SUMMARY

The orifice diameter significantly influences vortex formation in water vortex power plants. A smaller orifice diameter increases the vortex height and strength by reducing the flow rate, as described by the fundamental equation governing flow control devices. Historical investigations by Lord Kelvin and Helmholtz provide foundational insights into vortex dynamics. Understanding the coefficient of discharge (Cd) and its relationship with cross-sectional area (A) is crucial for optimizing vortex performance.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with vortex formation theories by Lord Kelvin and Helmholtz
  • Knowledge of flow control devices, specifically orifice plates
  • Basic mathematical skills for applying flow equations
NEXT STEPS
  • Research the mathematical models governing vortex dynamics, particularly the equations related to flow rate (Q) and cross-sectional area (A)
  • Explore the coefficient of discharge (Cd) and its impact on flow control in orifice plates
  • Investigate experimental setups for measuring vortex strength and height in water vortex power plants
  • Study historical experiments and findings related to vortex formation by Lord Kelvin and Helmholtz
USEFUL FOR

Engineers, researchers, and students in fluid dynamics, particularly those focused on optimizing water vortex power generation systems and understanding vortex behavior in various applications.

hao1030
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can anyone tell me how the orifice diameter can affect the vortex forming ?
no much info from internet , thanks for help~:smile:
 
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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.
 
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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 ...
 
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