Name: venturi meter flow rate from pressure
Uploaded: 2026-01-30T03:08:31.000Z
Duration: 1 min 16 s
Channel: JoVE

Atık su akış hızını ölçmek için bir kanalizasyon sistemine bir Venturi ölçer monte edilmiştir. Akış hızı biliniyorsa ve viskoz etkiler ihmal edilebilir düzeydeyse, akış ölçere bağlı manometrenin gösterdiği basınç farkı nedir?
İlk olarak, ilgili çaplarını kullanarak hem borunun hem de boğazın kesit alanlarını hesaplayın.
Ardından, süreklilik denklemini kullanarak, verilen akış hızına göre her iki bölümdeki hızları belirleyin.
Alan ve hız ters orantılı olduğundan, atık su daha büyük çaplı borudan daha küçük boğaza doğru hareket ettikçe hızlanacaktır.
Ardından, akıştaki iki nokta arasındaki basınç farkını hızdaki değişimle ilişkilendiren Bernoulli denklemini uygulayın.
Bu denklem, su daha büyük borudan daha küçük boğaza hareket ettiğinde hız arttıkça, buna karşılık gelen bir basınç düşüşü olacağını gösterir.
Son olarak, hızları Bernoulli denklemine koyarak boru ile boğaz arasındaki basınç farkını hesaplayın.
Debimetreye takılan manometre, nihai basınç farkını gösterecektir.

bernoulli denklemi-problem Çözme

Venturi ölçer, boru hatlarındaki akışkanın debisini ölçmek için olmazsa olmazdır. Bernoulli denklemi tarafından tanımlanan akışkan hızı ve basınç arasındaki ilişkiyi kullanır. Bir kanalizasyon sistemine takıldığında, Venturi ölçer basınç farklarını ölçerek atık su debisini doğru bir şekilde belirler.

 İlk adım, basınç göstergesi tarafından belirtilen basınç farkını analiz etmek için borunun ve Venturi boğazının kesit alanlarını hesaplamaktır. Daha sonra, sıkıştırılamaz bir akışkan için hacimsel debinin (Q) boru hattı boyunca sabit kaldığını belirten süreklilik denklemi uygulanır:

<img alt="Equation 1" src="/files/ftp_upload/18035/18035_Equation_1.svg" style="text-align: center; height: 12px;">

 A_1 ve A_2 boru ve boğaz kesit alanlarıdır ve V_1 ve V_2 bu bölümlerdeki akışkan hızlarıdır. Denklemi yeniden düzenleyerek boğazdaki hız şu şekilde ifade edilebilir:

<img alt="Equation 2" src="/files/ftp_upload/18035/18035_Equation_2.svg" style="text-align: center; height: 30px;">

 Böylece, V_1 ve V_2 hızları belirli bir debi için hesaplanabilir.

 Bernoulli denklemi, ideal bir akışkandaki basınç ve hızı şu şekilde ilişkilendirir:

<img alt="Equation 3" src="/files/ftp_upload/18035/18035_Equation_3.svg" style="text-align: center; height: 27px;">

 Burada, P_1 ve P_2 borudaki ve boğazdaki basınçlardır ve ⍴ akışkanın yoğunluğudur. Basınç farkı (P_1 - P_2), V_1 ve V_2 hızlarını bu denkleme koyarak hesaplanabilir. Basınç göstergesi tarafından belirtilen bu basınç düşüşü (ΔP), atık suyun daha dar boğazdan akmasıyla birlikte hızdaki artışı yansıtır ve enerji tasarrufu ile uyumludur.

Bernoulli Denklemi-Problem Çözme

Atık su akış hızını ölçmek için bir kanalizasyon sistemine bir Venturi ölçer monte edilmiştir. Akış hızı biliniyorsa ve viskoz etkiler ihmal edilebilir düzeydeyse, ne ...

Education

JoVE Core

Civil Engineering

İnşaat Mühendisliği

Unit 1

Ünite 1

Fluid Dynamics

Akışkanlar Dinamiği

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

Bernoulli's Equation: Problem Solving

venturi meter flow rate from pressure

A Venturi meter measures fluid flow rate in a pipeline by using pressure changes and Bernoulli's equation. In a sewage system, it can be used to determine wastewater flow rate by reading the pressure difference across the meter. The narrowed throat makes the fluid speed up, and that change in speed is linked to pressure drop.

The first step is to find the cross-sectional areas of the pipe and the Venturi throat. These areas are needed to interpret the pressure difference shown on the pressure gauge. Next, the continuity equation is applied. For an incompressible fluid, the volumetric flow rate Q stays constant, and the pipe and throat areas are written as A1 and A2 with velocities V1 and V2.

From the continuity equation, the throat velocity can be rearranged and calculated from the flow rate. Once V1 and V2 are known, Bernoulli's equation is used to relate pressure and velocity in an ideal fluid. With the fluid density included, the pressures P1 and P2 in the pipe and throat can be compared to find the pressure difference.

Substituting the velocities into Bernoulli's equation gives the pressure drop, ΔP. That pressure drop is the value indicated by the pressure gauge. It reflects the increase in fluid speed as wastewater moves through the narrower throat, which follows energy conservation.

Venturi Meter Flow Rate from Pressure

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bernoulli's equation: problem solving

A Venturi meter measures fluid flow rate in a pipeline by using pressure changes and Bernoulli's equation. In a sewage system, it can be used to determine wastewater flow rate by reading the pressure difference across the meter. The narrowed throat makes the fluid speed up, and that change in speed is linked to pressure drop. The first step is to find the cross-sectional areas of the pipe and the Venturi throat. These areas are needed to interpret the pressure difference shown on the pressure...

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key terms and concepts

See how a Venturi meter uses continuity and Bernoulli's equation to turn pressure differences into wastewater flow rate in a sewage system.

Venturi Meter Flow Rate from Pressure | JoVE K12

JoVE Core Civil Engineering provides a foundational exploration of essential construction materials in civil engineering, focusing on bricks, stones, steel, wood, and concrete through easy-to-understand animated videos. This collection covers the properties, manufacturing processes, and practical applications of these materials. Additionally, the accompanied science-in-action videos demonstrate the research experiments performed in laboratories.

civil engineering

Venturi Meter Flow Rate from Pressure

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