یک مدل جدید ریاضی برای جریان در خط لوله گاز تراکم پذیر همراه با نشت

نوع مقاله : مقاله پژوهشی

نویسندگان

• مرجان علییاری ¹
• فائزه فرهادی ²

¹ دانشگاه آیت ا... العظمی بروجردی

² علوم و تحقیقات تهران

10.22067/fum-mech.v31i1.80013

چکیده

در این مقاله، یک مدل خط لوله گاز همراه با نشت ارائه می‌شود. این مدل نیازی به ارزیابی ویژگی‌های تجهیزات پایین‌دستی ندارد و به روش‌های عددی پیچیده تکیه نمی‌کند. تغییرات متغیرهای جریان را می‌توان با دقّت مدل پیش‌بینی کرد. در این مدل، یک رویکرد جدید مبتنی بر شباهت بین خط لوله و مدار الکتریکی پیشنهاد می‌شود، به‌طوری‌که، یک مدار معادل با یک ساختار خاص برای شبیه‌سازی خط لوله نشت استفاده می­شود. این رویکرد نوین را می‌توان برای ارزیابی تلفات ناشی از نشت و راهنمای عملکرد خط لوله و همچنین کمک به تشخیص نشت ارائه کرد. می‌دانیم که عبارات ریاضی متعدّدی در توصیف جریان در خط لوله با نشت فرموله شده است اما حل آنها به‌سادگی امکان‌پذیر نیست. این در حالی است که مدل ریاضی خط لوله با نشت را نیز می‌توان با این روش توسعه داد. این مدل با استفاده از داده‌های حاصل از یک خط لوله گاز واقعی تأیید می‌شود. نتایج شبیه‌سازی به‌خوبی با نتایج تجربی تطابق دارد که این بر صحت مدل و اعتبار و کارایی روش پیشنهادی صحه می‌گذارد.

کلیدواژه‌ها

• خط لوله
• مدل سازی ریاضی
• الگوی هیدرولیکی الکتریکی
• شبیه سازی
• نشت
• مدار معادل

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عنوان مقاله [English]

A New Mathematical Model Gas Flows in Pipeline with Leak

نویسنده [English]

• Faezeh Farhadi ²

¹

²

چکیده [English]

In this paper, a gas pipeline model with leakage is presented. This model does not need to evaluate the characteristics of downstream equipment and does not rely on sophisticated numerical methods. Changes in the flow variables can be accurately predicted by the model. In this model, a new similarity-based approach is proposed between the pipeline and the electrical circuit, in which a circuit equivalent to a specific structure is used to simulate the leakage pipeline. This new approach can be used to assess leakage losses and guide pipeline operation as well as to help detect leaks. We know that many mathematical expressions have been formulated to describe the flow in a pipeline by leakage, but it is not easy to solve. However, the mathematical model of a leaky pipeline can also be developed with this method. This model is validated using data from a real gas pipeline. The simulation results are in good agreement with the experimental results which confirm the validity of the model and the validity and efficiency of the proposed method.

کلیدواژه‌ها [English]

• Pipeline
• Mathematical modeling
• Hydraulic–Electric Analogy
• simulation
• Leakage
• Equivalent Circuit

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