تحلیل نیمرخ طولی سطح آب درون مصالح سنگریزه‌ای با استفاده از تئوری جریان متغیر تدریجی با درنظرگرفتن نیروی درگ

نوع مقاله : مقاله پژوهشی

نویسندگان

1 1. داﻧﺸﺠﻮی ﮐﺎرﺷﻨﺎﺳﯽ ارﺷﺪ ﻣﻬﻨﺪﺳﯽ آب و سازه هیدرولیکی،گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه زنجان، زنجان، ایران

2 دانشیار، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه زنجان، زنجان، ایران

3 استادیار، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه زنجان، زنجان، ایران

چکیده

ﺗﺤﻠﯿﻞ ﺟﺮﯾﺎن در درون ﻣﺼﺎﻟﺢ ﺳﻨﮕﺮﯾﺰه‌ای اﻏﻠﺐ ﺑﺎ ﺣﻞ ﻣﻌﺎدﻟﻪ دﯾﻔﺮاﻧﺴﯿﻠﯽ ﮐﻪ از ﺗﺮﮐﯿﺐ راﺑﻄﻪ ﻏﯿﺮﺧﻄﯽ [i=mvn] و ﻣﻌﺎدﻟﻪ ﭘﯿﻮﺳﺘﮕﯽ ﺑﻪ دﺳﺖ ﻣﯽآﯾﺪ، اﻧﺠﺎم ﻣﯽﮔﯿﺮد. اﯾﻦ ﻣﻌﺎدﻟﻪ دﯾﻔﺮاﻧﺴﯿﻠﯽ اولین بار توسط پارکین توسعه داده‌ شده و حل آن ﺑﻪ روش ﺗﻔﺎﺿﻞ ﻣﺤﺪود و ﻣﺘﻨﺎﺳﺐ ﺑﺎ اعمال ﺷﺮاﯾﻂ ﻣﺮزی ﻣﺴﺎﺋﻞ ﻣﻮرد ﻧﻈﺮ، ﺑﻪﻧﺴﺒﺖ ﺣﺠﯿﻢ و وﻗﺖﮔﯿﺮ اﺳﺖ. اﯾﻦ ﻣﺤﺎﺳﺒﺎت در ﺷﺮاﯾﻄﯽ ﮐﻪ ﻧﯿﻤﺮخ ﺳﻄﺢ آب در درون ﻣﺼﺎﻟﺢ ﺳﻨﮕﺮﯾﺰه‌ای ﻣﺸﺨﺺ ﻧﺒﺎﺷﺪ، ﺑﺎ ﻣﺸﮑﻼت ﺑﯿﺸﺘﺮی روﺑﻪ‌رو ﺧﻮاﻫﺪ ﺑﻮد. ﺑﺮای ﺗﺤﻠﯿﻞ ﺟﺮﯾﺎن در ﻣﺼﺎﻟﺢ ﺳﻨﮕﺮﯾﺰه‌ای ﻣﯽﺗﻮان از روش دﯾﮕﺮی ﮐﻪ ﻣﺘﮑﯽ ﺑﻪ ﺗﺌﻮری ﺟﺮﯾﺎن ﻣﺘﻐﯿﺮ ﺗﺪرﯾﺠﯽ اﺳﺖ، اﺳﺘﻔﺎده ﮐﺮد. ﻣﺤﺎﺳﺒﺎت در اﯾﻦ روش در ﻣﻘﺎﯾﺴﻪ ﺑﺎ روش ﻗﺒﻠﯽ ﺑﺴﯿﺎر ﺳﺎدهﺗﺮ و ﮐﻢ ﺣﺠﻢﺗﺮ اﺳﺖ. بررسی‌های انجام شده نشان می‌دهد که عدم در نظر گرفتن نیروی درگ در تئوری جریان‌های متغیر تدریجی باعث ایجاد خطای بزرگ در بخش‌هایی از جریان که انحنای خطوط جریان و سطح آب زیاد است، می‌گردد. در پژوهش ﺣﺎﺿﺮ، برای اولین بار ﺑﺎ استفاده از نتایج آزﻣﺎﯾﺶﻫﺎی انجام شده توسط نگارندگان مقاله روی اﻧﻮاع ﻣﺨﺘﻠﻒ ﻣﺼﺎﻟﺢ ﺳﻨﮕﺮﯾﺰه‌ای، به بررسی تاثیر نیروی درگ بر روی دقت محاسبات نیمرخ سطح آب با استفاده از تئوری جریان‌های متغیر تدریجی پرداخته شده است. نتایج نشان می‌دهد که با در نظر گرفتن نیروی درگ، دقت محاسبات نیمرخ سطح آب در جریان ماندگار به‌ویژه در بخش‌هایی که انحنای جریان زیاد است به‌طور قابل‌توجهی افزایش می‌یابد و می‌توان به جواب‌های امیدوارکننده‌ای دست‌یافت.

کلیدواژه‌ها

عنوان مقاله [English]

Longitude Profile Analysis of Water Table in Rockfill Materials Using Gradually Varied Flow Theory with Consideration of Drag Force

نویسندگان [English]

  • Mohammad Gudarzi 1
  • Jalal Bazargan 2
  • Seyyed Mohammad Shoaei 3
1 M.Sc. Student in Water and Hydraulic Structures, Department of Civil Engineering, Faculty of Engineering, Zanjan University, Zanjan, Iran
2 Associate Professor, Department of Civil Engineering, Faculty of Engineering, Zanjan University, Zanjan, Iran
3 Assistant Professor, Department of Civil Engineering, Faculty of Engineering, Zanjan University, Zanjan, Iran
چکیده [English]

The flow analysis in rockfill materials is often fulfilled by solving differential equations that combine non-linear equation [i=mvn] and continuity equation. This differential equation has first been developed by Parkin. It's solution by finite difference method is massive and time consuming, proportion to boundary conditions at this particular case. These calculations would end up with more significant problems where the water table profile is not specified inside the rockfill material. For flow analysis in rockfill material, another method can be used which is based on the gradually varied flow theory. This method is very simple and less massive. Literature review shows a significant error in parts of flow in which the curvature of the streamlines is high, if drag force is not considered in the gradually varied flow theory. In the current study for the first time, using experimental data of different rockfill materials, the effect of drag force on water profile calculation accuracy was investigated considering gradually varied flow theory. The results show by considering drag force, the calculation accuracy of water profile at permanent flow, especially in high flow curve, would significantly increase and a promising results could be obtained.

کلیدواژه‌ها [English]

  • Porous media
  • Rockfill materials
  • Gradually varied flow
  • Non-Darcy flow
  • Drag force

مراجع

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تحقیقات آب و خاک ایران
دوره 51، شماره 2
اردیبهشت 1399
صفحه 403-415

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