The Relationship Between Flow Rate, Flow Velocity, and Pipe Diameter in Piping Systems

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ສາລະບານ

In pipeline systems, we often encounter parameters such as flow rate, flow velocity, and pipe diameter. These data are very important; they are interconnected and play a key role in evaluating the stability and performance of the entire pipeline system.

Whether in municipal engineering, ອຸດສາຫະກໍາ, or irrigation, pipeline systems are widely used. These pipelines are usually used to transport water. When selecting pipes or during the construction of pipeline systems, engineers need to understand parameters such as flow rate, flow velocity, and pipe diameter, so that the most suitable pipes can be matched for the project.

The author believes that understanding the relationship between flow rate, flow velocity, and pipe diameter is very important. ດັ່ງນັ້ນ, this article will provide a detailed explanation from four aspects: the meanings of the three parameters, their calculation formulas, the relationships among them, and a comparison table.

The Meanings of Flow Rate, Flow Velocity, and Pipe Diameter

In a pipeline system, flow rate refers to the volume of water passing through the pipe cross-section within a certain period of time, and it can be represented byQ.Its common units include cubic meters per second (m³/s), cubic meters per hour (m³/ຊມ), liters per second (L/s), liters per hour (ລິດ/ຊມ), ແລະອື່ນໆ.

In a pipeline system, flow velocity refers to the speed at which water flows inside the pipe, and it can be represented byV.Its common unit is meters per second (m/s).

In a pipeline system, pipe diameter refers to the inner diameter of the pipe, and it can be represented byD.Its common units include millimeters (mm) and meters (ມ).

Calculation Formulas of Flow Rate, Flow Velocity, and Pipe Diameter

There is a relationship between flow rate, flow velocity, and pipe diameter. They can be calculated using three sets of formulas. ຕໍ່ໄປ, please follow my reasoning closely as we derive these three formulas step by step.

ຫນ້າທໍາອິດ, let us clarify the related letter symbols. The calculation process will be expressed using these symbols. The symbols are as follows:

  • Flow rate: Q
  • Flow velocity: V
  • Pipe diameter: D
  • Pipe cross-sectional area: s

ຈາກນັ້ນ, it should be noted that because the vast majority of pipes are circular, the following derivation mainly applies to circular pipes. Our derivation direction is: to derive the calculation formula for flow rate based on known flow velocity and pipe diameter.

Step 1: Calculate the pipe cross-sectional area

The pipe cross-sectional area is essentially the area of a circle, and the pipe diameter is the diameter of that circle. ດັ່ງນັ້ນ, knowing D, the area of the circle is easy to calculate. The formula is: S=πD²/4

Step 2: Calculate the flow rate in the pipe

From Step 1, we already know the pipe’s cross-sectional area, and we also know the flow velocity. ດັ່ງນັ້ນ, the flow rate is easy to calculate. The formula is: Q=SV, or Q=VπD²/4

ທີ່ສຸດ, using the flow rate formula derived in Step 2, we can also derive the calculation formulas for flow velocity and pipe diameter. These three formulas are shown below.

Q = π D² V / 4

V = 4Q / π D²

D = √(4Q / π V)

ແນ່ນອນ, they can also be expressed using more professional mathematical formulas

Formula illustration - flow rate, flow velocity, pipe diameter

The Relationship Between Flow Rate, Flow Velocity, and Pipe Diameter

Through the three formulas we derived above, we can clearly see the mutual relationship between flow rate, flow velocity, and pipe diameter. The summary is as follows:

1.When the flow velocity is constant, the flow rate is proportional to the square of the pipe diameter.

2.ເມື່ອເສັ້ນຜ່າສູນກາງຂອງທໍ່ຄົງທີ່, ຄວາມໄວການໄຫຼແມ່ນອັດຕາສ່ວນກັບອັດຕາການໄຫຼ.

3.ເມື່ອອັດຕາການໄຫຼຄົງທີ່, ຄວາມໄວຂອງການໄຫຼແມ່ນອັດຕາສ່ວນກັບສີ່ຫຼ່ຽມຂອງເສັ້ນຜ່າສູນກາງຂອງທໍ່.

ຕາຕະລາງປຽບທຽບການອ້າງອີງ

ຈາກຂ້າງເທິງ, ພວກເຮົາໄດ້ຮູ້ແລ້ວກ່ຽວກັບສູດການຄິດໄລ່ລະຫວ່າງອັດຕາການໄຫຼ, flow velocity, and pipe diameter. ພວກເຮົາຄວນຈະສາມາດນໍາໃຊ້ສູດເຫຼົ່ານີ້ຢ່າງຊໍານິຊໍານານເພື່ອຄິດໄລ່ຄ່າທີ່ພວກເຮົາຕ້ອງການ. ແນວໃດກໍ່ຕາມ, ມັນປະຕິເສດບໍ່ໄດ້ວ່າຂະບວນການຄິດໄລ່ແມ່ນຂ້ອນຂ້າງສັບສົນ, ແລະໃນເວລາທີ່ຫນ່ວຍງານຂອງສາມຕົວກໍານົດການບໍ່ສອດຄ່ອງ, ພວກເຮົາຍັງຈໍາເປັນຕ້ອງປະຕິບັດການແປງຫນ່ວຍ.

ດັ່ງນັ້ນ, ເພື່ອປັບປຸງປະສິດທິພາບ, ຂ້າ​ພະ​ເຈົ້າ​ສະ​ຫນອງ​ໃຫ້​ທ່ານ​ກັບ​ຕາ​ຕະ​ລາງ​ການ​ປຽບ​ທຽບ​ກະ​ສານ​ອ້າງ​ອີງ​. ຕາຕະລາງນີ້ສະແດງຕົວກໍານົດການທີ່ໃຊ້ທົ່ວໄປທີ່ສຸດທີ່ກ່ຽວຂ້ອງກັບຄວາມໄວການໄຫຼ, flow rate, ແລະເສັ້ນຜ່າສູນກາງທໍ່ໃນລະບົບທໍ່ສໍາລັບການອ້າງອີງຂອງທ່ານ.

ກະລຸນາສັງເກດວ່າຢູ່ໃນຕາຕະລາງນີ້, ຫນ່ວຍບໍລິການສໍາລັບເສັ້ນຜ່າສູນກາງຂອງທໍ່ແມ່ນ “ມມ”, ຫນ່ວຍບໍລິການສໍາລັບອັດຕາການໄຫຼແມ່ນ "m³/ຊມ"ແລະຫົວຫນ່ວຍສໍາລັບຄວາມໄວການໄຫຼແມ່ນ"m/s". (ໃນຕາຕະລາງ, ຕົວກໍານົດການສໍາລັບຄວາມໄວການໄຫຼແລະເສັ້ນຜ່າສູນກາງຂອງທໍ່ປະກອບມີຫົວຫນ່ວຍ, ໃນຂະນະທີ່ອັດຕາການໄຫຼບໍ່. ນີ້ແມ່ນເພື່ອຊ່ວຍໃຫ້ແນ່ໃຈວ່າທ່ານບໍ່ສັບສົນພວກເຂົາ.)

ອັດຕາການໄຫຼ, Flow Velocity, ຕາຕະລາງປຽບທຽບເສັ້ນຜ່າສູນກາງຂອງທໍ່
ເສັ້ນຜ່າສູນກາງ(mm)Flow Velocity(m/s)
0.4m/s0.6m/s0.8m/s1m/s1.2m/s1.4m/s1.6m/s1.8m/s2m/s2.2m/s2.4m/s2.6m/s2.8m/s3m/s
20mm0.50.70.91.11.41.61.822.32.52.72.93.23.4
25mm0.71.11.41.82.12.52.83.23.53.94.24.64.95.3
32mm1.21.72.32.93.54.14.65.25.86.46.97.58.18.7
40mm1.82.73.64.55.46.37.28.191010.911.812.713.6
50mm2.84.25.77.18.59.911.312.714.115.61718.419.821.2
65mm4.87.29.611.914.316.719.121.523.926.328.731.133.435.8
80mm7.210.914.518.121.725.32932.636.239.843.44750.754.3
100mm11.31722.628.333.939.645.250.956.562.267.973.579.284.8
125mm17.726.535.344.25361.970.779.588.497.2106114.9123.7132.5
150mm25.438.250.963.676.389.1101.8114.5127.2140152.7165.4178.1190.9
200mm45.267.990.5113.1135.7158.3181203.6226.2248.8271.4294.1316.7339.3
250mm70.7106141.4176.7212.1247.4282.7318.1353.4388.8424.1459.5494.8530.1
300mm101.8152.7203.6254.5305.4356.3407.1458508.9559.8610.7661.6712.5763.4
350mm138.5207.8277.1346.4415.6484.9554.2623.4692.7762831.3900.5969.81039.1
400mm181271.4361.9452.4542.9633.3723.8814.3904.8995.31085.71176.21266.71357.2
450mm229343.5458572.6687.1801.6916.11030.61145.11259.61374.11488.61603.21717.7

ສະຫຼຸບ

ໂດຍຜ່ານການຕອບນີ້, ໃນປັດຈຸບັນທ່ານຄວນເຂົ້າໃຈຢ່າງຈະແຈ້ງກ່ຽວກັບຄວາມສໍາພັນແລະສູດການຄິດໄລ່ລະຫວ່າງອັດຕາການໄຫຼ, flow velocity, and pipe diameter. ຂ້າພະເຈົ້າຫວັງວ່າເນື້ອໃນຂອງບົດຄວາມນີ້ຈະເປັນປະໂຫຍດສໍາລັບທ່ານ.

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