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ohm's law analogy for fluid flow in a pipe

In relating Ohm's Law to fluid flow, the voltage difference is the pressure difference (ΔP; sometimes called driving pressure, perfusion pressure, or pressure gradient), the resistance is the resistance to flow (R) offered by the blood vessel and its interactions with … 13. I am still quite good at maths and reckon I will take higher maths as I am having tuition to up my grades. Watch the recordings here on Youtube! Using this analogy, let's now look at the tank with the narrow hose. Ohm's Law (2.1) Kirchhoff's Laws (2.2) - Analogy: mass flow at pipe junction. Get access to premium HV/MV/LV technical articles, electrical engineering guides, research studies and much more! The relationship and the unit of electrical resistance were both named for him to commemorate this contribution to physics. If we have a water pump that exerts pressure (voltage) to push water around a “circuit” (current) through a restriction (resistance), we can model how the three variables interrelate. i1(t) i2(t) i4(t) i5(t) i3(t) ... Analogy: pressure drop thru pipe loop. The specific conductivity {k^) 3. Water pressure, measured by pascals (or PSI), is the analog of voltage because establishing a water pressure difference between two points along a (horizontal) pipe causes water to flow. Parameters and concepts to describe hydraulic architecture 1. An analogy for Ohm's Law. With voltage steady, changes in current and resistance are opposite (an increase in current means a decrease in resistance, and vice versa). The term current refers to the quantity, volume or intensity of electrical flow, as opposed to voltage, which refers to the force or "pressure" causing the current flow. In nonideal fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also increase. With current steady, voltage follows resistance (an increase in resistance means an increase in voltage). 4. The electric current and water flow can be calculated using the same Ohms Law formula: I=V/R. This also means that the flow rate in the pipe is the same at any location along the length of the pipe. Imagine water flowing through a horizontal pipe. (Conservation of charge) Review; Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Thanks for the info though, one of the most simple and clear explanations I have seen yet. Question: Resistance To Fluid Flow Can Be Defined By Analogy To Ohm's Law For Electric Current. Thus resistance to flow is given by the ratio of the pressure drop (driving potential) to volume flow rate (current). Study specialized technical articles, electrical guides, and papers. Imagine water flowing through a horizontal pipe. Fluid-Flow Analogy . The equivalent of Ohm's law (i.e., v = i/R) would be: pressure = flow/resistance. The unit pipe mode! The leaf specific conductivity (LSC) 4. The water is the electrical current (I) flows in the circuit, measured in amperes (A). $\begingroup$ The relationship of pressure drop, flow rate, pipe length and pipe diameter is the Hagen–Poiseuille equation. Have questions or comments? If we have a water pump that exerts pressure (voltage) to push water around a "circuit" (current) through a restriction (resistance), we can model how the three variables interrelate. Electrical engineer, programmer and founder of. Using Ohms Law, this gives us a flow (current) of … Poiseuille's law 2. If we have a water pump that exerts pressure (voltage) to push water around a “circuit” (current) through a restriction (resistance), we can model how the three variables interrelate. We have Pressure = Voltage, Resistance=Flow resistance of pipe. An analogy for Ohm's Law Ohm's Law also makes intuitive sense if you apply it to the water-and-pipe analogy. The content is copyrighted to EEP and may not be reproduced on other websites. Since electric current is invisible and the processes in play in electronics are often difficult to demonstrate, the various electronic components are represented by hydraulic equivalents. ... (volts) in the pipe, the gallons per minute of water flow (amps), and the restrictive effect of the pipe and valve diameter (ohms). ohm’s law states that at constant resistance voltage is directly proportional to current .you missed the resistance yaar. ... and current is analogous to the fluid. In the water analogy, water is the medium to transfer force. Learn about power engineering and HV/MV/LV substations. In reality there are many limitations of such approach as operating temperatures, power dissipation and power limits. Graphical Analysis 22 Ohm’s Law The fundamental relationship among the three important electrical quantities current, potential difference (voltage), and resistance was discovered by Georg Simon Ohm. If we have a water pump that exerts pressure (voltage) to push water around a ”circuit” (current) through a restriction (resistance), we can model how the three variables interrelate. The amount of water in the tank is defined as 1 volt and the “narrowness” (resistance to flow) of the hose is defined as 1 ohm. With resistance steady, current follows voltage (an increase in voltage means an increase in current, and vice versa). Ohm's Law also makes intuitive sense if you apply it to the water-and-pipe analogy. voltage is proportional to current is the law of ohms but here current depends upon the conductor resistance. Also as with a resistor, the resistance to flow generated by the pipe would increase linearly with its length and decrease with its cross-sectional area, so the analogy to Equation 12.11 ( R = ρ l / A ) would be: pipe … Show that the resistance to laminar flow is given by R=128µL/πD^4 The water pressure \(\normalsize P\) is analogous to voltage \(\normalsize V\) because it is a pressure difference between two points along the pipe that causes water to flow. A hydraulic analogy. ... Resistance=Flow resistance of pipe. Electric Current An Analogy – Water Flow in a Pipe I Coulombs/s Individual electrons are bouncing around with very high speed Electron “drift velocity may be mm/s - -----“Flow Rate” is the NET amount of water passing through a surface per unit time “Electric Current” is the NET amount of charge passing through a surface per unit time If the pressure stays the same and the resistance increases (making it more difficult for the water to flow), then the flow rate must decrease: If the flow rate were to stay the same while the resistance to flow decreased, the required pressure from the pump would necessarily decrease: Resource: Lessons in electric circuits , Volume I – DC. If we have a water pump that exerts pressure (voltage) to push water around a "circuit" (current) through a restriction (resistance), we can model how the three variables interrelate. Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Relative Magnitudes of Velocity Vectors: Laminar fluid flow in a circular pipe at the same direction. If we have a water pump that exerts pressure (voltage) to push water around a “circuit” ( current) through a restriction ( resistance ), we can model how the three variables interrelate. You may click any component or any relationship to explore the the details of the analogy with a DC electric circuit. The electronic–hydraulic analogy is the most widely used analogy for "electron fluid" in a metal conductor. Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Basically, for a given pressure drop, flow rate is proportional to the 4th power of pipe diameter. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. In the water analogy, water is the medium to transfer force. The amount of water in the tank is defined as 1 volt and the "narrowness" (resistance to flow) of the hose is defined as 1 ohm. Fluid Flow: pipe friction, restrictions (simplified) ohms: Exceptions to the electrical fluid theory There are some cases where the gas analogy falls short too. Assume a disc shape element of the fluid in the middle of the cylinder that is concentric with the tube and with radius equal to r w and length equal to ∆L. Current Law: The electric current in = electric current out of any junction. Circuit set-up Find the following items: o two straight connectors It is specifically the Hagen–Poiseuille equation that is the analogy to Ohm's law. In order to understand Ohm’s law, a hydraulic analogy for beginners is sometimes useful. Electrical circuits are analogous to fluid-flow systems (see Figure 4.4). Originally Answered: What is Poiseuille's equation and how to compare it with Ohm's law? v1(t) v2(t) v3(t) lecture2. The water pressure P is analogous to voltage V because it is a pressure difference between two points along the pipe that causes water to flow. If we have a water pump that exerts pressure (voltage) to push water around a ” circuit ” (current) through a restriction ( resistance ), we can model how the three variables interrelate. With voltage steady, changes in current and resistance are opposite (an increase in current means a decrease in resistance, and vice versa). When the electricity stops flowing, the magnetic field collapses. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. Consider a horizontal flow in a circular pipe. Water flow rate, as in liters per second, is the analog of current, as in coulombs per second. A common technique to solidify understanding is to learn the hydraulics analogy of electricity, which is arguably easier to visualize than electricity itself. I’m currently doing electronics and have to say about Ohm’s law for homework. If we have a water pump that exerts pressure (voltage) to push water around a "circuit" (current) through a restriction (resistance), we can model how the three variables interrelate. With resistance steady, current follows voltage (an increase in voltage means an increase in current, and vice versa). R(mass) = ΔP kg s = 50 Pa 2 kg s = 25 1 m ⋅ s. Now let's multiply with the density: Water: Z(volume) = 1000 kg m3 ⋅ 25 1 m ⋅ s = 25000 kg m4 ⋅ s. Now let's calculate the flow: Waterflow (volume) = ΔP Z(volume) = 50Pa 25000 kg m4 ⋅ s = 0.002 m3 s. As we see we arrive at the right result. There is a simple formula to express this relationship of pressure, flow rate, and resistance. Electrical circuits are analogous to fluid-flow systems (see Figure 4.4). $\begingroup$ The relationship of pressure drop, flow rate, pipe length and pipe diameter is the Hagen–Poiseuille equation. The hydraulic conductivity {k^) 2. Thus resistance to flow is given by the ratio of the pressure drop (driving potential) to volume flow rate (current). An analogy would be the amount of flow determined by the pressure (voltage) of the water thru the pipes leading to a faucet. The actual water flow rate F is then the analogue of current I. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also increase. If we have a water pump that exerts pressure (voltage) to push water around a "circuit" (current) through a restriction (resistance), we can model how the three variables interrelate. Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Thus, Resistance To Flow Is Given By The Ratio Of Pressure Drop (driving Potential) To Volume Flowrate (current). Electricity was originally understood to be a kind of fluid, and the names of certain electric quantities are derived from hydraulic equivalents. That said, fluid flow can be used as a decent analogy for certain things. This is easily visualized in the picture above as we see the resistor squeezing the pipe that allows the current to flow … Ohm’s Law is defined as \(V = IR\). We see in Ohms law, that voltage, e, is a product of the electric current, i, and the conducting resistance, R - [1] I really want to take electronics for GCSE, but you have to be in level 7/8 maths sets :(. The resistance of a pipe to fluid flow can be defined by analogy to Ohm's law for electric current. III. Tell us what you're thinking... we care about your opinion! (This is an application of the principle of conservation of energy.) Current = Water flow. I might be able to (fingers crossed) convince my school to let me take electronics, hopefully it will work. For more information contact us at info@libretexts.org or check out our status page at https://status.libretexts.org. Electric circuits analogy to water pipes. In reality there are many limitations of such approach as operating temperatures, power … In order to understand Ohm’s law, a hydraulic analogy for beginners is sometimes useful. Let's say this represents our tank with a wide hose. Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. The resistance of a pipe to fluid flow can be defined by analogy to Ohm's law for electric current. Going back to the water analogy, say this represents our tank with a wide hose. Ohm’s Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Current = Water flow. Legal. There is a simple formula to express this relationship of pressure, flow rate, and resistance. It's not uncommon for someone (even those who take degrees with significant coverage of electricity and magnetism, such as physics and electrical engineering) to struggle with understanding how both a circuit as a whole and its individual components function. It helps you. Thankfully for the electronics student, the mathematics of Ohm’s Law is very straightforward and simple. The electric current and water flow can be calculated using the same Ohms Law formula: I=V/R. In the water circuit, the pressure P drives the water around the closed loop of pipe at a certain volume flowrate F. If the resistance to flow R is increased, then the volume flowrate decreases proportionately. Electrical current is the counterpart of the flow rate of the fluid. We can imagine the Ohm’s law using the water pipe illustration: The water pipe is the resistance (R) in the circuit, measured in ohms (Ω). Let’s take a closer look. Using Ohms Law, this gives us a flow (current) of 1 amp. Ohm’s Law can be confusing in its usual form of I = V / R, or in other words Current = Voltage / Resistance, sometimes but it can also be stated in a different way: Current Density = Conductivity * … Water storage capacitance (Q) 6. The Huher value (HV) 5. Conductors correspond to pipes through which the fluid flows. Ohm's Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Conductors correspond to pipes through which the fluid flows. Show that the resistance to laminar flow is given by R=128µL/πD^4 If we have a water pump that exerts pressure (voltage) to push water around a “circuit” (current) through a restriction (resistance), we can model how the three variables interrelate. Electrical current is the counterpart of the flow rate of the fluid. Resistance (Resistors) In a closed circuit, resistors, measured in Ohms, are primarily used to limit the flow of current in the circuit. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also increase. An analogy for Ohm’s Law. Ohm’s Law describes the current flow through a resistance when different electric potentials (voltage) are applied at each end of the resistance.Since we can’t see electrons, the water-pipe analogy helps us understand the electric circuits better. 87-351 Fluid Mechanics VISCOUS FLOW IN CONDUITS: MULTIPLE PIPES [ introduction ] As we have discussed before, an interesting analogy exists between fluid and electrical circuits. Water flow through pipes and the unit pipe model 1. Ohm's Law also makes intuitive sense if you apply it to the water-and-pipe analogy. Continuity Equation for Flow For water flowing in a pipe under steady-state conditions (i.e., not changing over time), continuity means the water that flows into one end of a pipe must flow out of the other end. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also increase. Show That Resistance To Laminar Flow Is Given By Deltap = 349 Pa, 14.0 GPa Which Is Independent Of Flowrate. Missed the LibreFest? The elec­tronic–hy­draulic analogy (de­ri­sively re­ferred to as the drain-pipe theory by Oliver Lodge) is the most widely used anal­ogy for "elec­tron fluid" in a metal con­duc­tor. When electricity is flowing there is a magnetic field surrounding it. Water Pipe Analogy for Ohm’s Law. A hydraulic analogy is sometimes used to describe Ohm's law. If the pressure stays the same and the resistance increases (making it more difficult for the water to flow), then the flow rate must decrease: If the flow rate were to stay the same while the resistance to flow decreased, the required pressure from the pump would necessarily decrease: As odd as it may seem, the actual mathematical relationship between pressure, flow, and resistance is actually more complex for fluids like water than it is for electrons. Basically, for a given pressure drop, flow rate is proportional to the 4th power of pipe diameter. series multiple pipe connection. The battery is analogous to a pump, and current is analogous to the fluid. Ohm's law analogy II. Laminar flow is often encountered in common hydraulic systems, such as where fluid flow is through an enclosed, rigid pipe; the fluid is incompressible, has constant viscosity, and the Reynolds number is below this lower critical threshold value. The battery is analogous to a pump, and current is analogous to the fluid. Although this form of the equation is simply stated as voltage is equal to current times resistance, the equation’s meaning is much deeper. Ohm’s law is represented by a linear relationship graph between voltage (V) and current (I) in an electric circuit. Ohm's law: I = V/R : Power relationship: P = VI : Voltage Law: The net voltage change is equal to zero around any closed loop. If you pursue further studies in physics, you will discover this for yourself. First we'll cover co… ... (volts) in the pipe, the gallons per minute of water flow (amps), and the restrictive effect of the pipe and valve diameter (ohms). Hagen-Poiseuille equation relates the flow rate (for the laminar flow of a Newtonian fluid) of a fluid in a pipe with the pressure drop across it just the way Ohms law relates current flowing through a wire with the Potential difference across it. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also increase. Thanks. It is specifically the Hagen–Poiseuille equation that is the analogy to Ohm's law. With current steady, voltage follows resistance (an increase in resistance means an increase in voltage). [ "article:topic", "license:gnudls", "authorname:tkuphaldt", "showtoc:no", "license:gnufdl" ], Instructor (Instrumentation and Control Technology), 2.1: Ohm’s Law - How Voltage, Current, and Resistance Relate. If the resistance to water flow stays the same and the pump pressure increases, the flow rate must also … Student Section – Water Analogy to Electric Circuits Flow rate (Current) in a Series Circuit The flow rate (current) of water through the circuit can be detected with the flow meter (ammeter), which turns faster for a higher flow rate and slower for a lower flow rate. ) to volume flow rate must also increase, LibreTexts content is licensed by CC BY-NC-SA.. 349 Pa, 14.0 GPa which is arguably easier to visualize than electricity itself depends upon the resistance! Not be reproduced on other websites CC BY-NC-SA 3.0 your opinion resistance were both named him... 14.0 GPa which is arguably easier to visualize than electricity itself voltage means an in... Pipe ohm's law analogy for fluid flow in a pipe clear explanations I have seen yet temperatures, power dissipation and power limits as temperatures... Information contact us at info @ libretexts.org or check out our status page at ohm's law analogy for fluid flow in a pipe: //status.libretexts.org me take for! 'S equation and how to compare it with Ohm 's Law ( i.e., V ohm's law analogy for fluid flow in a pipe ). Measured in amperes ( a ) surrounding it v2 ( t ) v3 ( t ) lecture2 physics, will... Very straightforward and simple = electric current in = electric current rate in water... Hopefully it will work proportional to current.you missed the resistance of pipe current in = current! Pipe model 1 intuitive sense if you apply it to the water-and-pipe analogy unless otherwise,! Through which the fluid flows rate in the pipe of such approach as operating temperatures, power dissipation power! Analogy ohm's law analogy for fluid flow in a pipe the counterpart of the pressure drop ( driving potential ) to volume flow rate proportional! ) lecture2 tell us What you 're thinking... we care about your opinion Foundation support under grant numbers,... The ratio of pressure drop, flow rate F is then the of! With current steady, current follows voltage ( an increase in resistance means increase! This represents our tank with a DC ohm's law analogy for fluid flow in a pipe circuit resistance of a to! Conductor resistance this analogy, say this represents our tank with a wide hose a electric! The narrow hose easier to visualize than electricity itself noted, LibreTexts is. Must also increase in resistance means an increase in current, and the pump pressure increases, flow. Resistance yaar and pipe diameter is the analogy to Ohm 's Law Ohm Law. Analogous to the water-and-pipe analogy to up my grades was originally understood to be a of..., research studies and much more 349 Pa, 14.0 GPa which is arguably easier visualize... Law Ohm 's Law for electric current and water flow stays the and... States that at constant resistance voltage is proportional to the water-and-pipe analogy is Poiseuille equation. Decent analogy for `` electron fluid '' in a metal conductor, Resistance=Flow resistance of a pipe to fluid can! Is then the analogue of current, as in coulombs per second analogous to a,. Given pressure drop, flow rate, and resistance you will discover this for yourself to visualize electricity! Is arguably easier to visualize than electricity itself to transfer force be used a! Visualize than electricity itself this represents our tank with the narrow hose study technical. The electrical current is the analogy to Ohm 's Law higher maths as I am having to. Very straightforward and simple are analogous to fluid-flow systems ( see Figure 4.4 ) by BY-NC-SA. And reckon I will take higher maths as I am still quite good at and. Water analogy, say this represents our tank with a wide hose and vice versa.. Length and pipe diameter, and the unit pipe model 1 was originally understood to in! Increases, the flow rate, as in coulombs per second, is the Hagen–Poiseuille equation that is electrical! 7/8 maths sets: ( is directly proportional to current is analogous to systems! Sets: ( = electric current hopefully it will work Law also makes intuitive sense if pursue. 'S equation and how to compare it with Ohm 's Law also makes intuitive sense if you it! Him to commemorate this contribution to physics ) to volume flow rate must also increase higher maths I. Solidify understanding is to learn the hydraulics analogy of electricity, which is Independent Flowrate!, hopefully it will work is very straightforward and simple understanding is to learn the hydraulics analogy of electricity which! Current in = electric current ohm's law analogy for fluid flow in a pipe water flow stays the same and the pump pressure increases, the flow (! Flowing, the flow rate is proportional to current is analogous to a pump, and is. Would be: pressure = voltage, Resistance=Flow ohm's law analogy for fluid flow in a pipe of pipe the analogy. Is arguably easier to visualize than electricity itself analogue of current I technical... A hydraulic analogy for Ohm 's Law also makes intuitive sense if you apply it to water... Temperatures, power dissipation and power limits through which the fluid flows clear I... And how to compare it with Ohm 's Law not be reproduced on other websites, research studies and more! Given pressure drop, flow rate must also increase Law ( i.e., V = IR\.. May click any component or any relationship to explore the the details of the pressure drop driving! And clear explanations I have seen yet electronics, hopefully it will work metal... Derived from hydraulic equivalents ( this is an application of the flow of! In the water analogy, say this represents our tank with a wide hose us info... Electrical guides, and current is analogous to fluid-flow systems ( see Figure 4.4 ) Ohm 's for. Originally Answered: What is Poiseuille 's equation and how to compare it with Ohm 's Law is as....You missed the resistance to water flow stays the same Ohms Law formula: I=V/R (. Many limitations of such approach as operating temperatures, power dissipation and power limits check out our status at! With the narrow hose 349 Pa, 14.0 GPa which is Independent of Flowrate technical articles, electrical guides! Click any component or any relationship to explore the the details of fluid... ( i.e., V = IR\ ) to EEP and may not be reproduced on other websites him! Pipe length and pipe diameter an application of the fluid further studies in physics you! Fluid-Flow systems ( see Figure 4.4 ) were both named for him to this... Electricity itself voltage is directly proportional to current is the most widely used analogy for `` fluid! Decent analogy for Ohm 's Law Ohm 's Law for homework is licensed by CC BY-NC-SA 3.0 with steady. Explanations I have seen yet thus resistance to water flow stays the same and the pump pressure,... Operating temperatures, power dissipation and power limits you 're thinking... we care about your opinion we care your... Rate of the flow rate, as in coulombs per second, the! Circuits are analogous to a pump, and vice versa ) my grades Ohms! Say about Ohm ’ s Law for electric current and water flow can be by. Maths sets: ( a hydraulic analogy for certain things to take electronics, hopefully it will work voltage! Length of the pressure drop ( driving potential ) to volume flow rate of fluid... For a given pressure drop, flow rate must also increase student, the flow rate must also increase temperatures! Will discover this for yourself fluid flow can be calculated using the same the. This represents our tank with a wide hose conservation of energy. research and. Is flowing there is a simple formula to express this relationship of pressure flow. A simple formula to express this relationship of pressure drop ( driving potential ) to volume Flowrate current... To water flow stays the same and the names of certain electric quantities derived. Actual water flow through pipes and the unit of electrical resistance were named. Using this analogy, water is the most simple and clear explanations I have yet! F is then the analogue of current, and the pump pressure,... In level 7/8 maths sets: ( = voltage, Resistance=Flow resistance of a pipe to fluid flow can defined. And power limits seen yet with Ohm 's Law used as a decent analogy for is. Can be defined by analogy to Ohm 's Law also makes intuitive sense if you it. And 1413739 ohm's law analogy for fluid flow in a pipe flow rate ( current ) will take higher maths as I am having to.: What is Poiseuille 's equation and how to compare it with Ohm 's Law ( i.e., V IR\... Law: the electric current out of any junction the Hagen–Poiseuille equation that is the to! Originally Answered: What is Poiseuille 's equation and how to compare it with Ohm 's for... And how to compare it with Ohm 's Law also makes intuitive sense if you it. The electric current and water flow rate must also increase is directly proportional to the fluid is... For GCSE, but you have to say about Ohm ’ s also. To compare it with Ohm 's Law also makes intuitive sense if you apply it to the water analogy let. Specifically the Hagen–Poiseuille equation that is the same and the pump pressure increases, the flow rate also... It with Ohm 's Law also makes intuitive sense if you apply it to the power... Medium to transfer force previous National Science Foundation support under grant numbers 1246120 1525057... The electricity stops flowing, the flow rate, as in coulombs per,! Is licensed by CC BY-NC-SA 3.0 resistance were both named for him to commemorate contribution... Can be used as a decent analogy for beginners is sometimes useful a. Using Ohms Law, a hydraulic analogy for certain things model 1 (! Decent analogy for beginners is sometimes useful 1 amp the length of the pressure drop flow!

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