Reynolds number Definition and 99 Threads

  1. M

    Super Easy Reynolds Number Question

    hey pf! when it comes to calculating the reynolds number, i realize it is defined as \frac{inertia forces}{viscous forces}=\frac{ L V}{\nu} thus, if we have a plate of length 20 ft. with fluid flowing around it, would L=20? if so, is this always the case? would we always have L=the length of...
  2. P

    When calculating Reynolds number, when do I use dynamic/kinetic viscos

    When calculating Reynolds number, when do I use dynamic viscosity and when do I use kinematic viscosity? In a pipe with air flowing inside it, what would you use when calculating Reynolds number and why?
  3. M

    CCalc - Calculating Reynolds Number for an Impinging Jet

    I am trying to work out a reynolds number for an impinging jet using air. If I have: μ=1.8*10-5 kg/ms ρ=1.2 kg/m3 Velocity = 90m/s Nozzle Diameter=15mm is it Re = ρ u dh / μ Which is (1.2 kg/m3*90m/s*0.015m)/1.8*10-5 kg/ms Thanks M
  4. N

    Reynolds number and drag coefficient of a cylinder

    Lately, I have conducted an experiment where I dragged various circular cylinders through water in order to find the resistance, and hopefully also the drag coefficient. It seems to me that this coefficient is dependent on what is called the Reynolds number. Using some sources, I can easily find...
  5. B

    Reynolds Number and its Characteristic Length?

    Hi I am a little confused as to what length to use as the characteristic length of the Reynolds number for a body in and incompressible flow that has no boundary conditions(ie there all open). im going to try and draw a few examples to help me out..(i have no idea why..) from what i have read...
  6. K

    Reynolds number and its relation to laminar and turbulent flow

    So I understand that Reynolds number is the ratio of intertial forces to viscous forces but how exactly does this relate to flow? Why is it that when viscous forces dominate one gets a laminar flow? How to conceptualize?
  7. A

    Low Reynolds Number Flow Visualization Techniques

    Just as the thread says, I am looking for some good flow visualization techniques at low Reynolds numbers. I am working on the design of a small recirculating water tunnel that I think can be built for ~$100. I cannot get a specific RE at the moment as I am still doing a preliminary feasibility...
  8. S

    Reynolds Number Regarding Turbulent Intensity

    Hello, I have a question regarding Reynolds numbers. As I understand, the higher a Reynolds number, the more turbulent a flow becomes, with Re>4000 considered turbulent. I have a model where I've calculated a Reynolds number of 10^7, and when going to set my model boundary conditions I'm...
  9. S

    Calculate Reynolds Number for NACA 4412 Wing

    hey guys, I would like to know about reynold's number for a wing I have designed a NACA 4412 wing which has wingroot = a , wingtip = b and winglet tip = c (a,b,c are any integers or decimals) please tell me the formula of calculating D for the eqn of reynolds number = ρVD/μ additional...
  10. C

    Reynolds Number and Power Number Problem

    Homework Statement If the Reynolds number is 4000, what is the Power (P) required in units of watts at a shaft speed (n) of 0.03 Hz? Assume the system contains acetone, with a kinematic viscosity of 0.419 stokes. The density of acetone is 0.785 grams per cubed centimeter. Us Curve B in the...
  11. B

    Reynolds number and the relationship with lift and drag.

    Hello I am preparing for my aerodynamics exam and I'm having trouble with this question. Why is the Reynolds number of the airflow over a wing important in determining the value of lift and dragThe Reynolds number is important for determining laminar and turbulent flows over a body. It is a...
  12. F

    Drag Coeffecient and Reynolds Number. HELP

    Homework Statement From dimensional analysis it is found that the drag force F that a fluid (density ρ, viscosity μ) exerts on a sphere (diameter d) moving through a fluid at a velocity u is given by cD = f(Re), where . The table below gives the relationship between the drag...
  13. G

    Reynolds Number Calculations for Duct Flow with Obstructions

    I'm trying to calculate the reynolds number for flow inside an air duct with an obstruction. Basically the set up involves cooling electronics by placing aerodynamic "shrouds" over the device to improve the heat transfer. So far a cube is being used to approximate the shape of the device. The...
  14. M

    Calculating Reynolds number in wind tunnel

    when calculating a Reynolds number for an obstacle in wind tunnel Re = air density * air velocity * D / Dynamic viscosity D here is the characteristic length of the immersed body ( frontal length ) 2 dimensional problem Or the Hydraulic diameter which relates the tunnel dimensions to the...
  15. R

    Flow Separation of Airfoil in terms of Reynolds Number

    Hi I know that for an airfoil, it's typical to describe stall in terms of angle of attack. I'm wondering, how does Re play a role in flow separation of an airfoil (and for objects in general such as a plate, sphere, or cylinder)? One Wikipedia (http://en.wikipedia.org/wiki/Flow_separation) it...
  16. S

    Physical Interpretation of Reynolds Number

    Wikipedia: "Reynolds Number is a dimensionless number that gives a measure of the ratio of inertial forces to viscous forces." What is meant by the inertial forces? I have a much better intuition of viscosity. But it seems to be like the Reynolds Number predicts turbulent flow for a...
  17. M

    Reynolds number for case flow over airfoil

    In which range of Reynolds numeber is laminar flow for airfoil? Is it Re < 5 x 10^5? How about turbulence case?
  18. J

    Is the Flow Laminar or Turbulent? Determining with Reynolds Number

    Homework Statement For the following situations of steady flow, determine whether the flow is laminar or turbulent based on Reynolds number: water at 10oC flowing at an average velocity of 2 m/s in a 100-mm pipe, (Viscosity of water at 10oC: 1.31 cP, density: 1000 kg/m3) Homework...
  19. K

    Can the Magnetic Reynolds Number be Proven with Simple Math?

    Is there a simple mathematical way of proving the left hand side equals the right hand side (see attached image)? Any help will be much appreciated as I'm desperately trying to work out exactly where the magnetic Reynolds number comes from. I can derive the left hand side (its simply the ratio...
  20. T

    Reynolds Number and Friction Factor: How Does It Work?

    So, I understand that when reynolds number increases, the fluid becomes more turbulent, and there is a greater energy loss due to formation of eddies. However, shouldn't this increase in reynolds number cause an increase in friction as well? But, according to the moody diagram...
  21. H

    Computational Fluid Dynamics - Couette flow & Reynolds Number

    Homework Statement This is a part of an assignment for a computational modelling paper requiring the modelling of couette flow between two (infinite) parallel plates in MATLAB. The lower plate is stationary while the upper plate moves at 0.1m/s, the plates are 0.01m apart and the no slip...
  22. C

    What Is the Reynolds Number for Fluid Flow in a Tube?

    Homework Statement Afluid with a viscosity of 9.1 x 10-4 Pa.s and density 1.1 g/cm3 flows through a tube with an inner diameter of 10 mm and fills a 10 mL container in 29 s. What is the Reynolds number for this flow? Homework Equations I am assuming its this equation for a tube...
  23. T

    XFoil Reynolds Number Calculations

    Can someone explain to me how XFoil calculates the Reynolds Number for computational analysis. I have the XFoil manual which explains the method used in calculating the Reynolds Number. But what I don't understand is that it says that the "Reynolds Number is defined with the freestream velocity...
  24. C

    Understanding Reynolds Number: Flow around a Cylinder

    Could somebody please clarify a few things about Reynolds number for me? In class the lecturer approximated |u. \nabla |u by (u^2)/L where L is the characteristic length. In a specific example considering flow around a cylinder of diameter D, it was said that L=D. What does the characteristic...
  25. T

    Flow coefficient and reynolds number

    Homework Statement I don't understand why flow coefficient increases with Re and why it becomes independent after a certain Re number for orifice plates and venturi meter! Homework Equations The Attempt at a Solution It seems than when the flow becomes turbulent, the flow...
  26. C

    Resolving the Low Reynolds Number Paradox: Wake Formation

    The wake is made because the inertia forces in the system ,right? So if i have low Reynolds number the inertia forces are negligible and the flow doesn't separate ,right? So In every low Reynolds number the flow doesn't separate (no wake) but low Reynolds number also indicate a viscous flow...
  27. N

    Question about the Reynolds number and fluid drag

    Hello! First time poster, long time lurker. I've been doing my own independent study of fluid dynamics (not recommended, i know!) and I've hit a wall. I'm trying to imagine problems of fluid dynamics other than the "river and pipe" variety to confirm that I'm really getting this drag stuff. I'm...
  28. J

    How Does Reynolds Number Change Along a Pipe's Length?

    Hello, can someone tell me how the reynolds number for flow through a pipe change along it's length? Is the only method that the boundary layer gets thicker along the pipe so the freestream velocity increases? Assuming no gas temperature change along the pipe's length. From thinking of the...
  29. U

    Small Reynolds Number Flow around Flat Plate

    Hello, I have a problem I am trying to model analytically (please note: I am NOT a fluid mechanics expert -- I come from a chemistry background): A semi-infinite plate is oriented axially in the direction of flow. Please refer to the following page for an illustration of my problem...
  30. R

    Reynolds Number Extended Essay Ideas?

    Homework Statement At the moment, I am planning my I.B extended essay (last 2 years at school), and have chosen to do my EE on physics. I've done loads of background research about Reynolds Number and how it affects the type of flow present. There is an experiment I can recreate (Reynolds...
  31. J

    Fluid Mechanics - Estimating Reynolds number and flow rate.

    Homework Statement A pipe 0.15m in diameter has a roughness ratio (k/d) of 0.002 and carries water at a flow rate Q. Using the moody diagram, show that at high flow rates (where the friction factor is independent of reynolds number), the head loss per m length due to friction is approx...
  32. T

    Calculate Reynolds Number for 0.3m Diameter Pipe Flow

    Homework Statement Estimate a reynolds number for a pipe of 0.3m internal diameter, carrying water at a rate of 71 m/s, and say what that says about the likely nature of the flow. Homework Equations Re = (density x L x velocity of flow)/coefficient of dynamic viscosity for water...
  33. V

    Calculating the Reynolds Number (Re) for a non-spherical object?

    I have the density (ρ) of the particles and the fluid, as well as the complete dimensions of the non-spherical particles. I know the Force of drag (F) and the Coefficient of drag (C). But how do you get the Reynolds number from this? I can't use Stokes' equations because they only apply to spheres.
  34. L

    Dynamic Similarity / Reynolds Number

    Question from Text Gas (rho = 5.25 kg/m^3, v = 2.0 x 10^-5 m^2/s) is flowing in a 20-mm-diameter pipe. When a gas flowmeter measures the flow as being 0.064 kg/s, it registers a pressure drop of 8.5 kPa. Investigators plan to test an enlarged model that is geometrically similar in a...
  35. D

    Change in flow / velocity direction and the Reynolds number

    Hi, I am interested in the relationship between changes in flow direction (and changes in flow velocity) and the Reynolds number. Reynolds number = (fluid density) * (velocity) * (tube length) / (viscosity) Reynolds number = (flow rate) * (tube length) / [(viscosity) * (cross-sectional...
  36. K

    How to Calculate Reynolds Number for Pulsating Swirl Flow?

    Does anyone here know how to calculate the reynolds number for a pulsating swirl flow? I've been trying to find the right expression for ages, I can't locate it. I'm sure it will be a integral equations based upon the frequency of swirl (i.e. 1Hz, 5Hz or 10Hz etc) Thanks
  37. E

    Can You Calculate Reynolds Number with Limited Data on a Scaled Missile Model?

    hi i have to find out the reynolds number for a missile launched from a sub. i only have the temperature of the water, the dimensions of the missile and the velovity of a model of the of the actual missile at a scale of 1:10 i havn't given any quantities because i don't want a...
  38. J

    Wind tunnel tests and Reynolds Number

    I have a question about Reynolds Number and wind tunnel tests. Last semester a few students at my university were conducting wind tunnel tests on a small model of a truck, they were trying to find ways to reduce the drag in order to save fuel. I would guess they were testing at a Reynolds Number...
  39. S

    Fluid mechanics Reynolds number equation query

    1.I have been asked to: Calculate the density of a fluid if a ctitical velocity of 2m/s at Re=2000 in a pipe of bore 90mm at a dynamic viscosity oc 0.09cP I have calcualted the variables to SI units and found \rho=? Um (V) =2m/s D=0.09m \mu=0.09X10^-3 I am rearranging this...
  40. B

    Reynolds Number of a circular plate perpendicular to external flow

    Hello, I am trying to obtain how to find the Reynolds Number of a circular plate perpendicular to external flow. Thanks
  41. C

    Can Reynolds Number be Calculated for a Random Point?

    Hey guys, I'm looking for a little help understanding Reynold's Number. I know that its the ratio of the inertial forces versus the viscous forces. With that being said, everywhere I look, the Reynold's Number is calculated for flow in a pipe or duct or across some sort of surface. Why can't...
  42. C

    How Do You Calculate Reynolds Number for Flow Exiting a Rectangular Duct?

    Homework Statement Hi everyone, This problem concerns calculating Reynold's Number of flow after exiting a duct. The duct that the flow exits is rectangular. The flow is measured directly underneath the center of the duct at a distance of 10 cm below the exit (Y-axis). Flow is measured...
  43. T

    Reynolds number - Characteristic dimension

    Are there any reference tables for what to use as the characteristic dimension of various shapes when calculating the Reynolds number? I am very interested in ballistics, and have done research and calculations for various ways of estimating the drag coefficient of various bullet shapes. I...
  44. C

    How Does Changing Mass Flow Rate or Diameter Affect Reynolds Number?

    The question gives this .. The Reynolds number, Re, is a dimensionless group which characterizes the intensity of a flow. For large Re, a flow is turbulent; for small Re , it is laminar. For pipe flow, Re=u(density)D/mu, where D is pipe diameter and mu is dynamic viscosity. It asks ...
  45. G

    Reynolds number may have a similar effect to the Knudsen number

    Reynolds number prominence to slip/stick the gases on the walls Dears A major question has arisen during the comparison of experimental evidence and numerical results. The problem is also recognized by some of the researchers but it’s not fully exhausted yet [1,2]. I know from the slip flow...
  46. P

    What Is the Unfamiliar Symbol in the Reynolds Number Equation?

    I understand most of the equation. [tex] Re=\rho *D *V over a symbol I don't recognize I don't know what the symbol is the denominator, and I can't find its name so I don't know what it means. I just need one definition, thanks.
  47. N

    Relating the Reynolds number to the Drag Coeffient

    How does one relate the Reynolds number to the Drag Coeffient? It seems the drag coefficient for different velocities must be determined experimentally per set. I know the Reynolds number is a method to determine laminar or turbulent flow, but can it be used to determine the drag coefficient?
  48. H

    Friction factor on very very low reynolds number

    hai all, I'm now doing a research about castor oil. I've a got a few a confusing problems.. 1. to flow castor oil in a 12 mm acrylic pipe i use a reservoir 1 metres from the outlet. Because castor oil is very thick (dyn visc. = 0.5 Pa-m), the velocity of the flow is very low just about 0.02...
  49. T

    Why Are Reynolds Numbers Higher When Reducing Flow Rate?

    Hi all! In a pipe flow, when the flow rate of water is increasing, reaching a critical flow rate, the flow will switch from laminar to transition flow, right? And continue the increase of flow rate will further change it to turbulent flow. The Reynolds number for these 2 transitions are...
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