What is Bernoullis: Definition and 26 Discussions

Daniel Bernoulli FRS (German: [bɛʁˈnʊli]; 8 February [O.S. 29 January] 1700 – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics. His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the airplane wing.

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  1. S

    Fluid Mechanics: Fluid Transfer Between Two Reservoirs at Different Heights

    A reservoir supply tunnel transfers water from a high level storage reservoir via a 200mm diameter pipe to a lower intermediate reservoir. The total height difference between the free surfaces of each reservoir is 76 m. The pipe is 700 m long and the coefficient of friction, Cf is 0.009. The...
  2. clergy

    Fluids using Bernoullis principle

    Please help!
  3. huffy

    Solve Bernoulli's Equation for Water Height Rise

    Homework Statement The presure inside the pipe is 6.0 atm and the speed of the water flowing past the inlet valve is 3.00 m/. On a floor 5.0m above the inlet pipe, the single pipe has only a 2.5 cm diameter. Assume that water is an ideal fluid. C) If the smaller pipe ruptures, propelling...
  4. T

    Bernoullis & Pressure Gradient force

    The more I learn about Bernoulli's the less I feel I understand it The problem statement If I had a ball (balloon) filled with fluid at pressure P being acted on by two opposing forces F+ and F- F+ being larger than F- there would be a net force accelerating the ball to the right but the...
  5. Q

    How do pressure gradients develop instantaneously in Bernoulli flow?

    Hi I am having trouble understanding how Bernoulli’s pressure gradients develop I know the equation in a steady flow state (after the developed state ‘flushes’ thru) but I want to understand what mechanism lowers the pressure and increases the speed as the flow develops The continuity...
  6. M

    Solve Bernoulli's Equation for Pressure at Throat of Converging-Diverging Nozzle

    Homework Statement Was flicking through a textbook and decided to give a question a try. Flow through a converging diverging nozzle, determine pressure at throat picture attached. Pressure at inlet = 50cm head, 4905PA inlet dia = 2cm throat dia = 1 cm density of water = 1000kg/m^3 [/B]Homework...
  7. T

    Thermofluids, bernoullis equation head loss

    Hi, I just have a few questions on bernoullis equation dealing with power and head loss If the equation for power is p = mass flow rate * g * Hloss, Then is g only used when let's say a pipe is at an elevation ?, because in my book I have an example where g is not used to calculate the power...
  8. T

    Bernoullis from the laws of motion

    I am trying to understand Bernoullis from Newton laws applied to molecular dynamics (as opposed to conservation laws) From the conservation laws I understand for a incompressible invicous (experiencing no friction effects ) Ideal fluid Mass is neither created nor destroyed Mass in = Mass...
  9. T

    Surge Pressure Stagnation Pressure Static Pressure Bernoulli

    I have trouble understanding why Stagnation Pressure equals Total Pressure when we apply Bernoullis theorem to a constriction. Two different scenarios Scenario 1.A pipe has pressure p_1 , its flow is velocity v_1 and a diameter a_1 ,it has no restriction along its length. Total Pressure Tp_1...
  10. C

    How Does Changing Height Affect Bernoulli's Equation Values?

    It's just a simple question. How does the height effect the other values if the height increases or decreases. What happens when the height increases and what happens when the height decreases?
  11. T

    Bernoullis equation airplane

    Homework Statement An airplane has a 50 m^2 wing that is designed so that air on the top travels 20% faster than the air on the bottom. The air on the bottom of the wing moves at the plane’s airspeed and the unloaded airplane has a take-off speed of 90 km/h A) What is the velocity of the air...
  12. R

    Height of fluid and Bernoullis equation

    Homework Statement An ideal liquid flows horizontally through a pipe of cross sectional area 3cm2 with a velocity 1ms-1. The pipe narrows to a cross sectional area 1cm2. 2 vertical pipes are connected to the pipe, one in either region. Calculate the height difference of the liquid between...
  13. S

    What kind of problem is this. (Seperable or Bernoullis) / Diff EQ

    Homework Statement xy^2 dy/dx = y^3 - x^3 , y(1) = 2Homework Equations The Attempt at a Solution It says to solve the initial value problem. I am assuming it is not a Bernoulli, but I can't seem to separate it. What should I do?Thanks This is what I get when I separate it, is this...
  14. S

    Solve a given initial-value problem, bernoullis equation

    Homework Statement x2*(dy/dx)-2xy=3y4 y(1)=1/2 The Attempt at a Solution the most I have it reduced to du/dx+2u/3x=-1/(u^8*x^2)
  15. I

    Help With Lift And Drag Forces On A Ball, Bernoullis Principles.

    Homework Statement Any help would be appreciated, whether that is formulas or working out. Questions For each of the vertical levitation examples calculate the lift force exerted on the ball. For each of the inclined levitation examples calculate the lift and drag forces exerted on the ball...
  16. B

    Bernoullis principle and lift on a wing of plane

    Homework Statement What is the lift (in Newtons) due to Bernoulli's principle on a wing of area 89 if the air passes over the top and bottom surfaces at speeds of 260 and 160 , respectively? The Attempt at a Solution[B] um...i understand that the higher velocity of the air above the...
  17. E

    Solving Bernoulli's Equation for Fluid Mechanics in Ethanol Pipe

    Ethanol of density 791 kgm-3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1= 1.20 x 10-3 m2 to A2=A1/2. The pressure difference between the wide and narrow sections of the pipe is 4120 Pa. What is the volume flow rate of the ethanol? (Ans.: 2.24 x 10-3...
  18. A

    Fluid Mechanics: Bernoullis Theorem Demonstration?

    Having trouble using the bernoulli equation to work out the dynamic head for this experiment. the equation I am using is as follows: P1/ρg+(v1^2)/2g+z1=P2/ρg+(v2^2)/2g+z2 Where: P= static pressure v = fluid velocity z = vertical elevation of fluid so z1 = z2 for horizontal tube...
  19. S

    Explain the pressure terms in Bernoullis Equation

    The Bernoullis Equation for an Incompressible Inviscid flow (say water) is as follows: p + (1/2).ρV^2 + ρgh = constant where, In words, static pressure + dynamic pressure + pressure energy due to height = constant It gives the Energy...
  20. T

    Deriving an expression using Bernoullis equation.

    Hi! This is my first post, so i apologise if i leave out any information. I need to derive an expression for the theoretical velocity of flow in an open channel using the Bernoulli Equation. I realize it is probably a simple question but i am sort of a beginner. Any help appreciated...
  21. F

    What is the role of electrostatic force in Bernoulli's Principle?

    Hey... I have a question about what is causing the Bernoulli effect...a moving fluid (say water) will exert lower pressure on the walls of a container (say a pipe) than a stationary fluid will...and since the water molecules move about randomly... There seems to be only two possibilities...
  22. H

    Quick question regarding bernoullis principle

    Ok I've just started learning about Bernoulli's principle so I don't have that much knowledge of it.. so anyways I know that as the velocity of air or fluid increases, the pressure decreases. In order for the velocity of the fluid to increase, there has to be like a constriction thingy.. I've...
  23. M

    Solving Wind Force on Flat Roof Using Bernoulli's Equation

    Homework Statement If wind blows at 35 m/s over a house, what is the net force on the roof if its area is 240m^2 and is flat? Homework Equations Bernoulli's equation. The Attempt at a Solution I have no idea how to belgin =|
  24. G

    Calculate Velocity Using Bernoulli's Equation

    When using Bernoullis equation, part of it requires velocity to be input as part of it. I am given flow rate of 5.00 m^3 per second. I am also told the diameter of a pipe that is 0.6 m. How do I calculate velocity? I am assuming that velocity isn't simply 5.00 m/s I know that flow...
  25. G

    Bernoullis equation and appropriate units

    I've just completed a question using Bernoullis equation but I am unsure of what units I should give the answer in. By taking the units of the terms in the equation to be Pressure density velocity density acceleration height Nm^2 Kg m^-3 m s^-1 Kg...
  26. B

    Why does a hose have a wider flow at the end than at the beginning?

    Water flows from a garden hose. If the end of the garden hose is turned downward, a steady stream of water is seen to emerge from it. Upon closer observation, it can be seen that the flow of water is wide when it has just emerged from the hose pipe, and becomes more narrow as it descends (see...
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