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How do you account for friction loss while applying Bernoulli's theorem to the real flow?
Sum the friction terms for each element from which the friction results, including pipe lengths, elbows, flanges, fitting, valves, etc to get a total friction value K-total.
When input to the Bernoulli equation the friction loss will be:
ef=0.5*Ktotal*V^2
where ef is the energy lost to friction
Ktotal is sum of all the loss coefficients
V= velocity of fluid
The friction loss coefficient for a length of pipe is:
Kpipe= 16*f*L/D
where
Kpipe= pipe loss coefficient
L= length of pipe
D= diameter of pipe
f=the Darcy friction factor (not to be confused with the similar Fanning friction factor)
For turbulent flow the Darcy friction factor can be obtained from a Moody diagram (very simple) or via the Colebrook or Churchill equations (complex). For laminar flow:
f= 64/Re
where Re is the Reynold's number, an indication of turbulence.
Turbulent flow occurs at Reynolds numbers greater than about 2000.
Be wary of whether the f listed is the Fanning or Darcy friction factor: mechanical engineers use Darcy, chemical engineers typically use Fanning.
The Hooper 2K method can be used to calculate pipe loss coefficients.
See related links for a calculation form.
What else can I help you with?
Does the work energy theorem hold if friction acts on an object?
Yes, some work is converted into heat due to the friction.
What is a famous math theory?
Do you mean THEOREM? In math a theorem is a statement which is proved true by applying a chain of logic. A famous one is the Pythagorean Theorem: The sum of squares of the legs of a right triangle equals the square of the hypotenuse. A^2 + B^2 = C^2
What is varigon theorem?
Varignon's Theorem states that the moment of a force about a point is equal to the sum of the moments of its components about the same point. This theorem is particularly useful in mechanics for simplifying the analysis of systems with multiple forces acting on a body. By resolving a force into its components and applying the theorem, one can easily calculate the resultant moment. It highlights the principle of superposition in mechanical systems.
What is the mid segment theorem?
The midsegment theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half that of the third side. This theorem helps establish relationships between the sides of triangles and is useful in various geometric proofs and constructions. By identifying midpoints and applying the midsegment theorem, one can simplify complex geometric problems.
What is the proof of the work-energy theorem?
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Mathematically, this can be expressed as W KE, where W is the work done on the object and KE is the change in its kinetic energy. The proof of this theorem involves applying the principles of work and energy conservation in physics.
According to the work-energy theorem in the absence of friction if you do 100 J of work on a cart you'll increase its kinetic energy by?
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Therefore, if you do 100 J of work on a cart with no friction, its kinetic energy will increase by the same amount, resulting in a total kinetic energy increase of 100 J.
How can the work-kinetic energy theorem explain why the force of sliding friction reduces the kinetic energy of a particle?
Work = change in Kinetic Energy Because friction acts in the opposite direction of the motion of an object, kinetic energy must be decreased in order to maintain the above equation. Friction opposes motion. Friction converts the kinetic energy of a particle into heat and sound.
How do auto mechanics use pythagorean theorem?
Auto mechanics use the Pythagorean theorem to determine distances and angles when diagnosing issues or making repairs. For example, they may need to calculate the length of a part or the positioning of components in a vehicle's frame, especially when aligning wheels or assessing suspension geometry. By applying the theorem, mechanics can ensure precise measurements, which is crucial for safety and performance.
In the Bernoulli's theorem demonstration how can you improve the accuracy of the results?
we can improve the bernoulli equation by adding the head losses at the final flow state and also we account the major (friction loss and viscus loss) losses and Minor losses (pipe bend , pipe contraction , pipe inlet and outlet, pipe fittings , valves etc)... If we account those losses and added to the head losses then the Bernoulli's equation gives the very accurate value....
How many different ways can you arrange 10 boys in a row?
Applying the binomal theorem, multiply all the digits.1x2x3x4x5x6x7x8x9x10.You probably need to practise arithmetic more than I do.
When car stops the brakes heat up because of friction. What is the am example of?
When a car stops and the brakes heat up due to friction, it is an example of the conversion of kinetic energy into thermal energy. The friction between the brake pads and the rotors generates heat as the car's motion is resisted, illustrating the principles of energy transformation and the work-energy theorem in physics.
Do veterinarians used the Pythagorean Theorem?
Yes, veterinarians can use the Pythagorean Theorem in certain scenarios. For example, they may need to calculate the length of a diagonal in a rectangular enclosure to ensure proper space for an animal. By applying the Pythagorean Theorem (a^2 + b^2 = c^2), where 'a' and 'b' are the sides of the rectangle and 'c' is the diagonal, veterinarians can make accurate measurements for animal housing and treatment areas.
