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Korolek [52]
3 years ago
6

List the three main methods employed in dimensional analysis

Engineering
1 answer:
valina [46]3 years ago
8 0

Answer:

Rayleigh method, The Buckingham π Theorem, common pi group

Explanation:

Rayleigh method - The Rayleigh method is a basic technique for discovering a functional relationship in reference to a parameter of interest.

The dimensional analysis method describes a functional relationship between certain variables in context of an exponential equation

The Buckingham π Theorem The theorem notes that if a factor A1 relies on independent variable i.e. A2, A3,.  An, functional bond can then be set to zero in the form f(A1, A2, A3,.–, An)= 0. If all these n parameters can be defined as m dimensional units, the pi (π) theorem states that they are grouped in respect of n-m dimensional.

There are some common pi group method which are based on Buckingham π theorem.

They are named as froude number, Reynold's number, weber number etc.

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Ugo [173]

Answer:

18.75in

Explanation:

Modulus of elasticity = Stress/Strain

Since stress = Force/Area

Given

Force = 1000lb

Area = 0.75sqin

Stress = 1000/0.75

Stress = 1333.33lbsqin

Strain

Strain = Stress/Modulus of elasticity

Strain = 1333.33/5,000,000

Strain = 0.0002667

Also

Strain = extension/original length

extension = 0.005in

Original length = extension/strain

Original length = 0.005/0.0002667

Original length = 18.75in

Hence the original length of the rectangular bar is 18.75in

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3 years ago
Say that a variable A in CFG G is necessary if it appears in every derivation of some string w ∈ G. Let NECESSARY CFG = {hG, Ai|
ale4655 [162]

Answer:

Explanation:

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8 0
3 years ago
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The properties of the air in the inlet section with A1 = 0.25ab m2 in a converging-diverging channel are given as U1 = 25a,b m/s
NeX [460]

Answer:

nice cake

Explanation:

3 0
3 years ago
A fluid of density 900 kg/m3 passes through a converging section of an upstream diameter of 50 mm and a downstream diameter of 2
NISA [10]

Answer:

Q= 4.6 × 10⁻³ m³/s

actual velocity will be equal to 8.39 m/s

Explanation:

density of fluid = 900 kg/m³

d₁ = 0.025 m

d₂ = 0.05 m

Δ P = -40 k N/m²

C v = 0.89

using energy equation

\dfrac{P_1}{\gamma}+\dfrac{v_1^2}{2g} = \dfrac{P_2}{\gamma}+\dfrac{v_2^2}{2g}\\\dfrac{P_1-P_2}{\gamma}=\dfrac{v_2^2-v_1^2}{2g}\\\dfrac{-40\times 10^3\times 2}{900}=v_2^2-v_1^2

under ideal condition v₁² = 0

v₂² = 88.88

v₂ = 9.43 m/s

hence discharge at downstream will be

Q = Av

Q = \dfrac{\pi}{4}d_1^2 \times v

Q = \dfrac{\pi}{4}0.025^2 \times 9.43

Q= 4.6 × 10⁻³ m³/s

we know that

C_v =\dfrac{actual\ velocity}{theoretical\ velocity }\\0.89 =\dfrac{actual\ velocity}{9.43}\\actual\ velocity = 8.39m/s

hence , actual velocity will be equal to 8.39 m/s

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3 years ago
Why will screws never replace nails​
cupoosta [38]

Answer:

because people have different opinions on nails and screws

Explanation:

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