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Books on the topic 'Dimensionless number'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Halpin, Malachy. The dimensionless number. M. Halpin, 1995.

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2

Stichlmair, Johann. Scale-up engineering. Begell House, 2001.

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3

Hamilton, Bruce. A compact representation of units. Hewlett-Packard Laboratories, Technical Publications Department, 1996.

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4

1911-, McNeill D. B., ed. A dictionary of scientific units: Including dimensionless numbers and scales. 5th ed. Chapman and Hall, 1986.

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5

Jerrard, H. G. A dictionary of scientific units: Including dimensionless numbers and scales. 6th ed. Chapman & Hall, 1992.

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6

J, Ghosn Louis, and United States. National Aeronautics and Space Administration., eds. The role of crack formation in chevron-notched four-point bend specimens. National Aeronautics and Space Administration, 1994.

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7

Units, Dimensions, and Dimensionless Numbers. Creative Media Partners, LLC, 2021.

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8

Ipsen, DC. Units Dimensions And Dimensionless Numbers. Franklin Classics, 2018.

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9

Ipsen, DC. Units Dimensions And Dimensionless Numbers. Franklin Classics, 2018.

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10

Rajeev, S. G. The Navier–Stokes Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0003.

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When different layers of a fluid move at different velocities, there is some friction which results in loss of energy and momentum to molecular degrees of freedom. This dissipation is measured by a property of the fluid called viscosity. The Navier–Stokes (NS) equations are the modification of Euler’s equations that include this effect. In the incompressible limit, the NS equations have a residual scale invariance. The flow depends only on a dimensionless ratio (the Reynolds number). In the limit of small Reynolds number, the NS equations become linear, equivalent to the diffusion equation. Id

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11

Jerrard, H. G. Dictionary of Scientific Units: Including Dimensionless Numbers and Scales. Springer London, Limited, 2012.

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12

Jerrard, H. G. Dictionary of Scientific Units Inclusing Dimensionless Numbers and Scales. Island Press, 1992.

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13

Jerrard, H. G. Dictionary of Scientific Units: Including Dimensionless Numbers and Scales. Springer London, Limited, 2012.

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14

Jerrard, H. G. Dictionary of Scientific Units: Including Dimensionless Numbers and Scales. Springer London, Limited, 2013.

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15

Jerrard, H. G. A Dictionary of Scientific Units: Including dimensionless numbers and scales. Springer, 2011.

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16

Jerrard, H. G. A Dictionary of Scientific Units: Including dimensionless numbers and scales. Springer, 2011.

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17

A Dictionary of Scientific Units: Including dimensionless numbers and scales. Springer, 2011.

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18

Escudier, Marcel. Bernoulli’s equation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0007.

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In this chapter Newton’s second law of motion is used to derive Euler’s equation for the flow of an inviscid fluid along a streamline. For a fluid of constant density ρ‎ Euler’s equation can be integrated to yield Bernoulli’s equation: p + ρ‎gz′ + ρ‎V2 = pT which shows that the sum of the static pressure p, the hydrostatic pressure ρ‎gz and the dynamic pressure ρ‎V2/2 is equal to the total pressure pT. The combination p + ρ‎V2/2 is an important quantity known as the stagnation pressure. Each of the terms on the left-hand side of Bernoulli’s equation can be regarded as representing different fo

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