Affinity laws

This page has some issues The affinity laws are used in hydraulicsor fan performance (such as head, volumetric flow rateand hydraulic turbines. In these rotary implements, the affinity laws apply The affinity laws are useful as they allow prediction of the head discharge characteristic of a pump or fan from a known characteristic measured at a different speed or impeller diameter. The only requirement is that thor fans are dynamically similar, that is the ratios of the fluid forced are the same.

Law 1. With impeller diameter (D)Law 1a. Flow is proportional to shaft speed:,

Law 1b. Pressure or Head is proportional to the square of shaft speed:

Law 1c. Power is proportional to the cube of shaft speed:

Law 2. With shaft speed (N) held constant:Law 2a. Flow is proportional to the cube of impeller diameter:

Law 2b. Pressure or Head is proportional to the square of impeller diameter:

Law 2c. Power is proportional to the fifth power of impeller diameter:

http://www.engineeringtoolbox.com/affinitywhere

� is the volumetric flow rate (e.g. � is the impeller diameter (e.g. in or mm),� is the shaft rotational speed (e.g.� is the pressure or head developed by the fan/pump (e.g. ft or m), and� is the shaft power (e.g. W).

These laws assume that the pump/fan efficiency remains constant i.e.work well for constant diameter variable speed case (Law 1) but are less accurate for constant speed variable impeller diameter case (Law 2).

hydraulics and HVAC to express the relationship between variables involved in pump volumetric flow rate, shaft speed) and power. They apply to

. In these rotary implements, the affinity laws apply both to centrifugal and axial flows.The affinity laws are useful as they allow prediction of the head discharge characteristic of a pump or fan from a known characteristic measured at a different speed or impeller diameter. The only requirement is that thor fans are dynamically similar, that is the ratios of the fluid forced are the same.

(D) held constant: Law 1a. Flow is proportional to shaft speed:,[1][2]

Law 1b. Pressure or Head is proportional to the square of shaft speed:

Law 1c. Power is proportional to the cube of shaft speed:

constant: [1] Law 2a. Flow is proportional to the cube of impeller diameter:

Law 2b. Pressure or Head is proportional to the square of impeller diameter:

Power is proportional to the fifth power of impeller diameter:

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CFM, GPM or L/s), is the impeller diameter (e.g. in or mm), is the shaft rotational speed (e.g. rpm), is the pressure or head developed by the fan/pump (e.g. ft or m), and

These laws assume that the pump/fan efficiency remains constant i.e. . When applied to pumps the laws work well for constant diameter variable speed case (Law 1) but are less accurate for constant speed variable

to express the relationship between variables involved in pump . They apply to pumps, fans,

both to centrifugal and axial flows. The affinity laws are useful as they allow prediction of the head discharge characteristic of a pump or fan from a known characteristic measured at a different speed or impeller diameter. The only requirement is that the two pumps

. When applied to pumps the laws work well for constant diameter variable speed case (Law 1) but are less accurate for constant speed variable