Introduction to Bernoulli’s equation and It’s Application
Each term in the above equation has dimensions of length (i.e., meters in SI units) hence these terms are called as pressure head, velocity head, static head and total heads respectively.
Bernoulli’s equation can also be written in terms of pressures (i.e.,Pascals in SI units) as:
Bernoulli’s equation is valid between any two points in the flow field when the flow is steady, irrotational, in-viscid and incompressible. The equation is valid along a streamline for rotational, steady and incompressible flows. Between any two points 1 and 2 in the flow field for irrotational flows, the Bernoulli’s equation is written as:
Bernoulli’s equation can also be considered to be an alternate statement of conservation of energy (1st law of thermodynamics).
Refer this ;Fundamental laws of Thermodynamics
Since all real fluids have finite viscosity, i.e. in all actual fluid flows, some energy will be lost in overcoming friction. This is referred to as head loss, i.e. if the fluid were to rise in a vertical pipe it will rise to a lower height than predicted by Bernoulli’s equation. The head loss will cause the pressure to decrease in the flowThe equation also implies the possibility of conversion of one form of pressure into other. For example, neglecting the pressure changes due to datum, it can be concluded from Bernoulli’s equation that the static pressure rises in the direction of flow in a diffuser while it drops in the direction of flow in case of nozzle due to conversion of velocity pressure into static pressure and vice versa. Figure 1 shows the variation of total, static and velocity pressure for steady, incompressible and inviscid, fluid flow through a pipe of uniform cross-section. direction. If the head loss is denoted by H then Bernoulli’s equation can be modified to:
Figure 1 shows the variation of total, static and velocity pressure for steady, incompressible fluid flow through a pipe of uniform cross-section without viscous effects (solid line) and with viscous effects (dashed lines)
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