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- The Bernoulli equation for unsteady flow includes an additional term to account for unsteadiness. It can be represented as: p + 1/2 ρv^2 + ρgh = constant + ∂/∂t (1/2 ρv^2)1. This equation describes the relationship between pressure, velocity, and gravitational potential energy in unsteady fluid flow. The standard Bernoulli equation is modified to include the unsteady term1234.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.For unsteady flows, the Bernoulli equation is modified to include the unsteady term. The Unsteady Bernoulli Equation can be represented as follows: p + 1 2 ρ v 2 + ρ g h = c o n s t a n t + ∂ ∂ t (1 2 ρ v 2)www.vaia.com/en-us/explanations/engineering/eng…equation for unsteady, incompressible, inviscid, irrotational flow with conservative body forces due to gravity is: ∂φ ✪ + ✪ ρ|u|2 ✪ + 2 p + ρgy = Uniform in space but may be function of time ∂t (Bdg7)brennen.caltech.edu/fluidbook/basicfluiddynamics/…Equate change in momentum per unit volume with the forces per unit volume: D~u = ~a = r Dt ~Fvisc p + ~g + Volfaculty.uml.edu/dwillis/MECH5810/Lecture/2017F_…The formula for Bernoulli’s principle is given as follows: [& (begin {array} {l}p + frac {1} {2} rho v^2 + rho gh =constantend {array}&] ) Where p is the pressure exerted by the fluid, v is the velocity of the fluid, ρ is the density of the fluid and h is the height of the container.byjus.com/physics/bernoullis-principle/
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