Hydrostatic pressure refers to the pressure exerted by a fluid at rest due to the weight of the fluid above a certain point. It is the pressure experienced by a submerged or partially submerged object in a fluid solely due to the depth of the fluid and the gravitational force acting on it. Where: P […]
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One simple equation is the equation of continuity, which represents the principle of mass conservation for an incompressible fluid. It states that the mass flow rate (mass per unit time) at any point in a steady flow of fluid must be constant. Mathematically, it can be expressed as: Where: A1 and A2 are the cross-sectional
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Stokes’ law states that the frictional force F exerted on a spherical particle of radius r moving through a viscous fluid with viscosity η at a velocity v is directly proportional to the velocity of the particle and the viscosity of the fluid and inversely proportional to the radius of the particle. Mathematically, it can
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The continuity equation is based on the principle of conservation of mass and states that the mass flow rate is constant in an incompressible fluid flowing through a pipe or a duct. Mathematically, it is expressed as: Where: ρ is the density of the fluid. A is the cross-sectional area of the pipe or duct.
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Bernoulli’s equation is a fundamental principle in fluid dynamics that relates the pressure, velocity, and elevation of a fluid in an ideal, steady flow without friction. It states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of a fluid remains constant along any streamline. Mathematically, it can be
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