Fluid Mechanics Calculator

Shear stress is the force per unit area parallel to a surface in a fluid. It measures the force applied tangentially to the surface. The formula for shear stress (τ) in fluid mechanics, as described by Newton’s law of viscosity, is given by: Where: τ is the shear stress, μ is the dynamic viscosity of […]

Viscosity is the measure of a fluid’s resistance to flow. It quantifies the internal friction within the fluid. The relationship between shear stress (τ) and velocity gradient (du/dy) in a fluid is described by Newton’s law of viscosity, which can be expressed as: Where: τ is the shear stress, μ is the dynamic viscosity of the

Velocity is the rate of change of displacement of fluid particles with respect to time. It represents how fast the fluid is moving. The formula for velocity (v) in fluid mechanics is simply: Where: v is the velocity (in meters per second, m/s). d/dt​ denotes the derivative with respect to time. d represents the displacement

Density is the mass per unit volume of a fluid. It quantifies how much mass is contained in a given volume of fluid. The formula for density (ρ) in fluid mechanics is given by: Where, ρ is the density, m is the mass of the fluid,  V is the volume of the fluid.  

Pressure is the force per unit area exerted by a fluid on its surroundings. It is a measure of the intensity of the force exerted by the fluid. The formula for pressure (P) in fluid mechanics is given by: Where: P is the pressure, F is the force applied perpendicular to the surface, A is

The center of buoyancy coincides with the centroid of the circular cross-section, and its position along the height (vertical direction).For more complex shapes or irregularly submerged objects, the calculation of the center of buoyancy may require more advanced techniques, such as numerical methods or computational fluid dynamics simulations. It can be calculated using the formula:

The Hagen-Poiseuille equation provides a mathematical description of laminar flow in a cylindrical pipe, where the flow is smooth and orderly, with fluid particles moving in parallel layers. It shows that the volume flow rate is directly proportional to the fourth power of the pipe radius (r4), the pressure gradient (ΔP), and inversely proportional to

Flow rate of Velocity, often denoted by Q, refers to the volume of fluid that passes through a given point in a flow system per unit time. The formula for calculating flow rate of Velocity (Q) can be expressed as: Where, Q is the flow rate,  A is the cross-sectional area of the flow,  V

The formula for flow velocity (V) can be expressed as the ratio of the flow rate (Q) to the cross-sectional area (A) through which the fluid is flowing: ​ Where: V is the flow velocity, Q is the flow rate, A is the cross-sectional area.  

Transonic flow refers to the flow of a fluid around an object at velocities close to, but both below and above, the speed of sound in that fluid. Where: Ma is the Mach number. V is the velocity of the object or fluid. a is the speed of sound in the medium.