Fluid Mechanics Calculator

Rayleigh’s Equation describes the relationship between the pressure fluctuations (p) and the velocity fluctuations (u) associated with acoustic waves in a fluid. It accounts for the compressibility of the fluid and the propagation characteristics of sound waves. Rayleigh’s Equation is a partial differential equation and can vary depending on the specific assumptions and conditions of […]

The Pressure Gradient Equation describes the change in pressure with respect to distance in a fluid flow field. It’s a fundamental equation in fluid mechanics and is commonly used to analyze the behavior of fluids in pipes, channels, and other conduits. Mathematically, the Pressure Gradient Equation can be expressed as: Where: dP​/dx is the pressure

Laplace’s Law states that the pressure difference (ΔP) across the walls of a spherical shell is directly proportional to the tension (T) in the wall and inversely proportional to the radius (r) of the sphere. Mathematically, it can be expressed as: ​ Where: ΔP is the pressure difference across the wall, T is the surface

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be expressed as: Where: F is the net force acting on the object, m is the mass of the object,  a is the acceleration

Archimedes’ Principle states that when an object is partially or fully immersed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle explains why objects appear to weigh less when submerged in a fluid compared to when they are in air. Mathematically, Archimedes’

The ideal gas law is a fundamental equation in thermodynamics that describes the behavior of an ideal gas under various conditions. It relates the pressure, volume, temperature, and amount of gas present in a system. The ideal gas law is extremely useful in various fields of science and engineering for calculating the behavior of gases

Prandtl’s Mixing Length Hypothesis postulates that the eddy viscosity in a turbulent flow can be related to the characteristic length scale of turbulence and the velocity gradient in the direction perpendicular to the flow. It assumes that the turbulence consists of large eddies that transport momentum and energy. Prandtl’s Mixing Length Hypothesis is a simplified

The volumetric flow rate, often denoted by Q, is a measure of the volume of fluid (liquid or gas) that passes through a given cross-sectional area per unit time. In the International System of Units (SI), the unit of volumetric flow rate is cubic meters per second , although other units such as liters per

The heat transfer coefficient is a measure of the effectiveness of heat transfer between a solid surface and a fluid flowing over or around it. It accounts for the combined effects of convection and thermal conductivity in transferring heat energy across the interface. The SI unit of heat transfer coefficient (h) is the Watt per

Stagnation temperature (T0​) is a thermodynamic property of a fluid flow representing the total temperature at a point where the fluid velocity is reduced to zero (stagnation point). It accounts for both static temperature and kinetic temperature present in the fluid flow. Stagnation temperature is the total temperature of a fluid at a stagnation point,