Fluid Mechanics Calculator

The boundary layer equations describe the behavior of fluid flow within this thin layer. One of the fundamental equations governing the boundary layer is the boundary layer momentum equation, also known as the boundary layer equation or the boundary layer velocity profile equation. The simplified form of the boundary layer equation for an incompressible, steady […]

The Venturi effect describes the reduction in fluid pressure that occurs when a fluid flows through a constricted section of a pipe. This phenomenon is based on the principle of conservation of energy in fluid flow, where the increase in fluid velocity through the constriction leads to a decrease in pressure according to Bernoulli’s principle.

The Blasius equation is an empirical correlation used to estimate the skin friction coefficient (Cf​) for laminar boundary layers developing over a flat plate. It was derived by the German engineer, Hermann Blasius. The Blasius equation is given by: Where: Cf​ is the skin friction coefficient, Rex​ is the Reynolds number based on the distance

Torricelli’s law states that the velocity (v) of a fluid exiting an orifice is equal to the velocity that a body would attain if it were dropped from a height equal to the depth of the fluid (h) above the orifice, Torricelli’s law equates the kinetic energy of the fluid flowing out of the opening

The Hagen-Poiseuille equation, also known as Poiseuille’s law, describes laminar flow in a cylindrical pipe. It gives the rate of flow (Q) of a viscous, incompressible fluid through a pipe of constant cross-sectional area and length under a constant pressure gradient (ΔP). This equation shows that the flow rate is directly proportional to the fourth

Bending moment is a measure of the internal bending forces within a structural element, such as a beam or a column, subjected to an external load. It quantifies the tendency of a beam to bend or flex under the applied load. The bending moment at any point along a beam is the algebraic sum of

The torsion formula for circular shafts relates the shear stress (τ) experienced by a shaft to the applied torque (T), the radial distance from the center of the shaft (r), and the polar moment of inertia (J) of the cross-sectional area of the shaft. This formula is fundamental for analyzing the behavior of circular shafts

Statically indeterminate torsion refers to a situation in structural mechanics where a component or structure is subjected to torsional loads (twisting forces) and the resulting internal forces cannot be determined solely by applying equilibrium equations. Where: Δθ is the angle of twist, T is the applied torque, L is the length of the shaft, G

The power transmitted by a shaft refers to the rate at which energy is transferred through the shaft due to rotational motion. The formula to calculate the power transmitted by a shaft is given by: Where: P is the power transmitted, N is the rotational speed of the shaft,  T is the torque applied to

Torsional rigidity, also known as torsional stiffness or torsional resistance, refers to a measure of a structure’s resistance to torsional deformation when subjected to an applied torque. It represents the degree to which a structural member can resist twisting. The torsional rigidity of a structure can be defined mathematically as, Where: K is the torsional