Fluid Mechanics Cheat sheet, Cheat Sheet of Physics

Download Fluid Mechanics Cheat sheet and more Cheat Sheet Physics in PDF only on Docsity! MASS (uy m3) Equation of Continuity ——_ (kg nr” volume « A,v, =A,V¥, Based on conservation of mass. ght » Density = w ¢ Specific weight = =pg (kg mv? 2) Bernoulli's Theorem volume density of given liquid ¢ Relative density = density of pure water at 4°C (Unitless) « |P +ipv! +pgh = constant Pressure = Aormal force = thrust (Nm-*) Based on the conservation of energy. area Area VARIATION OF PRESSURE WITH DEPTH © Pressure is same at two points at the same horizontal level P, and P, The difference of pressure between two points separated by a depth h is @,~P))=hpg @ Pressure in Case of Accelerating Fluid Liquid Placed in Elevator : + When elevator accelerates upward with acceleration ag then pressure in the fluid, at depth h may be given by, ERGY P=bplg +45] KINETIC ENERG + Kinetic energy per unit volume _ KineticEnergy _ Im, ul. a, pv volume 2V 2 Potential Energy h ~ Potential energy per unit volume Potential Ener, m = EY = gh = pgh volume Vv Steady and Unsteady Flow % Steady flow is defined as that type of flow in which the fluid Pressure Energy characteristics like velocity, pressure and density at a point do not change with time. * Pressure energy per unit volume = Pressureenergy _ 5 8 volume Streamline Flow Rate of Flow * In steady flow all the particles passing through a given point + Volume of water flowing per second Q = Ayy, =A, follow the same path and hence a unique line of flow. This i line or path is called a streamline. + Velocity of efflux V = J2gh Laminar and Turbulent Flow + Horizontal range R = 2./h(H-h) * Laminar flow is the flow in which the fluid particles move along well-defined streamlines which are straight and parallel. Compressible and Incompressible Flow * In compressible flow the density of fluid varies from point to point i.e, the density is not constant for the fluid whereas in incompressible flow the density of the fluid remains constant throughout. ;