Fluid Mechanics/Formulas

This section serves as a general review section. Table of Useful Formulas Name Equation Notes subject Acceleration of a fluid particle Fluid Mechanics/Kinematics Ideal Gas Law , , kJ/(kmol*K) Fluid Mechanics/Compressible Flow Buoyancy force V=Volume Fluid Statics Pressure variation in motionless incompressible fluid Fluid Statics Hydrostatic Force on plane surface =vertical dist centroid of area Fluid Statics Hydrostatic Force on curved surface Fluid Statics Navier-Stokes Vector form Fluid Mechanics/Differential Analysis of Fluid Flow Navier-Stokes in x Fluid Mechanics/Differential Analysis of Fluid Flow Navier-Stokes in y Fluid Mechanics/Differential Analysis of Fluid Flow Navier-Stokes in z Fluid Mechanics/Differential Analysis of Fluid Flow Shear Stress Fluid Mechanics/Analysis MethodsStream Function and Kinematics Conservation of Mass, Steady in compressible Fluid Mechanics/Differential Analysis of Fluid Flow Fluid Rotation =0 if irrotational Fluid Mechanics/Differential Analysis of Fluid Flow Streamline Flow Fluid Mechanics/Differential Analysis of Fluid FlowStreamline Fluid Mechanics/Differential Analysis of Fluid FlowStreakline Fluid Mechanics/Differential Analysis of Fluid Flow Volumetric Dilation 0 for incompressible Fluid Mechanics/Differential Analysis of Fluid Flow Vorticity Fluid Mechanics/Differential Analysis of Fluid FlowSpecific Weight Fluid Mechanics/Analysis MethodsSurface Tension of droplet Fluid Mechanics/Analysis Methods Capillary Rise in Tube Fluid Mechanics/Analysis Methods Torque Nm Other Streamline Coordinates V always tan to Fluid Mechanics/Analysis Methods Control volume 1st law of thermodynamics || || Fluid Mechanics/Control Volume Analysis Common Symbols, Terms and meanings Symbol Meaning Units (SI) Notes Subject (tau) Shear Stress Fluid Mechanics/Analysis Methods (nu) Kinematic Viscosity (gamma) Specific Weight Fluid Mechanics/Analysis Methods Lagrangian With particle Fluid Mechanics/Kinematics Eulerian Field perspective Fluid Mechanics/KinematicsStreakline continually released markers Fluid Mechanics/Kinematics Pathline path of one particle Fluid Mechanics/Kinematics Stream Lines tangent to velocity =constant Fluid Mechanics/Kinematics (psi) Stream Function 1 Fluid Mechanics/Kinematics viscosity N/m^2s Fluid Mechanics/Kinematics e total stores energy per unit mass for each particle in the system Fluid Mechanics/Control Volume Analysis internal energy per unit mass Fluid Mechanics/Control Volume Analysis rate of heat transfer Fluid Mechanics/Control Volume Analysis rate of work transfer Fluid Mechanics/Control Volume Analysis Common Physical Properties gamma water 62.4 lb/ft^3