Fluid Mechanics/Formulas

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This section serves as a general review section.

Table of Useful Formulas[edit]

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 Methods
Stream 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 Flow
Streamline 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 Flow
Specific Weight Fluid Mechanics/Analysis Methods
Surface 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[edit]

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/Kinematics
Streakline 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[edit]

gamma water 62.4 lb/ft^3

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