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In physics, a body force is a force that acts throughout the volume of a body. [1] Forces due to gravity, electric fields and magnetic fields are examples of body forces. Body forces contrast with contact forces or surface forces which are exerted to the surface of an object. Fictitious forces such as the centrifugal force, Euler force, and the ...
The derivation of the Navier–Stokes equation involves the consideration of forces acting on fluid elements, so that a quantity called the stress tensor appears naturally in the Cauchy momentum equation. Since the divergence of this tensor is taken, it is customary to write out the equation fully simplified, so that the original appearance of ...
List of equations in fluid mechanics. 1 language. ... = volume density of the body forces acting on the fluid here is the del operator. ...
There are two causes of aerodynamic force: [1]: §4.10 [2] [3]: 29 the normal force due to the pressure on the surface of the body; the shear force due to the viscosity of the gas, also known as skin friction. Pressure acts normal to the surface, and shear force acts parallel to the surface. Both forces act locally.
The right side of the equation is in effect a summation of hydrostatic effects, the divergence of deviatoric stress and body forces (such as gravity). All non-relativistic balance equations, such as the Navier–Stokes equations, can be derived by beginning with the Cauchy equations and specifying the stress tensor through a constitutive relation .
There are 2 body forces acting on the channel fluid, namely, gravity and friction: =, +, where f x,g is the body force due to gravity and f x,f is the body force due to friction. f x , g can be calculated using basic physics and trigonometry: [ 27 ] F g = sin ( θ ) g M {\displaystyle F_{g}=\sin(\theta )gM} where F g is the force of gravity ...
Note that the inertia force is in front of the phase of the drag force: the flow velocity is a sine wave, while the local acceleration is a cosine wave as a function of time. In fluid dynamics the Morison equation is a semi-empirical equation for the inline force on a body in oscillatory flow.
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. [ 1 ] : 3 It has applications in a wide range of disciplines, including mechanical , aerospace , civil , chemical , and biomedical engineering , as well as geophysics , oceanography , meteorology , astrophysics ...