File:Types of flow analysis in fluid mechanics.svg

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Summary

Example of the different types of flow analysis encountered in <a href="https://en.wikipedia.org/wiki/Fluid_mechanics" class="extiw" title="en:Fluid mechanics">fluid mechanics</a>, for a flow past a partly-<a href="https://en.wikipedia.org/wiki/Stall_(flight)" class="extiw" title="en:Stall (flight)">stalled</a>, <a href="https://en.wikipedia.org/wiki/Flap_(aircraft)" class="extiw" title="en:Flap (aircraft)">flapped</a> <a href="https://en.wikipedia.org/wiki/Airfoil" class="extiw" title="en:Airfoil">airfoil</a>.

  

Far away from the airfoil, frictional effects within the fluid can be neglected. It is then customary to calculate pressure, speed and (in the case of <a href="https://en.wikipedia.org/wiki/Compressible_flow" class="extiw" title="en:Compressible flow">compressible flow</a>) density distribution using <a href="https://en.wikipedia.org/wiki/Potential_flow" class="extiw" title="en:Potential flow">potential flow theory</a>.

  

In the close vicinity of the airfoil, <a href="https://en.wikipedia.org/wiki/Viscosity" class="extiw" title="en:Viscosity">viscous friction</a> is the dominating effect determining fluid behavior. Is is then customary to calculate fluid trajectory and predict transition and separation points using <a href="https://en.wikipedia.org/wiki/Boundary_Layer" class="extiw" title="en:Boundary Layer">boundary layer theory</a>. Pressure across (but not along) the boundary layer is uniform to a good approximation.

  

In separated and turbulent wake areas, neither potential flow nor boundary layer theory assumptions hold. This unsteady area is home to complex, unpredictable flow patterns and is usually studied using <a href="https://en.wikipedia.org/wiki/Wind_tunnel" class="extiw" title="en:Wind tunnel">wind tunnel observations</a>.

Note: boundary layer thickness is greatly exaggerated for illustration purposes, its border is not a <a href="https://en.wikipedia.org/wiki/Streamlines,_streaklines,_and_pathlines" class="extiw" title="en:Streamlines, streaklines, and pathlines">streamline</a>; all flow patterns in this figure are merely for illustrative purposes.

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File history

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Date/TimeThumbnailDimensionsUserComment
current01:44, 9 January 2017Thumbnail for version as of 01:44, 9 January 20171,155 × 609 (6 KB)127.0.0.1 (talk)Example of the different types of flow analysis encountered in <a href="https://en.wikipedia.org/wiki/Fluid_mechanics" class="extiw" title="en:Fluid mechanics">fluid mechanics</a>, for a flow past a partly-<a href="https://en.wikipedia.org/wiki/Stall_(flight)" class="extiw" title="en:Stall (flight)">stalled</a>, <a href="https://en.wikipedia.org/wiki/Flap_(aircraft)" class="extiw" title="en:Flap (aircraft)">flapped</a> <a href="https://en.wikipedia.org/wiki/Airfoil" class="extiw" title="en:Airfoil">airfoil</a>. <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: #f3f3fd;"> </span></span>  Far away from the airfoil, frictional effects within the fluid can be neglected. It is then customary to calculate pressure, speed and (in the case of <a href="https://en.wikipedia.org/wiki/Compressible_flow" class="extiw" title="en:Compressible flow">compressible flow</a>) density distribution using <a href="https://en.wikipedia.org/wiki/Potential_flow" class="extiw" title="en:Potential flow">potential flow theory</a>.</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: #ff9665;"> </span></span>  In the close vicinity of the airfoil, <a href="https://en.wikipedia.org/wiki/Viscosity" class="extiw" title="en:Viscosity">viscous friction</a> is the dominating effect determining fluid behavior. Is is then customary to calculate fluid trajectory and predict transition and separation points using <a href="https://en.wikipedia.org/wiki/Boundary_Layer" class="extiw" title="en:Boundary Layer">boundary layer theory</a>. Pressure across (but not along) the boundary layer is uniform to a good approximation.</div> <div style="direction:ltr;"> <span style="width: 2.8em; display: inline-block; text-align: center;"><span style="width: 2.4em; display: inline-block; text-align: center; border: 1px solid #808080; background-color: #3b3bde;"> </span></span>  In separated and turbulent wake areas, neither potential flow nor boundary layer theory assumptions hold. This unsteady area is home to complex, unpredictable flow patterns and is usually studied using <a href="https://en.wikipedia.org/wiki/Wind_tunnel" class="extiw" title="en:Wind tunnel">wind tunnel observations</a>.</div> <i>Note: boundary layer thickness is greatly exaggerated for illustration purposes, its border is not a <a href="https://en.wikipedia.org/wiki/Streamlines,_streaklines,_and_pathlines" class="extiw" title="en:Streamlines, streaklines, and pathlines">streamline</a>; all flow patterns in this figure are merely for illustrative purposes.</i>
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