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This idealized treatment is only a starting point. Further factors we consider while designing include the following:
On account of the considerable variation in the flow conditions and the blade section along the span, it is divided in to a number of infinitesimal section of small radial thickness dr. the flow through such a section is assumed to be independent of the flow through other elements.
Velocities is a blade force for the flow through the elemental section are shown below. The flow has a mean velocity w and direction b (from the axial direction). The lift force L is normal of mean flow and the drag D parallel to this. The axial (#Fx) and tangential (#Fy ) force acting on the element. Also (#Fr) is the resultant force inclined at an angle 0 to the direction of lift.
An expression for the pressure rise (#P) across the element is now developed.
Resolving the force in the axial and tangential direction,
#Fx = #L sinb - #D cosb
#Fy = #L cosb + #D sin b
By definition lift and drag force are
#L = ½ CL p w2 (ldr)
#D = ½ CD p w2 (ldr)
tanf = #D/#L = CD/CL
Since the fan laws are valid for any particular point on the fan pressure/volume characteristic, similar laws will be valid for every other point of operation, the only difference being numerical values of the coefficients. Thus a plot of Kp against Kq will have exactly same form as the pressure /volume characteristic of each fan in homologous series, and also be used to compare the performance of the series design with that of another series design. A system of performance coefficients based on this;
Application of Fan Engineering Formula:
The application of the fan theory can best shown by example.
We introduce ourselvesas one of the renowned manufacturers of Energy Efficient FRP Hollow Axial Flow Fans Assemblies.
We regularly supplying our products to various OEM Companies for their Turnkey Projects in India and Abroad.