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see also: Tutorials how to design propeller

Propeller and wing calculation results: performance displayed by Heliciel

After every parameter change, Heliciel rebuilds the blade or wing, calculates its performance and presents the propeller and wing calculation results in several forms: gauges for pressure, thrust, torque, power and efficiency, element-by-element graphs, a 3D view and a strength check. Heliciel keeps them in front of you so that you never lose sight of the goal you set.

In this page:

1: The questions the results answer

When we design a propeller or a wing, the main question is usually: how much energy must I supply to obtain a given amount of converted energy? Depending on the type of study, it takes a precise form:

The smaller the gap between the energy produced and the energy supplied, the better the propeller. The efficiency of the propeller or wing is therefore clearly visible in Heliciel throughout the design trials. These results depend on the operating point, which is set by the fluid speed and the rotational speed of the propeller.

2: The overall performance of the propeller or wing

Heliciel first gives the overall quantities of the propeller or wing: the pressure difference, the axial force in the direction of the fluid, the torque in the direction of rotation, the shaft power and the efficiency.

Overall results of a propeller or wing in Heliciel: gauges for pressure difference, axial force and torque, and tabs for power, efficiency and similarity

The overall results: three gauges (pressure difference, axial force in the fluid direction, torque in the direction of rotation) and, on the right, the Power, Efficiency and Similarity tabs. The power tooltip recalls how it is calculated: shaft torque multiplied by angular speed.

3: Detailed results for each blade element

Heliciel also lets us analyse the results element by element. Each tab under the 3D model shows a bar graph, one bar per blade or wing element, from the root towards the tip. Here are the tabs, in the order in which they appear.

CD CL: the drag coefficient (Cd) and lift coefficient (Cl) of each element.

Drag and lift coefficients (Cd and Cl) of the blade or wing elements, in blue and gold bars

Cd and Cl of the elements as blue and gold bars, from the root towards the blade tip.

Lift Drag: the same elements, in newtons.

Drag and lift in newtons of the blade or wing elements

Drag and lift in newtons: two series of bars, gold and blue, give the force on each element.

Torques Thrust: the moment and thrust of each element.

Moments and thrusts of the blade or wing elements

Moment and thrust of each element: these contributions add up to the torque and thrust of the propeller.

Fluid velocity: the distribution of apparent speeds and induced velocities along the blade.

Distribution of tangential and axial induced velocities, apparent and real speeds over the blade elements

Four views: the apparent speed, the tangential and axial induced velocities, and the real speed of each element.

Fluid angles: the apparent angles, the induced angles and the real fluid angle at each element.

Distribution of fluid angles at the blade elements: apparent angles, induced angles and real angle

The apparent angles, the induced angles and the real fluid angle, element by element.

Profiles Angles: the pitch angle of each profile, its angle of attack and its zero-lift pitch angle.

Distribution of profile angles at the blade elements: pitch angles, angles of attack and zero-lift pitch angles

The pitch angles, angles of attack and zero-lift pitch angles of the blade profiles.

Strength: the bending applied to each element and the bending it can withstand (see below).

Strength graph of the propeller blade elements: calculated and allowable bending for each element

For each element, the calculated bending (green) against the allowable bending (yellow).

Pressures: the pressure distribution over the elements, with the cavitation limit (static pressure plus saturated vapour pressure).

Pressure distribution over the propeller blade elements, with the cavitation limit, on a logarithmic scale

The pressure distribution on a logarithmic scale: one bar per element and per face.

4: Results in the 3D model

Some of these results also appear on the 3D model when we select the graph type. Here, the drag and lift of the blade are drawn on each element: the blue and gold bars start from the blade and lengthen with the force.

Drag and lift of a propeller blade drawn on each element in the Heliciel 3D model

The 3D model of the propeller, with the drag and lift of the blade elements as coloured bars. Below, the element-by-element graph stays visible.

5: Mechanical strength and failure alerts

A propeller or wing with good efficiency must also be strong enough to be realistic. You choose the construction material from a list, and Heliciel continuously tests the mechanical strength of the blade, updating it at every geometry change. The strength of each element is displayed as a graph showing the maximum allowable bending and the applied bending load. Failure alerts turn red according to the safety factor applied.

In Heliciel
The Strength tab shows, for each element, the allowable bending and the calculated bending. An element that exceeds the limit appears in red in the graph and in the 3D view.

Blade element failure detection shown in red in the strength graph and in the 3D representation of the propeller

The red elements are those whose bending exceeds the allowable limit. Here the selected material is polystyrene: at about 800 rpm, sure enough, crack!

To go further, we can see how the operating point of a propeller conditions these results, or compare several speeds with the multiple operating point analysis.