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An ejector is a device that feeds exhaust gas from a combustion chamber to the outside atmosphere. They may be used in internal combustion engines, rocket engines, or grenade launchers. In this article I will provide a brief overview of the theory and design calculations of an ejector for a simple case of intake and exhaust ports on both sides of an impeller.In this example, the right diameter drop from the center to tips circle is chosen to be 5 cm with no variation along its length which would result in 360 rads per revolution for 0% slip at the outer diameter's location after it has reached this position approximately 10 cm downwind from its outlet port. To match these conditions, the angle of the wedge shaped discharge nozzle is set at 90 degrees and the length is chosen to be ¼ of a wavelength. The area in this case would be ½ of the total area in the wedge. The total area down stream from this device would then be:
For example:

$A\_\{total\}\; =\; A\_\{inlet\}\; *\; \backslash \backslash frac\{1\}\{2\}\; +\; A\_\{disk\}\; *\; \backslash \backslash frac\{1\}\{4\}\; +\; A\_\{nozzle\}\; *\; \backslash \backslash frac\{1\}\{4$. To calculate the total pressure drop across one side of this circular duct, we use Bernoulli's equation.Where:
• • • • p = pressure (Pa)
• A = Area (m^2)
• V = Velocity (m/s)
$A\_\{total\}\; =\; \backslash \backslash frac\{1\}\{2\}$. The area is the same as the disk, but only half of that disk. The nozzles area is 1/4 of that total area since it has a smaller diameter than the disk. • • p_total = 0.5 * p_inlet + 0.25 * p_disk + 0.25 * p_nozzle
• To find the total pressure drop across one side of this device, we can use Bernoulli's equation:
$p\; =\; \backslash \backslash frac\{1\}\{2\}$. This is the same as the disk but only half of that disk. The nozzles area is 1/4 of that total area since it has a smaller diameter than the disk.
$p\_total\; =\; \backslash \backslash frac\{1\}\{2\}$.
• We know that the pressure in the inlet is constant at $p\_inlet$. The disk and nozzle have a smaller area than the inlet so they will have a higher velocity, thus a lower pressure. The difference in pressure between any two areas is used to find velocity. • • V = \\frac{p_disk - p_inlet}{p_disk - p_nozzle}
$V\; =\; \backslash \backslash frac\{4\; *\; 0.5\; *\; 0.5\; -\; 2\; *\; 0.25\; *\; 0.25\}\{4\; *\; 0.5\; *\; 0.$

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ejector design calculation

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