hello im designing a horizontal shaft 1 cubic meter capacity concrete mixer. all of the research I've done to find the right way to calculate torque has resulted in many different answers and methods, none of which are consisent.
The shaft has a 3 paddles per set to turn the concrete and 8 sets ie 24 paddles. the length of the drum is 1.27m and the width is .8m.
density of wet concrete is 2400kg/m^3 so mass is also 2400kg
the shaft turns at a 20 rpm. The time to reach that acceleraton should only take 5 seconds. It is turned by a gearbox connected to an AC motor.
the size of eaach paddle is .114m wide by .370m in length
I've used a formula that says force on an immersed object travelling through a fluid.
force= coeff drag*density/2*vel^2*area
using integration i got a formula for torque required for each set of paddles to be
3/8*coeff drag*density*angular vel*paddle width*paddle length^4
taking drag coeff =1.05 for flat plate
i got a torque of 8.865 Nm which seems ridiculously low
i also added the inertia of the system
T (torque) = I (moment of inertia) * angular accel.
=0.7206Nm
i worked out with these values that id need a power of 150 watts which seems far from accurate
The biggest problem I'm having is finding the correct formula and units to use. If someone can get me started I can do the calculations. I may have questions as I go along. Thanks in advance for your help!
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