Deathblow |
04-10-06 05:24 PM |
Re: What determines turn radius?
Quote:
Originally Posted by Kazuaki Shimazaki II
How would you know? Have you studied hydrodynamics?
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Yes I have actually, but that was a while back though and only in an introductory fashion. How about his, lets try some rough estimates over what type of factors effect the turning radius...
... we can *roughly* estimate the bulk of a sub as a cylinder, and view the turning force of the aft sail as a force acting at the cylinder end to enact a turning moment. That being said, the rotation of a solid object is governed by the angular motion equation...
Quote:
Alpha = I * T
where Alpha is the angular acceleration
I is the moment of inertia about the turning axis
And T is the torque being applied to the object.
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In the case of a cylinder the moment of inertia about the turning axis, iirc can be estimated as a function of the mass, radius and length in the equation
Quote:
I = Mass*(1/12*length^2 + 1/4*radius^2)
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combining with e angular acceleration equation to become
Quote:
Alpha = T*Mass*(1/12*length^2 + 1/4*radius^2)
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So a cursory look at most basic factors effecting turning ability displays a dependence on the mass, length, height, and turning force of the aft sail. Now granted, the additional complexity of the hydrodynamics of fluid flow over our cylindrical body introduces infinite complexities to any model, however, given that the bulk shape and profile of the various submarines is roughly equilavent (all cylindrical shaped, with blunted noses, and taped ends) one could presume the various contributions of dynamic fluid flow over the sub surfaces, while adding numerous complexities, will ultimately roughly equilvalent in each sub... leading to the difference in maneuvering more or less a result of mass and dimension differences. Someone please correct any mistakes noticed.
So the question remains.... how can a sub that is 25% more mass turn in 2/3rds the radius. And one that is 200% larger still turn in 2/3rd the radius. Nothing really supports this as true.... just seems contradictory to me. :hmm: :-? :nope:
Quote:
Originally Posted by Kazuaki Shimazaki II
Besides, should I, for example, justify that Akula should have a much better climb rate than the 688 because it has 30% reserve buoyancy (which I can use) compared to 10?
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Well, IIRC, reserve bouyancy doesn't effect the dive or climb rates of a sub while submerged, because while submerged, even if changing depths, the sub will maintain more of less neutral boyancy with the water around them, and it is only the dive plan angles that provide depth changes... i.e. the subs are not "floating" to a new depth, they are "flying" to a new depth and maintain more or less neutrality with the water at all times (with the exception of shallow depth maneuvers where subs might make themselves slightly heavy on purpose, only using the dive planes to maintaing depth, in order to prevent an accidental surface breach... meaning the reserve boyancy isn't really a factor when submerged.
When reserve boyancy is a factor is when the subs try to emergency surface and blow all ballast tanks. In that instance the larger reserve will provide a superior upward bubble and skyrocket the sub to the surface faster. Large RB gives a sub a better shot at making it to the service after sustaining a torp hit. IIRC.
But anyway..... can anyonep justify the turn radii of the current database?
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