Journal ArticleDOI
Hydrodynamics of a Water Rocket
TLDR
A model to determine the trajectory of a water rocket is given that is far simpler than the system of coupled partial differential equations that typically results in modern hydrodynamic problems of interest.Abstract:
Applications of mass, momentum, and energy balances are central to the teaching of fluid dynamics. In this study, a model to determine the trajectory of a water rocket is given that is far simpler than the system of coupled partial differential equations that typically results in modern hydrodynamic problems of interest. This makes the problem an excellent choice for a student project---it can reasonably be completed with a day or two of effort. In addition to the fundamental mathematics, this problem offers opportunities in scale analysis, numerical methods for IVPs, balance principles in accelerated frames of reference, and the collection and assessment of flight test data.read more
Citations
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Book
Advanced Calculus I
TL;DR: It is quite impossible to include in a single volume of reasonable size, an adequate and exhaustive discussion of the calculus in its more advanced stages, so it becomes necessary, in planning a thoroughly sound course in the subject, to consider several important aspects of the vast field confronting a modern writer.
Journal ArticleDOI
Launching the AquaMAV: bioinspired design for aerial-aquatic robotic platforms
Robert Siddall,M. Kovac +1 more
TL;DR: This evaluation proposes key design principles for the design of successful aerial-aquatic robots, i.e. using a plunge diving strategy for water entry, folding wings for diving efficiency, water jet propulsion for water takeoff and hydrophobic surfaces for water shedding and dry flight.
Journal ArticleDOI
Perspectives on biologically inspired hybrid and multi-modal locomotion.
Proceedings ArticleDOI
A water jet thruster for an aquatic micro air vehicle
Robert Siddall,M. Kovac +1 more
TL;DR: A high power water jet propulsion system capable of launching a 70 gram vehicle to speeds of 11m/s in 0.3s, designed to allow waterborne take off for an Aquatic Micro Air Vehicle (AquaMAV).
Journal ArticleDOI
Experimental evaluation of the drag coefficient of water rockets by a simple free-fall test
TL;DR: In this article, a simple free-fall experiment for undergraduate students to reasonably estimate the drag coefficient of water rockets made from plastic soft drink bottles was performed using relatively small fall distances (only about 14 m).
References
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Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Book
Advanced Calculus I
TL;DR: It is quite impossible to include in a single volume of reasonable size, an adequate and exhaustive discussion of the calculus in its more advanced stages, so it becomes necessary, in planning a thoroughly sound course in the subject, to consider several important aspects of the vast field confronting a modern writer.
Book
Mechanics of fluids
TL;DR: In this paper, the Navier-Stokes equations are analyzed for flow analysis in finite sysems and finite control continuity and momentum for finite systems, and different forms of the basic laws for finite control thermodynamcis.