A New Problem in Hydrodynamics With Extraneous Forces Acting: A Thesis Submitted for the Degree of Master of Science (Classic Reprint) - Hardcover

Edward Lee Hancock

9780267502639: A New Problem in Hydrodynamics With Extraneous Forces Acting: A Thesis Submitted for the Degree of Master of Science (Classic Reprint)

Hardcover

ISBN 10: 026750263X ISBN 13: 9780267502639

Publisher: Forgotten Books, 2018

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This study explores how extraneous forces shape fluid motion. It explains how boundary conditions drive solutions in hydrodynamics.

Grounded in the equations of motion and velocity potential, the work surveys approaches to problems where a constant external force acts on a liquid. It covers both idealized shapes and practical cases, showing how gravity and similar forces alter flow and pressure fields.

Readers will see how traditional methods apply to rectangular and other geometries, with special attention to how the velocity potential satisfies Laplace’s equation and how Fourier series are used to express solutions. The text also discusses when standard methods may fail and how graphical and analytical techniques can still illuminate complex flows.

How velocity potential relates to flow patterns and boundary conditions.
Effects of a constant external force, like gravity, on lines of flow and pressure.
Use of Fourier series and boundary-edge analysis in rectangular regions.
Situations where established methods require modification for vertical distributions.

Ideal for readers of applied mathematics, engineering, and fluid dynamics who want a clear, practical view of hydrodynamic problems with extraneous forces.

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