Try Chorin and Marsdenmech8 said:Can anybody recommend a Fluid Mechanics book or books that deal only with these general equations and does not simplify them to equations for only specific situations?
A fluid mechanics book that's pure integration/vector calculus is designed to provide a mathematical approach to understanding and analyzing fluid flow. It focuses on using integration and vector calculus to describe and solve problems related to fluid motion, rather than relying on empirical or experimental methods.
Fluid mechanics has many practical applications, such as in designing aircraft and automobiles, understanding weather patterns, and developing renewable energy sources. It is also used in various engineering fields, such as civil, mechanical, and chemical engineering.
The book may cover topics such as fluid properties, fluid statics, Bernoulli's equation, conservation laws, viscous flow, and dimensional analysis. It may also include exercises and problems to help reinforce understanding and application of these concepts.
Fluid mechanics is closely related to other branches of physics, such as thermodynamics, electromagnetism, and kinematics. It also draws upon principles from mathematics, such as calculus and vector analysis, to describe and analyze fluid behavior.
Yes, a solid understanding of calculus is necessary to comprehend a fluid mechanics book that's pure integration/vector calculus. Integration and vector calculus are used extensively in fluid mechanics to describe and solve problems, so prior knowledge of these mathematical concepts is essential.