Fluid Mechanics – Basic mathematical derivations

This introductory course in Fluid Mechanics deals with the basic concepts of fluid statics, fluid kinematics, fluid dynamics, flow measurement, and similitude. The first section introduces Fluid Statics to beginners.

Next to this in Section 3, the author derived the mathematical derivations for Bernoulli’s momentum equation and its applications for fluid flow in a pipe bend and the reaction of a fluid jet. The last section provides an insight into flow measurement and similitude with detailed mathematical derivations of orifice meter, venturi meter, pitot tube, hotwire anemometer, flow through nozzles, notches, and weirs.

A fundamental mathematical derivative approach is followed which helps the students to gain the fundamental concepts of the mechanics of fluids. A step-by-step and detailed derivation of the various mathematical formulae is traced in this introductory coursework on fluid mechanics. This course shall help undergraduate students prepare themselves for the basic assessment in the area of fluid mechanics. Overall, this course tastes better for beginners in the engineering graduate program.