Notes On Fundamentals Of Fluid Mechanics

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MECH2410: Fundamentals of Fluid Mechanics Ducted Fan Practical Report Name: Mike Barrientos Student Number: 43179284 Practical Session: P05 Table of Contents 1. Introduction 3 1.1 Theory 3 1.2 Fan Scaling Laws 4 2. Aims and Objectives 5 2.1 Aims 5 2.2 Scope 5 2.3 Objectives 5 3. Method 6 3.1 Assumptions 6 3.2 Procedure 6 3.2.1 Part 1 6 3.2.2 Part 2 7 4. Results and Discussions 8 4.1 Part 1 8 4.2 Part 2 8 5. Conclusions 8 6. References 8 7. Appendix A – Pre-Work 8 8. Appendix B – Error Analysis 8 Introduction Bernoulli’s principle, which can also be describes as Bernoulli’s equation, describes that for a flowing fluid in an ideal state, its pressure and density are inversely related. In other words, the pressure of a fast moving fluid will decrease as its speed increases. As the term ‘fluid’ describes both liquids and gases, Bernoulli’s principle can also be used to describe many applications with regards to airflow and a fast-moving liquid. (Hall, 2015) 1.1 Theory As Bernoulli’s equation can be considered to be a statement of the conservation of energy principle appropriate for flowing fluids, it is possible to represent this principle using a simple formula in terms of the enthalpy of the fluid, assuming a steady, inviscid flow. h_t1-h_t2=Q_ht-W_sh Further assuming that there is no heat transfer (Q) into the fluid, as well as no work (W_sh) being produced, the equation simplifies to: h_t1=h_t2 Taking the definition of total enthalpy: E_2+P_2

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