BNP10303 Fluid Mechanics

Pressure, Archimedes and Bernoulli and the continuity equations are the most fundamental equations in Fluid Mechanics. They will be used very frequently in the next chapter after this. In chapter Four which is Basic Equations in Fluid Mechanic, either the Bernoulli equation or the continuity equation is used together with the mass and momentum equations to find out the torques and forces acting on fluid systems. So, it is very important for all of us to understand this equation. To wrap up this chapter, we can conclude that, Archimedes Formula Volume Flow Rate Equation of Continuity   Bernoullis’s Equation REFERENCES: 1.  http://www.softschools.com/formulas/physics/buoyancy_formula/28/ 2.  Acott, Chris (1999). "The diving "Law-ers": A brief resume of their lives". South Pacific Underwater Medicine Society journal. 29 (1). ISSN 0813-1988. OCLC 16986801. Retrieved 2009-06-13. 3.  "Floater clustering in a standing wa

BERNOULLI EQUATION An approximate relation between pressure, velocity and elevation and valid in regions of steady, incompressible flow where net frictional forces are negligible. In simple way to understand, to know the relationship between pressure and fluid velocity in the flow system. Despite its simplicity, it has been proven to be very powerful tool in fluids mechanics which fluid motion is governed by the combined effects of pressure and gravity forces.  There are 3 types main energy in the moving fluid which are: ·       Potential energy, energy which possessed by fluid based on potential head (the height at point in fluid flow measured from datum or reference line). P energy = Z (m) ·      Kinetic energy, energy possessed by the fluid particles based on it velocity. K energy = v 2 / 2g (m) ·      Pressure energy, energy possessed by fluid based on the pressure in the fluid. P = ρgh Therefore, h = P / ρg BERNOULLI THEOREM APP

What is Archimedes' Principle? Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid. Archimedes' principle is a law of physics fundamental to fluid mechanics. It was formulated by Archimedes of Syracuse.  Archimedes' principle does not consider the surface tension (capillarity) acting on the body.  Moreover, Archimedes' principle has been found to break down in complex fluids . Fb = ρgV = ρghA Fb = buoyant force of a liquid acting on an object (N) ρ = density of the liquid(kg/m3) g = gravitational acceleration(9.80 m/s2) V = volume of liquid displaced (m3 or liters, where 1 m3 = 1000 L) h = height of water displaced by a floating object(m) A = surface area of a floating object(m2) Buoyancy Formula Questions: 1.   A

Derivations of the basic equations of fluid mechanics are very necessary because they fulfill the requirements for the broadest applicability in areas of science and engineering. Fluid mechanics considerations are applied in many fields, especially in engineering. Concerning the formulation of the basic equations of fluids mechanics, it is easy to formulate the conservation equations for mass, momentum, energy and chemical species for a fluid element. The derivations of basic equations can be represented in an easily comprehensible way and it is possible to build up the derivations upon the basic knowledge of physics. Derivations of the basic equations are usually followed by transformation considerations whose aim is to derive local formulations of the conservation equations and to introduce field quantities into the mathematical representations.             The objective of the derivations is to formulate the conservation laws for mass, momentum, energy and chemical species in