2. Some common variables in fluid mechanics include: volume flow rate Q, acceleration of gravity 9, viscosity μ, density p and length, 1. Which of the following combinations of these variables are dimension- less? a., b., c. 2, d. p. μ
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- The Archimedes number, Ar, used in the flow of stratifiedfluids, is a dimensionless combination of gravity g , densitydifference Δ ρ , fluid width L , and viscosity μ . Find theform of this number if it is proportional to g .Dimensional Analysis and Hydraulic Similitude (fluid mechanics) 1. Water at 60F at 12 ft/s in a 6-in. pipe. (a) For dynamic similarity, determine the velocity of medium fuel oil at 90F flowing in a 12-in. pipe. (b) Determine the diameter of the pipe that should be used if a medium lubricating oil at 70oF if flowing at a velocity of 50 ft/s. find the: a. velocity : ____________________ fps b. diameter : ____________________ in.A liquid is flowing at a volumetric flowrate of Q per unit width down a vertical surface. Obtain form dimensional analysis, the form of the relationship between Q and the film thickness. The flowrate Q is a function of density ρ, viscosity μ, film thickness δ and acceleration due to gravity g. Show that the volumetric flow rate is directly proportional to density if it is known that the flowrate is inversely proportional to the viscosity.
- Pz, Solve these problems, it is not graded questions. Reg.no : 5395 Fluid Mechanics-2Fluid mechanics solve it correctlyQ1 Fluid Mechanics - Buckingham π Theorem Develop a step-by-step organization chart/schema/mind map of Buckingham π Theorem and apply it to a generic fluid mechanics problem of your choice, with the exception of the load loss problem in forced flows.
- in fig below, fluid A is water (PH2o = 62.1lbm/ft^3), fluid B is mercury (PHg = 0.4888lbm/in^3). Local acceleration of gravity is standard, z=4.5 ft. what is the pressure difference. with drawing and explanationThe quantities viscosity µ, velocity V, and surface tension Y may be combined into a dimensionless group. Find the combination which is proportional to µ. This group has a customary name, which begins with C. Can you guess its name?The variables in a Saybolt viscometer are the time (t) required to empty a certain volume of oil of density (ρ) and viscosity (μ), a length (L) representing the dimensions of the viscometer, and the gravitational acceleration (g). Using the Buckingham Pi-theorem, show that
- The absolute viscosity μ of a fluid is primarily afunction of( a ) Density, ( b ) Temperature, ( c ) Pressure, ( d ) Velocity,( e ) Surface tensionThe spherical particle of unit density falls freely in air with a constant velocity of 0.50 cm/sec. The viscosity coeffiecient of the air 0.000180 poise. Using Stoke’s Law, find the radius of the particle.The force, F, acting on a billboard due to wind depends on it length, l, height, h, the modulus of elasticity of the board, E, and the specific weight, γa, of the air. Using dimensional analysis, find an appropriate dimensionless relationship.