Q2:- If the velocity of flow v, dynamic viscosity u, bulk modulus of elasticity K and diameter of pipe D, using dimensional analysis, determine the general form of relationship between these variables.
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Q: The variables in a Saybolt viscometer are the time (t) required to empty a certain volume of oil of…
A: The dimensional formula for each variable is shown below.
Q: Q2:- If the velocity of flow v, dynamic viscosity a, bulk modulus of elasticity K and diameter of…
A: ,
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- Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen, air, and saturated steam at a temperature of 100C. Let D=1m,U=1m/sec, and hc=1W/m2K.Q1) By using dimensional analysis concept, express the wall shear stress for the pipe flow which is depending likely on the distance from the beginning of the pipe, pipe diameter, pipe wall roughness, fluid velocity, density and viscosity?1 ft/min=_____ ft/h using dimensional analysis
- 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 .When disturbed, a floating buoy will bob up and down atfrequency f . Assume that this frequency varies with buoymass m , waterline diameter d , and the specific weight γ ofthe liquid. ( a ) Express this as a dimensionless function. ( b )If d and γ are constant and the buoy mass is halved, howwill the frequency change?Q2) Fill in the blanks with appropriate word(s), for EXKEl of the following; K Specific weight is defined as According to the variation of density with pressure, Nuids may be classified into - Nuids and - Nuids. 3. The approximate number of experiments to evaluate the influence of 3 parameters separately is assuming that 5 experiments are needed for each variable. ¿When viscous resistance is important, -. criteria for similarity is used. S. The center of pressure is defined as - A Hydrostatic forces in a static fluid is the result of the exerted on submerged surfaces. Streamline is defined as Continuity equation represents the d 0, conservation of
- 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.Choose the correct answer Kinematic viscosity is * f. dynamic viscosity* Density b. About 1.2*10^-2 m2/s for water e. Both b and d c. Density*dynamic viscosity d. Both a and c g. Both f and c a. About 1.2*10^-6 m2/s for waterAs shown in Fig. 1.12, a horizontal interface 0-0 exists between two immiscible liquids. The dynamic viscosity of these two liquids are 0.14 Pa sand 0.24 Pa s respectively. The thickness is d1 0.8 mm and d2 1.2 mm respectively. Assuming that the velocity gradient is linear. Find theforce F required to push a bottom area A 1000 cm2 wood board to movewith velocity v0 0.4 m/s along the surface?
- The absolute viscosity μ of a fluid is primarily afunction of( a ) Density, ( b ) Temperature, ( c ) Pressure, ( d ) Velocity,( e ) Surface tensionThe 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 thatA lubricating oil having the dynamic viscosity of 0.051 poise and specific gravity of 1.12. Calculate (i) the density of oil in kg/m3, (ii) the weight density of oil in N/m3,(iii) the kinematic viscosity in stokes, and (iv) the specific volume in m3/kg.