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- The absolute viscosity μ of a fluid is primarily afunction of( a ) Density, ( b ) Temperature, ( c ) Pressure, ( d ) Velocity,( e ) Surface tensionQ6: Using Raleigh’s method, Analyze an equation to determine the resistance, P of a sphere of diameter, D moving with a velocity, v in an incompressible and unlimited medium of specific mass, ρ and coefficient of viscosity μHydrostatic pressure at any given depth of a liquid depends on the_____ of the container.a)Volumeb)ShapeC)Depthd)All of the above .As the temperature of oil increases, the viscosity of oil willa) increaseb) decreaseC)not change Which of the following units would NOT be used for volume flow rate?a) gal/minb) Ib/sc)m⅗d)ft^3/s 2.Dynamic viscosity is defined as,a) weight per unit volume of a fluidb) volume per unit weight of a fluidc) the velocity gradient divided by the shearing stress of a fluidd)the shearing stress divided by the velocity gradient of a fluid
- 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 thatAs 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?Two endlessly long flat plates, separated by 3 inches in distance but with a thickness of 5 inches, each transport alcohol (5 m/s, 1 Pa·s, S.G. 0.89 (ref. water at 4 degrees Celsius) to a given location with a specific velocity. Prove that the Reynold's number of the following problem is a value approximately around 90-100.
- The heat transfer coefficient is a nondimensional parameter which is a function of viscosity ? , specific heat cp (kJ/kg·K), and thermal conductivity k (W/m·K). This nondimensional parameter is expressed as (a) cp/? k (b) k/? cp (c) ? /cpk (d ) ? cp/k (e) cpk/?The Ekman number, Ek, arises in geophysical fluiddynamics. It is a dimensionless parameter combining seawaterdensity ρ , a characteristic length L , seawaterviscosity μ , and the Coriolis frequency Ω sin φ , where Ωis the rotation rate of the earth and φ is the latitude angle.Determine the correct form of Ek if the viscosity is in thenumerator.Taylor number (Ta) is used here to describe the ratio between the inertia effect andthe viscous effect. By applying Buckingham Pi’s Theorem, determine an equation forTa as a function of the radius of inner cylinder (r), cylinder tangential velocity (v),fluid dynamic viscosity (μ), gap distance (L) and fluid density (ρ).
- q1(c) A 20 × 20 cm cubical block slides on an oil surface over the inclined plane at 20° horizontal. Steady state velocity is 0.4 m/s. The thickness of the oil film between the block and the surface is 0.4 mm, and the mass of the block is 6.52 kg. (i) Illustrate the free body diagram for the above condition. (ii) Calculate the kinematic viscosity of the oil if the specific gravity of the oil that you choose must be in the range between 0.78 to 0.86.We would like to develop an empirical correlation to determine the heat trans- fer coefficient, h, for turbulent flow in a circular conduit. Please use the order provided for the lists of physical variables and fundamental units in working this problem. The following physical variables are to be included: h, average fluid velocity v, density ρ, viscosity μ, thermal conductivity k, specific heat capacity c, diameter D, and length L. (a) Express each physical variable in terms of fundamental units mass (m), length (l), time (t), and temperature (θ).Don't skip steps. Show the complete solution for this problem. A golden breast plate weighing 18.63 kg Is dropped in a tub that Initially contains water. After the breast plate was totally submerged. the water level rises by 61.87 cm. The tub has a diameter of 6 centimeters and the breast plate was said to be made only from gold and silver Compute for the percentage of each component of the breast plate if the density of gold Is 19.3 g/cubic centimeter and silver has a density of 10.49 g/cubic centimeter.