The critical Reynolds number for external flow (which started as a laminar flow) over thin flat plate is |1700 500,000 2300 Depends on fluid properties.
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- A- Womersley number (a) of a human aorta is 20 and for the rabbit aorta is 17, the blood density is approximately the same across the species. The values of viscosity were 0.0035 Ns/m² for the human and 0.0040 Ns/m² for the rabbit. The diameter of the aorta is 2.0 cm for the man, and 0.7 cm for the rabbit, estimate the heart rate beats per minute (bpm) for both speciesCOE0051 FLUID MECHANICS 2 PROPERTIES OF FLUIDS Section Break (Continuous)- 1. A 30x60 cm plate is pulled through the oil with viscosity of 0.05 kg/m-s. The distance between the parallel plates are 1.5 cm. If the plate is need to pull at the rate of 0.4 m/s, what is the force needed to attain this velocity? FIXED PLATE лиши 1.5 cm FIXED PLATE October 20, 2022 .5 cm 1.0 cm .4 m/sA well with 4 in. radius produces oil with a viscosity of0.3 cP, at a rate of 200 barrels/day, from a reservoir that is 15 ft.thick. The pressure in the wellbore as a function of time is: t (mins) 1 5 10 20 30 60 Pw(psi) 4740 4667 4633 4596 4573 4535 Use the "semi-log straight line" method to estimate the permeability, K
- B2) An automotive engine can be assumed as rectangular block with approximation size 0.4 m high, 0.6 m wide, and 0.7 m long as shown in Figure 6. The ambient air is at 1 atm and 15°C where air density (P) = 1.225 kg/m and kinematic viscosity (v) = 1.47x105 m2/s. Air 85km/h 15°C Engine Block Figure 6 a) Calculate the friction coefficient (C) and investigate the force acting on the bottom surface of the engine block as the car travels at the velocity of 85 km/h. Assume the flow to be turbulent (Cr = 0.074/Re5) over the entire surface because of the constant agitation of the engine block. b) An engine oil at 40°C with kinematic viscosity (v) = 2.485×104 m³/s is flowing over a long flat plate with velocity of 4 m/s. Determine the critical distance xer from the leading edge of the plate where the flow become turbulent (Recr = 5x105), and analyze the thickness of the boundary layers over a length of 2xer. Given boundary layer thickness for laminar flow is, öx = 4.91x/Re,2 and turbulent flow,…Mott ." cometer, which we can analyze later in Chap. 7. A small ball of diameter D and density p, falls through a tube of test liquid (p. µ). The fall velocity V is calculated by the time to fall a measured distance. The formula for calculating the viscosity of the fluid is discusses a simple falling-ball vis- (Po – p)gD² 18 V This result is limited by the requirement that the Reynolds number (pVD/u) be less than 1.0. Suppose a steel ball (SG = 7.87) of diameter 2.2 mm falls in SAE 25W oil (SG = 0.88) at 20°C. The measured fall velocity is 8.4 cm/s. (a) What is the viscosity of the oil, in kg/m-s? (b) Is the Reynolds num- ber small enough for a valid estimate?The following rheological data were collected on a new "Thick 'n Spicy" brand of tomato catsup at 20°C and 90 kPa. rate of shear (s") shear stress (Pa) 10.0 20.4 20.0 21.5 40.0 23.0 60.0 25.0 80.0 26.5 (a) Plot these measured values on graph-paper. Which class of fluid does the catsup belong to?
- The following rheological data were collected on a new "Thick 'n Spicy" brand of tomato catsup at 20°C and 90 kPa. rate of shear (s') shear stress (Pa) 10.0 20.4 20.0 21.5 40.0 23.0 60.0 25.0 80.0 26.5 (a) Plot these measured values on graph-paper. Which class of fluid does the catsup belong to? (b) Write the appropriate model for describing the rheological behavior of "Thick 'n Spicy" catsup. Specify the numerical value(s) and the units of the associated constant(s). (c) What shear stress is expected when the rate of shear, under vigorous shaking of a bottle of "Thick 'n Spicy", is 150 s?1. Any equation that comes out of the differential approach is valid at every point in the flow field. On the other hand, the integral approach gives us a point by point value and not an average value. True or False 2. During the analysis of fluid flow, we are more often interested in obtaining the average velocity, and one of the common ways of obtaining the average velocity is to take an average across the flow cross-section. This is called area-average velocity, average along the direction parallel to the principal direction of flow. True or False 3. A crude oil with a density of 875 kilogram per cubic meter is pumped and flowing at 1.5 meter per second through a pipeline 1 meter in diameter. The maximum viscosity of the oil to exhibit a laminar flow behavior is 625 centipoise. True or Falsenavier stokes
- If the hematocrit of John's blood wereto change from 42% to 55% and at the same time the diameter of one ofJohn's vessels were to decrease by 1%. Using Poisselle's equation, by how much(and in what direction) would John's blood pressure have to change inorder to maintain the same volume flow rate?d) Calculate the mass flow rate per unit width of an ideal flow going through the same height as the boundary layer thickness. e) Through calculation relate the difference between the mass flow rates in parts (c) and (d) to the local boundary layer displacement thickness. In not more than 60 word justify your answer. Use sketch(s) to illustrate your justification. f) Does the assumed velocity profile satisfy the pressure boundary condition? In not more than 30-40 words and including the use of an appropriate equation justify your answer.For the flow geometry from the top of a flat plate, the velocity profile around the plate is given as v (y) = ay+by^2-cy^3, and the temperature profile as T (y) = d+ey+fy^2-gy^3. Derive the mathematical expressions that give the regression coefficient and the heat transfer coefficient. CREATE THE KNOWN AND UNKNOWN BY DRAWING THE SHAPE OF THE ORGANIZATION AND WRITE ALL THE ASSUMPTIONS IN DETAIL