Experiment #5_ Impact of a Jet – Applied Fluid Mechanics Lab Manual

To good approximation, the thermal conductivity k of a gasdepends only on the density ρ ,mean free path l , gas constant R , and absolute temperatureT . For air at 20 8 C and 1 atm, k ≈0.026 W/(m.K) and l ≈6.5 E-8 m. Use this information to determine k for hydrogenat 20 ° C and 1 atm if l ≈ 1.2 E-7 m.

Pravinbhai

The following figure shows a “wetted-wall” column, in which a thin film of a reacting liquidof viscosity μ flows steadily down a plane wall, possibly for a gas-absorption study. The volumetricflow rate of liquid is specified as Q per unit width of the wall (normal to the plane of the diagram).Assume that there is only one non-zero velocity component, vx , which does not vary in the x directionand that the gas exerts negligible shear stress on the liquid film.(a) Simplify the continuity equation and show that vx = vx(y), i.e., it is a function of y only.(b) Simplify the momentum balance equation in the y-direction and show that dP/dy=0 i.e.,there is no variation of pressure horizontally across the film. Since atmyP =Patm everywhere in the film is equal to Patm. This also means that dP/dx=0(c) Simplify the momentum balance equation in the x-direction and show that it equals the equation c in the image.(d)  Solve the above equation with appropriate boundary conditions and show that it…

Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the correlation: H = c, where µ = viscosity (N/s · m²) T = temperature (K) C, = 2.414 × 10-5 C; = 247.8 (K) Cz = 140 (K) What is the appropriate unit for c, if the preceding equation is to be homogeneous in units?

The continuity equation of fluids describes the property of energy conservation; and Bernoulli's equation indicates conservation of mass. Ture OR Fale

Explain briefly

Fluid Mechanics

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?

fluid mechanics

I need help with C and D. I want to see detailed steps.

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One of the conditions in using the Bernoulli equation is the requirement of inviscid flow. However there is no fluid with zero viscosity in the world except some peculiar fluid at very low temperature. Bernoulli equation or inviscid flow theory is still a very important branch of fluid dynamics for the following reasons: (i) (ii) There is wide region of flow where the velocity gradient is zero and so the viscous effect does not manifest itself, such as in external flow past an un- stalled aerofoil. The conservation of useful energy allows the conversion of kinetic and potential energy to pressure and hence pressure force acting normal to the control volume or system boundary even though the tangential friction stress is absent. It allows the estimation of losses in internal pipe flow. (A) (i) and (ii) (B) (i) and (iii) (ii) and (iii) All of the above (C) (D)

A seA A, soA A solid cylinder of diameter d, length and density p, falls due to gravity inside a pipe of diameter D. The clearance between the solid cylinder and the pipe is filled with a Newtonian fluid of density p and u. For this clearance fluid, the terminal velocity of the cylinder is determined to be V, assuming a linear velocity profile. However, if the clearance fluid was changed to a Newtonian fluid of density 2p and viscosity 2u, then for an assumed linear velocity profile, the terminal velocity of the cylinder was determined to be V,. From the results of these experiments, one may write that (A) V = V (C) 2 V= V (B) V=2 V, (D) V= 4 V

(Permeability). A cylindrical core sample of 1 cm length and 1 cm2 cross-section has upstream and downstream pressures of 2 atm and 1 atm, respectively, during steady state flow of water at 0.997 g/s at room temperature. Calculate the permeability of the core.                                                                                Note: Water @ 25°C, viscosity = 1 cp, density of water = 0.997 g/cm3. SHOW SOLUTIONS PLS ASAP

An incompressible fluid flows in a linear porous medium with the following properties: Lenth = 3000 ft k = 100 md p1 = 2000 psig p2 = 1980 psig height = 25 ft porosity = 20% width = 300 ft viscosity = 2 cP Assume the dimension is slanted, i.e., a dip angle of 5 degrees (downward from p1 location to p2 location), what is the apparent fluid velocity under this new boundary condition?

With reference to the attached example.  Apply dimensinal analysis to show that all values/units used are homogeneous.

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?

In the field of air pollution control, one often needs to sample the quality of a moving airstream. In such measurements a sampling probe is aligned with the flow as sketched in Fig. A suction pump draws air through the probe at volume flow rate V· as sketched. For accurate sampling, the air speed through the probe should be the same as that of the airstream (isokinetic sampling). However, if the applied suction is too large, as sketched in Fig, the air speed through the probe is greater than that of the airstream (super iso kinetic sampling). For simplicity consider a two-dimensional case in which the sampling probe height is h = 4.58 mm and its width is W = 39.5 mm. The values of the stream function corresponding to the lower and upper dividing streamlines are ?l = 0.093 m2/s and ?u = 0.150 m2/s, respectively. Calculate the volume flow rate through the probe (in units of m3/s) and the average speed of the air sucked through the probe.

can someone explain this question please

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 species

Fluid Mechanics

Please show all work