Calculate the laminar boundary layer thickness by using Prandtl -Blassin's relation at the middle of a flat plate. The density of the flowing fluid is 1000 kg/m³. Velocity of flow is 20 m/sec. and the dynamic viscosity of the fluid is 10 poise. (Length of plate = 10 m)
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- . Calculate the pressure within the droplet of water of diameter 0.02 mm is atmospheric 7. In a stream of glycerine in motion, at a certain point the velocity gradient is 0.25 metre per sec per metre. The mass density of fluid is 1268.4 kg per cubic metre and kinematic viscosity is 6.30 x 10 square m per second. Calculate the shear stress at the point. tl & Find the kinematic viscosity of an oil having density 980 kg/m when at a certain point in the oil, the s [Ans. 0.2 N/m) m? or 8.49 stokes stress is 0.25 Nm and velocity gradient is 0.3/s." Ans. 0.000849- 9. Determine the specific gravity of a fluid having viscosity 0.07 poise and kinematic viscosity 0.042 stokes [Ans. 1.667] 10. Determine the viscosity of a liquid having kinematic viscosity 6 stokes and specific gravity 2.0. [Ans. 11.99 poise] 11. ưthe velocity distribution of a fluid over a plate is given by u= (3/4) y-y, where u is the velocity in metre per second at a distance of y metres above the plate, determine the shear…Question 4 Calculate the laminar boundary layer thickness by using Prandtl -Blassin's relation at the middle of a flat plate. The density of the flowing fluid is 600 kg/m3. Velocity of flow is 10 m/sec. and the dynamic viscosity of the fluid is 10 poise. (Length of plate = 4 m)The velocity profile of water(density 1000 kg/m and viscosity of 0.001 N.S/m² ) in a pipe is u%=²(R² -r²) where R is radius of the pipe and r is any distance from the center of the pipe. %3D The roughness of the pipe is 0.03 mm. i. If the pipe is replaced by another pipe with higher roughness of 0.075 mm, Calculate the pressure drop in two-meter length of the pipe. ii. evaluate the pressure drop in two-meter. ii. Explain your answers (difference or similarity) in parts (i) and (ii).
- A storage tank has vertical sides and is filled with water to a depth of 1.5 m. On top of the water is found an additional layer of oil (SG = 0.8) with a thickness of 0.5 m. Assuming a unit thickness into the page, calculate the following: (a) Resultant force on the wall of the tank due to the fluids? (b) Moment caused by the fluids along the wall at the base of the tank?Ex.1 Ans. A glass tube 0.25 mm in diameter contains a mercury column with water above the mercury. The temperature is 20°C at which the surface tension of mercury in contact with water is 0.037 kg()/m. What will be the capillary depression of the mercury? Take angle of contact 0= 130°. 3.02 cmAssuming that pressure will increase at a uniform rate and there is no damping of the pressure wave. Water from a reservoir that flows through a 650mm pipe at 1.8m/s is completely stopped by a closure of a 160 m valve from the reservoir. The thickness of the pipe is 25mm, bulk modulus of water is 2.2x10⁹ Pa and E of steel is 1.4x10¹¹ Pa. Determine the following: a. Celerity of the pressure wave b. Equivalent bulk modulus of water c. Pressure on the pipe after closure of the valve d. Time required to avoid water hammer e. Water hammer pressure of the velocity will decrease to 1.2m/s f. Maximum permissible discharge after the outlet valve closure. ANSWER: d) t = 0.256 sec. e) Ph=pCAV = 749.8476 kPa f) Q = AV = 0.597 m³/s a) C = 1249.746m/s b) k' = 1.562x10⁹ Pa c) Ph=pCV = 2249.5428 kPa
- Oil (µ = 0.35 Pa-sec) flows through a horizontal 20 cm diameter circular pipe. The velocity at any point in the pipe’s cross-section a distance at a distance y from the center is: V =64(r² − y²) / μ where: r = 10 cm (radius of the pipe) Determine the following: a) Maximum flow velocity (m/sec) b) Shear stress (Pa) at the pipe’s centerline c) Shear stress (Pa) at the pipewalls?A welded steel cylindrical drum made of a 10-mm plate has an internal diameter of 14 m. Compute the change in diameter that would be caused by an internal pressure of 14 MPa. Assume that Poisson's ratio is 0.30 and E = 200 GPa.The fluid shown in figure has an absolute viscosity of 0.0010 Ib.sec/ft² and specific gravity of 0.913. calculate the velocity gradient and intensity of shear stress at the boundary and at points 1 in, 2 in and 3 in from the boundary assuming parabolic velocity distribution. 45 in/s The parabola in the A sketch has its vertex at A and passes through the origin at B. B
- Please be clear with your soltuion. In the figure, x=25cm initially. If the pressure at m is increase by 35 KPa while maintaining the pressure at n constant. Calculate the new value of x.2) Assuming we have a fluid with SG=0.6, and height of fluid in the piezometer tube equal to h=10m, what is the pressure at the M, P, S? PM =? Pp =? Ps = ? MOil flows through a circular pipe at a rate of 0.4m^3/s. Density p= 960kg/m3 Length of Pipe = 120m Head loss along the length = 7m Roughness of the pipe, ks = 0.07mm Kinematic viscosity v= 2 x 10^(-5) m2/s Find the diameter of the pipe to 3dp. (The final solution should be 0.34m, but i am confused with the method so if you could put a few notes next to calculations that would be very helpful). Ive attached a copy of the moody diagram aswell as it is relevant.