liquid film is flowing down an inclined wall
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A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
Two boxes on inclined plane fastened to wall. Two boxes on inclined plane fastened to wall...
Two boxes on inclined plane fastened to wall.
Two boxes on inclined plane fastened to wall Two blocks are connected by a massless string and are held in position by another massless string along a frictionless incline (as shown in the figure). Let M1 = 3.10 kg, M2 = 2.50 kg, and @ = 58.0°. Calculate the tension in the string connecting the two blocks. M2 21 Submit Answer Tries 0/10 What is the tension in the string which connects...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
3. (20 pts) A constant-thickness film of viscous liquid flows in laminar motion down a plate inclined at an angle 6, as shown in the figure. The velocity profile is (a) Find the constant C in terms o...
3. (20 pts) A constant-thickness film of viscous liquid flows in laminar motion down a plate inclined at an angle 6, as shown in the figure. The velocity profile is (a) Find the constant C in terms of the specific weight and viscosity and the angle θ. Find the volume flux O per unit width in terms of these parameters. (b) What are the appropriate boundary conditions at y 0 and y h? uly)
3. (20 pts) A constant-thickness film...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
For a thin film of a glycerin flowing with a velocity of 2.40 m/s at a...
For a thin film of a glycerin flowing with a velocity of 2.40 m/s at a depth of 4 mm at 20°C, determine the value of two important dimensionless parameters: (a) the Froude number, V/(gh)1/2, (b) the Weber number, pV2h/o. (a) V/(gh) 1/2 = i (b) pV2h/o =
An inclined wall of a large water storage facility is shown below. The wall has a...
An inclined wall of a large water storage facility is shown below. The wall has a circular gate built into it. The gate rotates about a central shaft and is held closed by stop. For the conditions shown below: a (a) On a neat diagram draw the pressure distribution acting on the circular gate due to the water in the tank. [4 Marks] (b)Determine the magnitude, direction and location of the water force acting on the circular gate. [9 Marks]...
Water at 200 C is steadily flowing an angre) verging pipe section that is inclined by...
Water at 200 C is steadily flowing an angre) verging pipe section that is inclined by the figtun an C is steadily flowing throle of ong with an diameter of 10 mm C2. The kPa ction 2). The smal pect to the horizontal (See initial testing sectio The total testing section length is 2ction small final diameter of 20 mm (Seetion2 of 100 diameter section shows a gage presas. Other ibriun D2 20 mm and average flow velocity will be...
Water at 20 C is steadily flowing through a diverging pipe section that is inclined by...
Water at 20 C is steadily flowing through a diverging pipe section that is inclined by an angle of 30° with respect to the horizontal (See the figure) The total testing section length is 20 m long with an initial pipe diameter of 10 mm (Section 1) and final diameter of 20 mm (Section 2). The small diameter section shows a gage pressure of 100 kPa and average flow velocity 10 m/s. Other values will be obtained by reaching complete...
Water is flowing in a 12-inch pipe inclined downward on a slope of 10% as shown...
Water is flowing in a 12-inch pipe inclined downward on a slope of 10% as shown below. The discharge is 1000 gpm and piezometers located 30 ft. apart measure a difference in piezometric head of 0.1 ft. a) What is the pressure drop across the pipe? b) What is the shear stress exerted on the pipe boundary? c) What is the shear velocity? d) What is the Darcy friction factor?
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
Two boxes on inclined plane fastened to wall.
Two boxes on inclined plane fastened to wall Two blocks are connected by a massless string and are held in position by another massless string along a frictionless incline (as shown in the figure). Let M1 = 3.10 kg, M2 = 2.50 kg, and @ = 58.0°. Calculate the tension in the string connecting the two blocks. M2 21 Submit Answer Tries 0/10 What is the tension in the string which connects...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
3. (20 pts) A constant-thickness film of viscous liquid flows in laminar motion down a plate inclined at an angle 6, as shown in the figure. The velocity profile is (a) Find the constant C in terms of the specific weight and viscosity and the angle θ. Find the volume flux O per unit width in terms of these parameters. (b) What are the appropriate boundary conditions at y 0 and y h? uly)
3. (20 pts) A constant-thickness film...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
For a thin film of a glycerin flowing with a velocity of 2.40 m/s at a depth of 4 mm at 20°C, determine the value of two important dimensionless parameters: (a) the Froude number, V/(gh)1/2, (b) the Weber number, pV2h/o. (a) V/(gh) 1/2 = i (b) pV2h/o =
An inclined wall of a large water storage facility is shown below. The wall has a circular gate built into it. The gate rotates about a central shaft and is held closed by stop. For the conditions shown below: a (a) On a neat diagram draw the pressure distribution acting on the circular gate due to the water in the tank. [4 Marks] (b)Determine the magnitude, direction and location of the water force acting on the circular gate. [9 Marks]...
Water at 200 C is steadily flowing an angre) verging pipe section that is inclined by the figtun an C is steadily flowing throle of ong with an diameter of 10 mm C2. The kPa ction 2). The smal pect to the horizontal (See initial testing sectio The total testing section length is 2ction small final diameter of 20 mm (Seetion2 of 100 diameter section shows a gage presas. Other ibriun D2 20 mm and average flow velocity will be...
Water at 20 C is steadily flowing through a diverging pipe section that is inclined by an angle of 30° with respect to the horizontal (See the figure) The total testing section length is 20 m long with an initial pipe diameter of 10 mm (Section 1) and final diameter of 20 mm (Section 2). The small diameter section shows a gage pressure of 100 kPa and average flow velocity 10 m/s. Other values will be obtained by reaching complete...
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