The velocity field of a fluid v (in meters per second) has divergence div(v)(P) = 3 at the point P = (1, 1, 4). Estimate the flow rate out of the sphere of radius 0.4 centered at P. (Use decimal notation. Give your answer to four decimal places.)
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- 1. A fluid (s=0.9) flows through a 75 mm diameter pipe at a velocity of 6 m/sec. Compute the Volume flow rate. (m3/s) Round your answer to 4 decimal places.A fluid is flowing with the following velocity profile u = yxy3 – x^y 3 = xy² - y² If the flow is 2D and incompressible then find the value of y? vA two-dimensional flow field for a liquid is defined by V[(z+2y³)i + (2x-3y)j m/s, where z and y are in meters Part A Determine the magnitude of the velocity of a particle located at (-2 m, 1.2 m) Express your answer to three significant figures and include the appropriate units. V= Submit Part B Request Answer Determine the direction of the velocity of a particle located at (-2 m. 1.2 m). Measure the angle counterclockwise from the positive z axis. Express your answer in degrees to three significant figures. 0- Submit Request Answer
- The velocity field of a flow is given by V = 28y/(x2+ y2)1/2¡ - 28x/(x² + y2)1/2j ft/s, where x and y are in feet. Determine (a) the fluid speed at points along the x axis; (b) the fluid speed at points along the y axis. What is the angle between the velocity vector and the x axis (use the range (-180°; 180°]) at points (c) (x, y) = ( 9,0); (d) (x, y) = ( 9, 9); (e) (x, y) = (0, 9)? (a) vx = i ft/s. (b) Vy= i ft/s. (c) 0 = i %3D (d) 0 = (e) 0 = i %3DConsider the velocity field, V(x, y) = xy² î – x²y} where lengths are in meters and time is in seconds. a. What is the acceleration of the fluid particle at (x,y) = (2,1)? b. Is the flow steady? c. Is the flow uniform? d. Is the flow incompressible? e. Is the flow irrotational?Oil flows at the rate of 0.22 m/s in a 500 mm diameter pipeline 500 m. long. Specific gravity of oil is 0.86. Neglecting minor losses and f = 0.018, compute the average velocity of flow. Do not write the unit. You will only input the numerical answer in the space provided. Unit of the Correct Answer: m/s Decimal Places required in the final answer: 2
- The velocity profile of a liquid flowing through the pipe is approximated by the truncated conical distribution as shown in (Figure 1). Suppose that V = 4 ft/s. Hint: The volume of a cone is V=1/r²h. 0.3 ft 0.6 ft 0.3 ft DE V Determine the average velocity of the flow. Express your answer to three significant figures and include the appropriate units.Fluid mechanics- Bernoulli's Equation along a streamline: The flow-metering device shown consists of a stagnation probe at station 2 and a static pressure tap at station 1. The velocity at station 2 is twice that at station 1. Air with a density of 1.2kg/m3 flow through the duct. A water manometer is connected between the stagnation probe and the pressure tap, and a deflection of 10cm is measured. What is the velocity at station 2?The below equations describe the velocity components in a flow field: v = 4y3z, Please estimate the total acceleration of the fluid at the location x=lm, y=1m, z=0.5m when u = x?y, w = 3t t=2s.
- Determine whether the flow is turbulent or laminar if a fluid flows at 0.001?^3/? through a 100mm diameter pipe.Benzene (SG=1.587) flows through a 150-mm diameter pipe at a mean velocity of 3.50 m/s. Find the weight flow rate. Unit of the Correct Answer: N/s O 269.219 O 962.912 O 926.912 O 692.291The water from a fire hose follows a path described by y=4.0+0 4x-0 20x (units are in metres). If v, is constant at 5.0 m/s, find the resultant velocity at the point (2.0.4.0). Find the magnitude of the velocity of the water at the point (2.0.4.0) The magnitude is approximately m/s. (Type an integer or decimal rounded to one decimal place as needed) CODD