A fluid flows with a constant velocity v- 3k(m/s). Calculate the flow rate in (m1 /s) through the part of the elliptic paraboloid z-x2 +y with y' with :34 and upward pointing normal 10 y_3k(m / s...
A fluid flows with a constant velocity v = 3k (m /s). Calculate the flow rate in (m3 /s) through the part of the elliptic paraboloid 3) with :S4 and upward pointing normal vector. v 3k (m/s) 2 -2 Figure 2. Elliptic paraboloid for which flux of fluid will be calculated. A fluid flows with a constant velocity v = 3k (m /s). Calculate the flow rate in (m3 /s) through the part of the elliptic paraboloid 3) with :S4...
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =< x2,-y, z >, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in the xy plane. 6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in...
flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l < y < l. (b) Same cylinder (kr, ky, kz) above, now with as flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l
Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k
all questions are related and need help answering! rough the surface 4. o pm) What is the value of the flux of the vector field F(x,y)j+z ioriented with upward- pointing normal vector? (A) 0 (B) 2n/3 (C) π (D) 4T/3 (E) 2π Use Stokes, Theorem to evaluateⅡcurl F.dS, where F(x, y, z)-(x2 sin Theorem to evaluate Jceun F'.asS , where Fl.e)(', ») and 5. (5pts.) F,y, sin z, y', xy) and s is the part of the paraboloid : -...
(1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate the flux integral of the vector field F 2i + j + 3k across the surface S (with N being the unit upward vector normal to the plane). B.I 48 C. I 72 E. 1 24 (1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate...
7. A fluid flows past a sphere with an upstream velocity of Vo = 40 m/s as shown in the figure below. From a more advanced theory, it is found that the speed of the fluid along the front part of the sphere is V = (3/2)Vo sin 0. 40° VO, - r oka (a) Determine the streamwise and normal components of the acceleration at point A if the radius of the sphere is a = 0.20 m. (b) Find...
11) (6 points) Given the velocity field V =101 +(x2 + y2); -2xy [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
Water flows through the hose with a velocity of V = 3 m/s. (Figure 1) Part A Determine the magnitude of the force F on the semicylindrical cup if it is moving to the right at 2.5 m/s. Express your answer to three significant figures and include the appropriate units. F = 354 N Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback Figure < 1 of 1 S0 mm 20 mm
3. Calculate the volume flow rate in units of m/s through the 7.874" diameter tube in Fig. 2 if the flowing liquid is water and the manometer fluid is mercury. (30 points) Plate 7.874 in D. = 10 cm V, = 8 m/s Figure 1 Figure 2