3. The stress tensor of a fluid in motion is given by -P T = T₁ .T₂ 71 T2 -P 0 0 -P] where P, T1 and t2 are known. (a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A that are perpendicular to the unit vectors (a.1) n = ei (a.2) n = Ze+ +e (b) What are the normal stresses acting on the two surfaces specified above?

3. The stress tensor of a fluid in motion is given by -P T = T₁ .T₂ 71 T2 -P 0 0 -P] where P, T1 and t2 are known. (a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A that are perpendicular to the unit vectors (a.1) n = ei (a.2) n = Ze+ +e (b) What are the normal stresses acting on the two surfaces specified above?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The stress tensor below is given for x, y, z coordinate system. Find the stress tensor if x, ycoordinates are rotated 45° clockwise.[?] = 4 1 2 1 6 0 2 0 8
If a stream flowing at velocity U past a body of lengthL causes a force F on the body that depends only on U , L ,and fluid viscosity μ , then F must be proportional to(a) ρUL/μ, (b) ρU2L2, (c) μU/L, (d) μUL, (e) UL/μ
Find the kinematic viscosity of an oil having density of 980kg/m^2 when at a certain point in the oil, the shear stress is 0.25 Pa and the velocity gradient is 0.3 m/s.
A pipe AB carries water and tapers uniformly from a diameter of 4" at A to 8" at B over a length of 6 ft. Pressure gauges are installed at A, B and also at C, the midpoint of AB. If the pipe centerline slopes upwards from A to B at an angle of 30° and the pressures recorded at A and B are 2.0 and 2.3 bar, respectively. (1 bar = 14.5 psi) Illustrate the problem before answering the following questions:
between two infinite surfaces with lateral cross-section It is coated with glycerin with an absolute viscosity of μ = 1.025 Ns / m2. This a cube parallel to two surfaces and with sides of c x c x c cm slides downwards. If the density of the cube is ρ = 254 kg / m3 then U Find the velocity (m / s). (g = 9.81 m / s2)
A smooth square cylinder is put in 15 °C flowing water. The flow direction is perpendicular to the long axis of the cylinder (parallel to the square section). The edge length of the square is s=2.0m. The long axis length is L=5.0m. The flow velocity is v=0.046 m/s. The density of water is ρ=1000kg/m3. T he dynamic viscosity is η=1.15×10-3kg/m·s. (3) Calculate the drag force FD_________N (2 decimal places)
One end/side of the pipe is positioned on level (h1) and the other is tilted upward at a height h2.The pressure values of fluid within this pipe, both on level and up, are measured as P1 and P2.If the fluid flow is kept at constant speed,use Bernoulli’s principle to show that pressure of the fluid inside the pipe tilted upward, P2, is given by: P2=P1 -ρgh2
2.) We are on the space station, so there is no effective gravity. In a small fluid experiment, a small spherical bacteria of 1 mm radius is moving at a speed of +1.50 mm/second horizontally in the fluid. The bacteria has a density of 1500. kg/m^3. (3a) Draw a free-body diagram, labeling all forces and show the likely direction of Fnet (3b) What is the mass of the bacteria? (3c) If the value of the viscosity is 1.25 kg/m/s, then what is the net acceleration experienced by the bacteria at that moment.
Water flowing at 1.0 ft/s in a pipe passes into a constriction where area is one-tenth the normal pipe area. What is the decrease in water pressure in the constriction? The weight density of water is 62.4 lbs/ft^3. (Figure, Formula, Solution)
A solid cone of angle 2θ, mass (m), base radius (r0), and density (ρc), is rotating with angular velocity (w0) on its conical seat. The clearance (h) is filled with oil of viscosity (μ). Neglecting air resistance, determine: a) an expression for the moment (M) as a function of r0, w0,μ,θ, and h. b) an expression for the angular velocity (w) for t≥0 as a function of w0,μ,θ,h, r0,m and t if an external torque is not applied. If the radius of gyration of the cone is 16 cm, determine: c ) the value of the angular momentum and velocity if w0=60RPM,h=0.05mm,θ=30°,μ=0.98cPoise , m=20kg, t=2.0s
Fluids mechanics suject In the figure shown, compute the pressure difference between m and n when1. Fluid A is brine (rd = 1.15), the gage fluid is oil (rd = 0.92) and z = 1 m.
For the two-dimensional stress field shown in Fig. suppose thatσxx = 2000 lbf/ft2 σyy = 3000 lbf/ft2 σn(AA) = 2500 lbf/ft2Compute ( a ) the shear stress σ xy and ( b ) the shear stress onplane AA .