An infinite plate is moved over a second plate on a layer of liquid as shown. For small gap width, d, we assume a linear velocity distribution in the liquid. The liquid kinematic viscosity is 0.00739 cm²/s and its density is 880 kg/m³. Determine the shear stress on the upper plate, in N/m?. y U = 0.3 m/s d = 0.3 mm

(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m?/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)

Consider a large dirigible (like the Goodyear blimp) with length L = 240 m, and average diameter D = 40 m moving at a speed U = 135 km/hr at high altitude where the air density is p = 0.9 kg/m³ and the dynamic viscosity is u = 1.8 x 10-5 N – s/m². Because of the large size of the blimp and its large radius of curvature the primary forces acting on it are due to shear stresses at the surface, and the entire surface area can be approximated by its layout as a flat plate. Determine the drag force acting on the dirigible due to shear stresses, and the power required for the engine.

SAE-10 oil at 20 deg C fills the gap between the moving  6 cm diameter long cylinder which is inside a fixed outer cylinder 6.8 cm diameter. Calculate the  pressure gradient per unit length needed so the shear stress on the outer cylinder is exactly equal to zero when the inner cylinder is moving with velocity  V=4 m/s in the negative z-direction. Assume laminar flow. The viscosity of the oil is 99.2 cp. Express your result in kPa/m and round your numerical answer to a whole number

Please solve the following fluid mechanics questions

P1 A thin layer of water flows down a plate inclined to the horizontal with an angle a = 15° in the shown coordinate system. If the thickness of the water layer is a=0.5 mm, assuming that the flow is laminar and incompressible, (water density p = 1000 kg/m³viscosity µ = 0.001 Pa.s and acceleration of gravity g = 9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with a shear stress of 1 N /m². Solve the Navier-Stokes equation: air water (a) to find the value of the maximum water velocity in m/s to three decimal points, Answer: (b)and to find the value of water velocity at the layer's surface in m/s to three decimal points, Answer:

Please try to solve in 30 minute

Please don't use Artificial intelligence tools. Only Handwritten solution

Stop using Chatgpt. I need a correct handwritten solution.

can someone explain this question please