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A rotating viscometer consists of two concentric cylinders-an inner cylinder of radius
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Fluid Mechanics: Fundamentals and Applications
- For liquid viscosity measurement, it is desired to create a viscometer consisting of two 30 cm long concentric cylinders. The diameter of the inner cylinder is 20 cm and the diameter of the outer cylinder is 20.2 cm. Since a torque of 0.13 N cinsm is required to rotate the inner cylinder with an angular velocity of 40 rad / s, what will be the viscosity of the fluid in the viscometer in Pa⋅s? Take the value of as 3.arrow_forwardA rotating viscometer consists of two concentric cylinders—a stationary inner cyliner of radius Ri and an outer cylinder of inside radius Ro rotating at angular velocity (rotation rate) ?o. In the tiny gap between the two cylinders is the fluid whose viscosity (? ) is to be measured. The length of the cylinders in Fig is L. L is large such that end effects are negligible (we can treat this as a two-dimensional problem). Torque (T) is required to rotate the inner cylinder at constant speed. Showing all your work and algebra, generate an approximate expression of T as a function of the other variables.arrow_forwardA piston with a diameter of 0.8 m and width of L=0.6 m rotates with 6 rad/s inside a cylinder that has a diameter of 1 m that filled with oil that has a viscosity of -3 8x10 N.s/m What is the shear force that acts on the circumference of the piston (N)? Assume the variation in velocity of the oil is linear. piston L Oil 0.8 m 1 marrow_forward
- A plate situated at distance of 7 mm from a fixed plate is moving at velocity of 3 m/s. The gap between the plates is filled with oil with density of 800 kg/m3 and kinematic viscosity of 1,25·10-4 m2/s. What is the shear stress on the surfaces? Round off the answer to an integer in Pa, but enter the answer without the unit.arrow_forwardA 5.2 N force moves a piston inside a cylinder at a velocity of 3 m/s under specific density 0.89 is shown in Figure 1. The piston of 12.2 cm diameter is centrally located in the cylinder having an internal diameter of 12.27 cm. An oil film separates the piston from the cylinder. Find the kinematic viscosity of the oil.arrow_forwardThe Question is 50 mm-diameter and 100 mm-height cylinder is rotating with constant angularspeed of w= 300 rad/sec in a gap whose thickness varies linearly from 1 mm to 10 mm. The gap is filled with a fluid whose viscosity is 0.2 Ns/m2. Find the required torque that should be applied to the cylinder in order to maintain its motion.arrow_forward
- For the sliding plate viscometer shown below. The top plate is moving to the right with a constant velocity of 9.6 m/s in response to a force (F) N. The bottom plate is stationary. The kinamatic viscosity of the fluid betwen the two plates is 0.001 m2/s. Find the magnitude of the force (F) N, if the fluid specific gravity = 0.85, and water density = 1000 kg/m³. Assume a linear velocity distribution. 100 mm 50 mm 1 mmarrow_forward۱۵ Q3/ A dash pot is 0.2 m in diameter and 0.25 m long and it slides down in a vertical cylinder of diameter 0.21 m. The lubricating oil filled in the annular space has a viscosity of 0.5 poise and has a linear velocity profile. When the load on the piston is 25 N, find the speed with which the piston slides down. سرعة الله Dash pot Oil Cylinder- 0.2 m 25 N 0.21 m T 0.25 marrow_forwardWhat is the difference between dynamin and kinematic viscosity? That is the significance of these properties of liquid?arrow_forward
- A steel ball with the density of 6324 kg/m and the radius of 0,48 cm was dropped into the oil whose viscosity was to be measured as is seen in the figure. When the ball attains a constant velocity, the distance that the ball travelled was measured as 97 cm within the time interval of 4 sec. Before the experiment, the mass of the 100 ml-oil was measured as 2,8 gr. According to the data given above, find; a) the density of the oil (in kg/m). (Please do not use any decimal digit.) Yanıt:arrow_forwardThe space between two square flat parallel plates is filled with oil. Each side of the square plate is 0.8 m. The specific weight of the oil is 9620 N/m?, the thickness of the oil film is 16.6 mm and requires a force of 170 N. Take the kinematic viscosity of the liquid as 16 stokes. Determine (i) the shear stress (i) the density of oil (ii) the dynamic viscosity in poise and (iv) the moving velocity of the upper plate. (ENTER ONLY THE VALUE IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET. ALSO UPLOAD YOUR HAND WRITTEN ANSWERS IN THE LINK PROVIDED) ()Shear stress in N/m2 (ii)The density of oil in kg/m (ii)The dynamic viscosity in poise (iv)The moving velocity of the upper plate in m/s.arrow_forwardTwo plates are separated by 30 mm space. The lower plate moves at velocity of 2 m/s while the upper plate moves at a velocity of 8 m/s. Oil (S-0.84) which fills the space. The oil viscosity is equal to 0.003 m /s. The variation in velocity of the oil is linear. What is the shear stress in the oil (N/m2)? upper plate 8 m/s 30 mm OIL 2 m/s lower plate Lenovo K9 Note AI Dual Cameraarrow_forward
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