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Question 1 Drag tests show that the drag of a circular disc placed normally to the...
Fluid Mechanics QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting...
Fluid Mechanics
QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting on a ship is considered to be a function of the fluid density (p) viscosity (H). exavitlg). ship velocity (V), and characteristic length (). Using Buckingham П theorem, determine a set ofsuitable dimensionless numbers to describe the relationship.Fo f(p.H.g.V (4 marks) A 1:60 scale model of a ship is used in a water tank to simulate a ship speed of 10...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particle...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
show that the friction is zero. fs=(mgsin(teta))/(1+c^-1) Question 2 A circular object (disc, hoop, sphere) of...
show that the friction is zero.
fs=(mgsin(teta))/(1+c^-1)
Question 2 A circular object (disc, hoop, sphere) of mass M and radius R rolls from rest, down a slope from a heighth above the ground as shown in the figure Masine The acceleration of the centre of mass is given by q sin асы - The force of static friction is given by Ng sine CMR Show that the friction where the moment of inertia for the rolling object is of the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are either l-2 m or 12 = 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ = 1000 kg/mand its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
Question 5 (8 marks) The cart in Figure 1 moves at constant velocity V, and takes...
Question 5 (8 marks) The cart in Figure 1 moves at constant velocity V, and takes on water with a scoop of width B that dips h into a pond (the width B is normal to the paper). The fluid velocity in the pond is v=0. Neglect air drag and wheel friction. The aim is to estimate the force required to keep the cart moving. Assume density is constant. (i) Select a C.V. and clearly indicate w, v and n...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The wid...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
please help Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m²...
please help
Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w = 0.5 m and their lengths are either 11-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityu- 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on...
Fluid Mechanics
QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting on a ship is considered to be a function of the fluid density (p) viscosity (H). exavitlg). ship velocity (V), and characteristic length (). Using Buckingham П theorem, determine a set ofsuitable dimensionless numbers to describe the relationship.Fo f(p.H.g.V (4 marks) A 1:60 scale model of a ship is used in a water tank to simulate a ship speed of 10...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
show that the friction is zero.
fs=(mgsin(teta))/(1+c^-1)
Question 2 A circular object (disc, hoop, sphere) of mass M and radius R rolls from rest, down a slope from a heighth above the ground as shown in the figure Masine The acceleration of the centre of mass is given by q sin асы - The force of static friction is given by Ng sine CMR Show that the friction where the moment of inertia for the rolling object is of the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are either l-2 m or 12 = 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ = 1000 kg/mand its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
Question 5 (8 marks) The cart in Figure 1 moves at constant velocity V, and takes on water with a scoop of width B that dips h into a pond (the width B is normal to the paper). The fluid velocity in the pond is v=0. Neglect air drag and wheel friction. The aim is to estimate the force required to keep the cart moving. Assume density is constant. (i) Select a C.V. and clearly indicate w, v and n...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
please help
Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w = 0.5 m and their lengths are either 11-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityu- 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on...
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