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(b) Determine the 31 dimension whether it homogenous or dimensionless P = 374VD Given that, P...
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure...
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure drop, Ap, which develops across the contraction is a function of D, and D2, as well as the velocity, V, in the larger pipe, and the fluid density, P, and viscosity, u. a) Why shouldn't you choose both D, and D2 as repeating variables? b) Use D, V, and u as repeating variables to determine a suitable set of dimensionless parameters using the Buckingham...
1. The force F on a propeller of diameter d is given by F = k...
1. The force F on a propeller of diameter d is given by F = k dºvp?, where v is the velocity of the propeller, p is the density of the fluid, k is the dimensionless constant of proportionality, and a, b, and are constant. (a) Find the dimensions of F, d, v and p. (4 marks) (b) Use dimensional analysis to determine the constants a, B, and 7. [6 marks]
Please solve urgently these questions 3. Using dimensionless analysis compute the falling velocity as a function of...
Please solve urgently these questions
3. Using dimensionless analysis compute the falling velocity as a function of fluid density r,, object density r,, acceleration g, diameter D, and viscosity m. 4. Calculate the power required to fly a blimp at v-6m/s in mid air, given that the drag force on the model in water is 2500N and L
The drag force Fp on a smooth sphere falling in water depends on the sphere speed...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
Recall that the Reynolds number is a dimensionless number that we use to discuss the flow...
Recall that the Reynolds number is a dimensionless number that we use to discuss the flow charecteristics of moving fluids. Generally speaking it is the ratio of momentum forces to viscous forces, and it depends on the diameter of the pipe, the density of the fluid, the velocity of the moving fluid, and the viscosity of the moving fluid. It is normally given by Re Where Re - Reynolds number [dimensionless) p- fuid density v- fud velocity D- pipe diameter...
01 ) During a study of a certain flow system the following equation was developed: P2=C+4.6'f...
01 ) During a study of a certain flow system the following equation was developed: P2=C+4.6'f LV P. P.Dg where pi an p2 are pressure between points 1 and 2, C is dimensionless constant, V is velocity, L is the distance between the points, D is the diameter, g is acceleration of gravity and f is drag coefficient. Determine the primary dimensions of the coefficient f so that this equation is homogenous. b) A 25-mm-diameter shaft is pulled through a...
The pressure drop, P, for flow through an orifice plate is a function of the orifice...
The pressure drop, P, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, , fluid viscosity, , and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
4. An incompressible fluid with viscosity u and density p was contained in pipe of length...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
Chemical Engineering Fluid Mechanics. Ron Darby u UUUUL) 26. A gas bubble of diameter d rises...
Chemical Engineering Fluid Mechanics. Ron Darby
u UUUUL) 26. A gas bubble of diameter d rises with velocity V in a liquid of density p and viscosity u. (a) Determine the dimensionless groups that include the effects of all the significant variables, in such a form that the liquid viscosity appears in only one group. Note that the driving force for the bubble motion is buoy- ancy, which is equal to the weight of the displaced fluid. (b) You want...
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...
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure drop, Ap, which develops across the contraction is a function of D, and D2, as well as the velocity, V, in the larger pipe, and the fluid density, P, and viscosity, u. a) Why shouldn't you choose both D, and D2 as repeating variables? b) Use D, V, and u as repeating variables to determine a suitable set of dimensionless parameters using the Buckingham...
1. The force F on a propeller of diameter d is given by F = k dºvp?, where v is the velocity of the propeller, p is the density of the fluid, k is the dimensionless constant of proportionality, and a, b, and are constant. (a) Find the dimensions of F, d, v and p. (4 marks) (b) Use dimensional analysis to determine the constants a, B, and 7. [6 marks]
Please solve urgently these questions
3. Using dimensionless analysis compute the falling velocity as a function of fluid density r,, object density r,, acceleration g, diameter D, and viscosity m. 4. Calculate the power required to fly a blimp at v-6m/s in mid air, given that the drag force on the model in water is 2500N and L
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
Recall that the Reynolds number is a dimensionless number that we use to discuss the flow charecteristics of moving fluids. Generally speaking it is the ratio of momentum forces to viscous forces, and it depends on the diameter of the pipe, the density of the fluid, the velocity of the moving fluid, and the viscosity of the moving fluid. It is normally given by Re Where Re - Reynolds number [dimensionless) p- fuid density v- fud velocity D- pipe diameter...
01 ) During a study of a certain flow system the following equation was developed: P2=C+4.6'f LV P. P.Dg where pi an p2 are pressure between points 1 and 2, C is dimensionless constant, V is velocity, L is the distance between the points, D is the diameter, g is acceleration of gravity and f is drag coefficient. Determine the primary dimensions of the coefficient f so that this equation is homogenous. b) A 25-mm-diameter shaft is pulled through a...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
Chemical Engineering Fluid Mechanics. Ron Darby
u UUUUL) 26. A gas bubble of diameter d rises with velocity V in a liquid of density p and viscosity u. (a) Determine the dimensionless groups that include the effects of all the significant variables, in such a form that the liquid viscosity appears in only one group. Note that the driving force for the bubble motion is buoy- ancy, which is equal to the weight of the displaced fluid. (b) You want...
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...
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